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Graph that encodes local operations in mathematics
an elementary operation called a flip. Flip graphs are special cases of geometric graphs. Among notable flip graphs, one finds the 1-skeleton of polytopes
Flip_graph
Path in a graph that visits each vertex exactly once
commutator subgroup are Hamiltonian. The flip graph of a convex polygon or equivalently, the rotation graph of binary trees, is Hamiltonian. Any Hamiltonian
Hamiltonian_path
Study of graphs defined by geometric means
classes of graphs including median graphs have related definitions involving metric embeddings (Bandelt & Chepoi 2008). A flip graph is a graph formed from
Geometric_graph_theory
Topics referred to by the same term
Look up Flip or flip in Wiktionary, the free dictionary. Flip, FLIP, or flips may refer to: Flip (nickname), a list of people Lil' Flip (born 1981), American
Flip
Flip distance in triangulations
distance in a flip graph, a graph that has a vertex for each triangulation and an edge for each flip between two triangulations. Flips and flip distances
Flip_distance
Longest distance between two vertices
possible Flip distance § Diameter of the flip graph, connecting pairs of triangulations by local moves Miller, Mirka; Širáň, Jozef (2005), "Moore graphs and
Diameter_(graph_theory)
Triangulation method
cases, as it is conditioned to the connectedness of the underlying flip graph: this graph is connected for two-dimensional sets of points, but may be disconnected
Delaunay_triangulation
Four-dimensional analogue of the cube
Penguin Books. p. 143. Coxeter 1970, p. 18. Pournin, Lionel (2013). "The flip-Graph of the 4-dimensional cube is connected". Discrete & Computational Geometry
Tesseract
Partition of a simple polygon into triangles
polygons of pre-specified shapes. Nonzero-rule Catalan number Planar graph Flip graph Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Schwarzkopf
Polygon_triangulation
Directed graph with no directed cycles
In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it
Directed_acyclic_graph
Largest distance between two points
largest diameter possible for a given group, and the diameter of the flip graph of triangulations of a point set, the minimum number of local moves needed
Diameter_of_a_set
PSPACE-complete. Rotation distance in binary trees and related problems of flip distance in flip graphs. A rotation is an operation that changes the structure of a binary
Reconfiguration
distance in a flip graph, a graph that has a vertex for each triangulation and an edge for each flip between two triangulations. Flips and flip distances
Rotation_distance
Convex polytope of parenthesizations
polytope whose definition allows parentheses to wrap around in cyclic order. Flip graph, a generalisation of the 1-skeleton of the associahedron. Permutohedron
Associahedron
{\displaystyle N} but the isomorphism does not preserve the triangulation. Flip graph Unknotting problem Reidemeister move Triangulation (topology) Pachner
Pachner_moves
On tangency patterns of circles
to match this change, in effect walking in a flip graph of triangulations, until reaching the desired graph of tangencies. Thurston observes that the uniqueness
Circle_packing_theorem
preserving the property that the orientation is strong. Therefore, the flip graph whose vertices correspond to the strong orientations of G, and whose edges
Strong_orientation
Mathematics problem
at any point in the stack and used to flip all pancakes above it. A pancake number is the minimum number of flips required for a given number of pancakes
Pancake_sorting
Pseudolines arranged largely to study arrangements of lines
into any other by a series of triangle flips. In other words, approaching arrangements have a connected flip graph. Each rank-3 oriented matroid is equivalent
Arrangement_of_pseudolines
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
Polytope
permutations, the 1-skeleton of the permutoassociahedron is a flip graph with two different kinds of flips (associativity and transpositions). Permutohedron Associahedron
Permutoassociahedron
Graph with a prism as its skeleton
mathematical field of graph theory, a prism graph is a graph that has one of the prisms as its skeleton. The individual graphs may be named after the
Prism_graph
Polytope associated with combinatorial problems
permutohedron. The graph made up of the vertices and edges of the d {\displaystyle d} -dimensional cyclohedron is the flip graph of the centrally symmetric
Cyclohedron
Hypohamiltonian graph in graph theory
graph is, in graph theory, a hypohamiltonian graph with 16 vertices and 27 edges. It has book thickness 3 and queue number 2. Hypohamiltonian graphs were
Sousselier_graph
Complexity class
Max-Uniform-Graph-Partitioning/Swap has been proven to be PLS-complete via a tight PLS-reduction from Max-Cut/Flip to Max-Uniform-Graph-partitioning/Swap
PLS_(complexity)
Type of graph in graph theory
16-vertex graphs. There exist at least thirteen 18-vertex hypohamiltonian graphs. By applying the flip-flop method of Chvátal (1973) to the Petersen graph and
Hypohamiltonian_graph
Algorithm to multiply matrices
PMC 9534758. PMID 36198780. Kauers, Manuel; Moosbauer, Jakob (2022-12-02). "Flip Graphs for Matrix Multiplication". arXiv:2212.01175 [cs.SC]. Brubaker, Ben (23
Matrix multiplication algorithm
Matrix_multiplication_algorithm
Mexican computer scientist
Combinatorial Topology". Kozlov, Dmitry (2017). "Structure theory of flip graphs with applications to Weak Symmetry Breaking". Journal of Applied and
Sergio_Rajsbaum
Web browser developed by Google
100% growth over last year". June 28, 2012. "Stats Counter US Monthly bