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Graph with sign-labeled edges
In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign. A signed graph is balanced if
Signed_graph
Theory of attitude change
3-cycles in a signed graph. The sign of a path in a graph is the product of the signs of its edges. They considered cycles in a signed graph representing
Balance_theory
Number of edges touching a vertex in a graph
the graph) is a special kind of regular graph where all vertices have the maximum possible degree, n − 1 {\displaystyle n-1} . In a signed graph, the
Degree_(graph_theory)
Ancient proverb
mathematical sociology, a signed graph may be used to represent a social network that may or may not be balanced, depending upon the signs found along cycles
The enemy of my enemy is my friend
The_enemy_of_my_enemy_is_my_friend
Integer matrices with +1 or −1 determinant; invertible over the integers. GL_n(Z)
of a balanced signed graph; thus, this example says that the incidence matrix of a signed graph is totally unimodular if the signed graph is balanced.
Unimodular_matrix
Graph whose edges are given independent directions at both ends
skew-symmetric graph is the double covering graph of a bidirected graph. A bidirected graph may be regarded as an orientation of a signed graph, similarly
Bidirected_graph
Information-carrying connections between people
separation Bridge (interpersonal) Simmelian tie Social connection Signed graph – Graph with sign-labeled edges Granovetter, Mark (2005). "The Impact of Social
Interpersonal_ties
Number property of being positive or negative
Percent sign Plus–minus sign Positive element Signedness Symmetry in mathematics Weisstein, Eric W. "Sign". mathworld.wolfram.com. Retrieved 2020-08-26
Sign_(mathematics)
Matrix that shows the relationship between two classes of objects
signed graph is a generalization of the oriented incidence matrix. It is the incidence matrix of any bidirected graph that orients the given signed graph
Incidence_matrix
Graph with group-labeled edges
the gain of e (in some indicated direction). A gain graph is a generalization of a signed graph, where the gain group G has only two elements. See Zaslavsky
Gain_graph
Concept in network science
stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized
Stochastic_block_model
Concept in science
learning, e.g., correlation clustering, naturally often deal with a signed graph where the edge weight indicates whether two nodes are similar (correlated
Negative_probability
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Abstraction of linear independence of vectors
matroid of G {\displaystyle G} . A signed graph, whose edges are labeled by signs, and a gain graph, which is a graph whose edges are labeled orientably
Matroid
Subdivision of vertices into disjoint sets
In mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups. Edges
Graph_partition
Graph with a list of distinguished cycles
essentials of a gain graph and in particular of a signed graph. Formally, a biased graph Ω is a pair (G, B) where G is a graph and B is a linear class
Biased_graph
Problem in graph theory
every connected signed graph G. Edwards's bound for arbitrary graphs was improved for special classes of graphs: triangle-free graphs, graphs of given maximum
Maximum_cut
Matrix representation of a graph
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian
Laplacian_matrix
signed_backbones: Python package for extracting signed backbones of intrinsically dense weighted networks., retrieved 2023-08-09 Signed graph Balance theory
Signed_network
two-graph on the set E. A two-graph is equivalent to a switching class of graphs and also to a (signed) switching class of signed complete graphs. Switching
Two-graph
Topics referred to by the same term
clustering coefficient Correlation clustering, a way of clustering nodes in a signed graph Cluster (disambiguation) This disambiguation page lists articles associated
Clustering
Graphs formed by a hypercube's edges and vertices
In graph theory, the hypercube graph Q n {\displaystyle Q_{n}} is the edge graph of the n {\displaystyle n} -dimensional hypercube, that is, it is the
Hypercube_graph
Distance from a point to the boundary of a set
In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary
Signed_distance_function
A family of simple undirected graphs defined by spectral properties
In graph theory, a nut graph is a finite simple graph with at least two vertices whose adjacency matrix has nullity one and whose kernel is spanned by
Nut_graph_(graph_theory)
Visual technique in topological graph theory
topological graph theory, a ribbon graph is a way to represent graph embeddings, equivalent in power to signed rotation systems and graph-encoded maps
Ribbon_graph
Directed graph isomorphic to its own transpose graph
In graph theory, a branch of mathematics, a skew-symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by
Skew-symmetric_graph
American mathematician (1921–2005)
American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. Harary was a master of clear
Frank_Harary
Grouping a set of objects by similarity
the HCS clustering algorithm. Signed graph models: Every path in a signed graph has a sign from the product of the signs on the edges. Under the assumptions
Cluster_analysis
Spectral graph theory concept
spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal graph theory). Such graphs are
Ramanujan_graph
Mathematical symbols (+ and −)
raised minus sign (¯) is sometimes used for negative constants, as in elementary education, the programming language APL, and some early graphing calculators
Plus_and_minus_signs
Analysis of social structures using network and graph theory
relationship (hatred, anger). Signed social network graphs can be used to predict the future evolution of the graph. In signed social networks, there is the
Social_network_analysis
Point where the curvature of a curve changes sign
a smooth plane curve at which the curvature changes sign. In particular, in the case of the graph of a function, it is a point where the function changes
Inflection_point
Type of diagrammatic notation for propositional logic
An existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic
Existential_graph
Interdisciplinary field of research
represented as signed graphs. A signed graph is called balanced if the product of the signs of all relations in every cycle (links in every graph cycle) is
Mathematical_sociology
File format
DOT is a graph description language, developed as a part of the Graphviz project. DOT graphs are typically stored as files with the .gv or .dot filename
DOT (graph description language)
DOT_(graph_description_language)
Type of chart
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that
Bar_chart
Symbol representing the word "and" (&)
and sign, is the logogram &, representing the conjunction "and". It originated as a ligature of the word et (Latin for 'and'). Ampersand: the sign & the
Ampersand
Binary operation combining the vertex and edge sets of two graphs
In graph theory, a branch of mathematics, the disjoint union of graphs is an operation that combines two or more graphs to form a larger graph. It is
Disjoint_union_of_graphs
Partition of a graph by removing fewest possible edges
In graph theory, a minimum cut or min-cut of a graph is a cut (a partition of the vertices of a graph into two disjoint subsets) that is minimal in some
Minimum_cut
Graph database
JanusGraph is an open source, distributed graph database under The Linux Foundation. JanusGraph is available under the Apache License 2.0. The project
JanusGraph
Second-smallest eigenvalue of a graph Laplacian
known as Fiedler value or Fiedler eigenvalue after Miroslav Fiedler) of a graph G is the second-smallest eigenvalue (counting multiple eigenvalues separately)
Algebraic_connectivity
Concept in graph theory
In the mathematical field of graph theory, the pancake graph Pn or n-pancake graph is a graph whose vertices are the permutations of n symbols from 1 to
Pancake_graph
24-vertex symmetric bipartite cubic graph
In the mathematical field of graph theory, the Nauru graph is a symmetric, bipartite, cubic graph with 24 vertices and 36 edges. It was named by David
Nauru_graph
Abstract structure with colored elements
colored Tutte polynomial, which generalizes the Tutte polynomial of a signed graph of Kauffman (1989). There has also been study of optimization problems
Colored_matroid
Method of partitioning data points into groups based on their similarity
+ {\displaystyle +} or − {\displaystyle -} (that is, the graph is a signed graph), indicating whether the corresponding endpoints are similar or dissimilar
Correlation_clustering
Psychoanalytic tool devised by Jacques Lacan
The graph of desire (French: graphe du désir) is a conceptual tool in Lacanianism. Lacan devised numerous quasi-mathematical diagrams to represent the
Graph_of_desire
Operation in graph theory
In graph theory, the Cartesian product G □ H of graphs G and H is a graph such that: the vertex set of G □ H is the Cartesian product V(G) × V(H); and
Cartesian_product_of_graphs
Graphical representation of energy flows in physical systems
A bond graph is a graphical representation of the energy flows though and between physical dynamical systems including those in the electrical, mechanical
Bond_graph
of Syrian descent; known as the father of the Modern Graph Theory. He invented the Signed graph. Farouk El-Baz, Egyptian American space scientist and
List of modern Arab scientists and engineers
List_of_modern_Arab_scientists_and_engineers
Social structure made up of a set of social actors
field which emerged from social psychology, sociology, statistics, and graph theory. Georg Simmel authored early structural theories in sociology emphasizing
Social_network
Subset of a graph's nodes such that all other nodes link to at least one
In graph theory, a dominating set for a graph G is a subset D of its vertices, such that any vertex of G is in D, or has a neighbor in D. The domination
Dominating_set
On the number of spanning trees in a graph
mathematical field of graph theory, Kirchhoff's theorem or Kirchhoff's matrix tree theorem is a theorem about the number of spanning trees in a graph. It states
Kirchhoff's_theorem
Duality of graph colorings and orientations
In graph theory, the Gallai–Hasse–Roy–Vitaver theorem is a form of duality between the colorings of the vertices of a given undirected graph and the orientations
Gallai–Hasse–Roy–Vitaver theorem
Gallai–Hasse–Roy–Vitaver_theorem
Graph with at most one cycle per component
In graph theory, a pseudoforest is an undirected graph in which every connected component has at most one cycle. That is, it is a system of vertices and
Pseudoforest
In algebraic topology and graph theory, graph homology describes the homology groups of a graph, where the graph is considered as a topological space.
Graph_homology
Operation combining two oriented knots
mathematics that studies knots is known as knot theory and has many relations to graph theory. A knot is an embedding of the circle (S1) into three-dimensional
Knot_(mathematics)
Topics referred to by the same term
WBT-FM, a radio station in Charlotte, North Carolina, US, that used call sign WLNK 1997–2025 Air Link, New South Wales, Australia Hong Kong Link, toll
Link
Horizontal and vertical axes/coordinate numbers of a 2D coordinate system or graph
two-dimensional rectangular space. More technically, the abscissa of a point is the signed measure of its projection on the primary axis. Its absolute value is the
Abscissa_and_ordinate
Human contact that exists because of a mutual friend
networks beyond triangles, Dorwin Cartwright and Frank Harary used signed graphs to indicate positive or negative sentiments between persons. In 1963
Friend_of_a_friend
Periodic spatial graph
Laves graph is an infinite and highly symmetric system of points and line segments in three-dimensional Euclidean space, forming a periodic graph. Three
Laves_graph
American psychologist (1928–2005)
early attempt, using an idiosyncratic kind of adjacency matrix of a signed graph, at a descriptive (rather than prescriptive) psychological organization
Robert_Abelson
Solid with six equal square faces
drawing a graph with vertices connected with an edge in a plane. Such a graph is called the cubical graph, a special case of the hypercube graph. The cube
Cube
Matroid that can be represented over all fields
copies of the matroid called R10. R10 is the matroid of the all-negative signed graph − K 5 {\displaystyle -K_{5}} . There is a polynomial time algorithm for
Regular_matroid
Constructs with triply-connected vertices
connected 3-regular (cubic) simple graphs are listed for small vertex numbers. The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is
Table_of_simple_cubic_graphs
Graphical means of performing computations in linear algebra
a trace diagram's function is computed using signed graph coloring. For each edge coloring of the graph's edges by n labels, so that no two edges adjacent
Trace_diagram
Polyhedral compromise map projection
AuthaGraph is an approximately equal-area world map projection invented by Japanese architect Hajime Narukawa in 1999. The map is made by equally dividing
AuthaGraph_projection
Abstraction of ordered linear algebra
matroid is a mathematical structure that abstracts the properties of directed graphs, vector arrangements over ordered fields, and hyperplane arrangements over
Oriented_matroid
French software company
Linkurious is a software company specialized in graph-based technology for various use cases such as financial crime, intelligence, cybersecurity, supply
Linkurious
Aspect of topological graph theory
embedded graph G {\displaystyle G} may be denoted G π {\displaystyle G^{\pi }} . It can be obtained from a signed rotation system or ribbon graph representation
Petrie_dual
Archimedean solid with 8 faces
World Cup. In the mathematical field of graph theory, a truncated tetrahedral graph is an Archimedean graph, the graph of vertices and edges of the truncated
Truncated_tetrahedron
Algebraic encoding of graph connectivity
is a graph polynomial. It is a polynomial in two variables which plays an important role in graph theory. It is defined for every undirected graph G {\displaystyle
Tutte_polynomial
Function in algebraic graph theory
chromatic polynomial is a graph polynomial studied in algebraic graph theory, a branch of mathematics. It counts the number of graph colorings as a function
Chromatic_polynomial
Type of active circuit electronic filter
suitable for expression as a signal-flow graph. Draw the signal-flow graph. The nodes of the signal-flow graph will include both voltages and currents
Leapfrog_filter
Point where a function crosses an axis and changes sign
the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis (zero value) in the graph of the
Zero_crossing
Application publishing software
GraphOn GO-Global is a multi-user remote access application for Windows. GO-Global is a product of GraphOn Corporation. GraphOn was founded in 1982 as
GraphOn
Sixteenth letter of the Latin alphabet
Alphabet prior to its formal standardization in 1902 ₱ : Philippine peso sign 𝒫, 𝓅 : script letter P (uppercase and lowercase, respectively), used in
P
Mathematical operation
respect to time. On the graph of a function, the sign of the second derivative is related to the concavity of the graph. The graph of a function with a positive
Second_derivative
Mathematics problem
polynomial time to within the approximation factor 1.375. An n-pancake graph is a graph whose vertices are the permutations of n symbols from 1 to n and its
Pancake_sorting
Polynomial function of degree 3
four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of the form
Cubic_function
First letter of the Latin alphabet
had no use for a letter representing a glottal stop—so they adapted the sign to represent the vowel /a/, calling the letter by the similar name alpha
A
Operation in mathematical calculus
thereafter. A definite integral computes the signed area of the region in the plane that is bounded by the graph of a given function between two points in
Integral
American mathematician
on signed graphs and their applications. Zaslavsky, Thomas (2015). "Bibliography, glossary, and problem list for signed, gained, and biased graphs". Binghamton
Thomas_Zaslavsky
Large language model developed by Google
physically interact with the world". In accordance with an executive order signed by U.S. President Joe Biden in October, Google stated that it would share
Gemini_(language_model)
Association of one output to each input
is uniquely represented by the set of all pairs (x, f (x)), called the graph of the function, a popular means of illustrating the function. When the
Function_(mathematics)
Geometric model of the planar projection of the physical universe
Such a drawing is called a plane graph or planar embedding of the graph. A plane graph can be defined as a planar graph with a mapping from every node to
Euclidean_plane
Fourteenth letter of the Latin alphabet
Alphabetic Inscriptions. SubclassPress. ISBN 9780995284401. "Gardiner's Sign List of Egyptian Hieroglyphs – Egyptian Hieroglyphs". Retrieved 24 June 2024
N
Pandemic caused by SARS-CoV-2
Guterres appealed for a global ceasefire; 172 UN member states and observers signed a non-binding supporting statement in June, and the UN Security Council
COVID-19_pandemic
Twentieth letter of the Latin alphabet
Windows, ISO-8859 and Macintosh families of encodings. The letter T in German Sign Language Unicode treats representation of letters of the Latin alphabet written
T
Formula that provides the solutions to a quadratic equation
Geometrically, the roots represent the x {\displaystyle x} values at which the graph of the quadratic function y = a x 2 + b x + c {\displaystyle \textstyle
Quadratic_formula
Knowledge Graph which when clicked, makes confetti explode. "panipuri( see it )" will show three types of panipuris in the Knowledge Graph, which when
List_of_Google_Easter_eggs
algorithm for constructing maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints,
List_of_algorithms
3D graphics computer library
OpenSceneGraph is an open-source 3D graphics application programming interface (library or framework), used by application developers in fields such as
OpenSceneGraph
List of Windows 10 operating system versions
("activities"). When users consent to Microsoft data collection via Microsoft Graph, activities can also be synchronized from supported Android and iOS devices
Windows_10_version_history
Professional network website
analytics Inspired by Facebook's "social graph", LinkedIn CEO Jeff Weiner set a goal in 2012 to create an "economic graph" within a decade. The goal was to create
Fifteenth letter of the Latin alphabet
∅ º ℅ Sisters ᴥ Ƹ ʿ О Ю Ө ע ع ܥ ࠏ ዐ ࡘ ჺ Ո ո Օ օ ᱳ ᱜ ᱣ Other Associated graphs o(x) Writing direction Left-to-right This article contains phonetic transcriptions
O
Graph describing a topological embedding
embeddings include signed rotation systems and ribbon graphs. The graph-encoded map for an embedded graph G {\displaystyle G} is another cubic graph H {\displaystyle
Graph-encoded_map
Twenty-fifth letter of the Latin alphabet
Norwegian, and Swedish. In the West Slavic languages, ⟨y⟩ was adopted as a sign for the close central unrounded vowel /ɨ/; later, /ɨ/ merged with /i/ in
Y
American politician (born 1954)
disinformation" is effective "because it's portrayed to the public with graphs and figures and what appears to be scientific data. He has perfected the
Robert_F._Kennedy_Jr.
U.S. presidential administration since 2025
On January 29, Trump signed the Laken Riley Act into law, the first legislation of his second term. On the same day, he signed a presidential memorandum
Second presidency of Donald Trump
Second_presidency_of_Donald_Trump
Instantaneous rate of change (mathematics)
chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation
Derivative
SIGNED GRAPH
SIGNED GRAPH
Male
English
English surname transferred to unisex forename use, from a Norman baronial name from Saint-Denis in France, SIDNEY means "St. Denis."
Girl/Female
Welsh
God is gracious. God's gift.
Surname or Lastname
English
English : unexplained. It has been suggested that it may be a French Huguenot name, possibly an altered form of Ruvigny.
Girl/Female
Latin
Sign.
Girl/Female
Latin American Swedish
Sign.
Female
Norse
Variant spelling of Old Norse Signy, SIGNE means "new victory."
Girl/Female
Australian, Danish, Finnish, German, Latin, Scandinavian, Swedish
Sign; New Victory
Male
Norwegian
Danish and Norwegian form of Old Norse Sigurðr, SIGURD means "victory guard." In Norse legend, this is the name of a hero of the Volsungasaga.
Girl/Female
Swedish
Victorious.
Surname or Lastname
English
English : habitational name from Sidney in Surrey and Lincolnshire, so named from Old English sīd ‘wide’ + ēg ‘island’, ‘dry island in a fen’, with the adjective retaining traces of the weak dative ending, originally used after a preposition and definite article. Two places in Cheshire called Sydney are from Old English sīd + halh ‘nook’, ‘recess’ and may also be sources of the surname.English : possibly a habitational name from a place in Normandy called Saint-Denis, from the dedication of its church to St. Dionysius (see Dennis). There is, however, no evidence to support this derivation beyond occasional early modern English forms such as Seyndenys, which may equally well be the result of folk etymology.
Girl/Female
Arthurian Legend
Percival's cousin.
Girl/Female
Hebrew English Irish
Kind.
Girl/Female
Australian, Welsh
God is Gracious; God's Gift; Welsh Form of Jane
Surname or Lastname
Jewish (Ashkenazic)
Jewish (Ashkenazic) : occupational name for a cantor in a synagogue, from Yiddish zinger ‘singer’.English : variant of Sanger 2, in fact a Middle English recoinage from the verb sing(en) ‘to sing’.German : variant of Sänger (see Sanger 1) in the sense of ‘poet’.Isaac Merrit Singer, inventor of the eponymous sewing machine, was born in 1811 in Pittstown, NY, the son of German immigrant Adam Reisinger. He had five wives and fathered 24 children. Singer, who incorporated his company as the Singer Manufacturing Company in 1864, left a fortune worth $13 million to his various heirs.
Girl/Female
Latin
Sign.
Boy/Male
Swedish Norse
Victorious.
Girl/Female
Swedish American Norse Danish
Victorious.
Female
Scandinavian
Scandinavian form of Old Norse SigrÃðr, SIGRID means "beautiful victory."
Girl/Female
Danish, German, Latin, Scandinavian, Swedish
Sign; Signal; Victory
Girl/Female
Latin American
Woman of Sidon (ancient city).
SIGNED GRAPH
SIGNED GRAPH
Boy/Male
Muslim
Friend, Companion, Beloved, Loving
Boy/Male
French American English
From a French surname and place name meaning 'Open.' Dates back to the eleventh century as both...
Boy/Male
Hindu
Home, Lord of all
Female
English
The origin of the American southern "Dixie" is uncertain; however, Louisiana dollars had the French word dix printed on them, DIXIE means "tenth," and this may have been what inspired the song about "the land of dixies," and later the name itself.
Boy/Male
Arabic, Muslim
Name of a Sahabi who Participated in the Battle of Badr
Boy/Male
Afghan, Arabic, Muslim, Sindhi
Pertinent; Relevant
Boy/Male
Arabic, Muslim
Protector of the Faith
Girl/Female
Irish
The feminine form of Ciaran, from the Irish ciar meaning “dark†and implies “dark hair and brown eyes.†St. Ciara was a distinguished seventh-century figure who established a monastery at Kilkeary in County Tipperary. It was the fourth most popular baby girl name in Ireland in 2003.
Girl/Female
Tamil
Navistha | நாவிஸà¯à®¤à®¾
Youngest
Surname or Lastname
English
English : habitational name from any of several places in Merseyside, Norfolk, Northamptonshire, and Staffordshire called Gayton, or from Gayton le Marsh or Gayton le Wold in Lincolnshire. The Northamptonshire and Staffordshire place names are from an Old English personal name Gǣga + tūn ‘farmstead’; the others are from Old Norse geit ‘goat’ + tún ‘farmstead’.French : diminutive of Gayte, a southern variant of guette ‘watch’, and hence an occupational name for a watchman.
SIGNED GRAPH
SIGNED GRAPH
SIGNED GRAPH
SIGNED GRAPH
SIGNED GRAPH
a.
Noticeable; distinguished from what is ordinary; eminent; remarkable; memorable; as, a signal exploit; a signal service; a signal act of benevolence.
a.
Stamped or marked with a signet.
n.
One who has sinned; especially, one who has sinned without repenting; hence, a persistent and incorrigible transgressor; one condemned by the law of God.
a.
Rigged like a catboat.
n.
A seal; especially, in England, the seal used by the sovereign in sealing private letters and grants that pass by bill under the sign manual; -- called also privy signet.
imp. & p. p.
of Singe
a.
Rigged for temporary service. See Jury, a.
a.
Tined; tinged.
/
or Signalled (imp. & p. p.) of Signal
n.
One employed to singe cloth.
v. i.
To make a sign or signal; to communicate directions or intelligence by signs.
a.
Farsighted and strong-sighted; sharp-sighted.
a.
Having sight, or seeing, in a particular manner; -- used in composition; as, long-sighted, short-sighted, quick-sighted, sharp-sighted, and the like.
v. i.
To act as a sinner.
n.
A token; an indication; a foreshadowing; a sign.
v. t.
To notify by a signals; to make a signal or signals to; as, to signal a fleet to anchor.
n.
One who signs or subscribes his name; as, a memorial with a hundred signers.
imp. & p. p.
of Sign
v. t.
To communicate by signals; as, to signal orders.
n.
One who, or that which, singes.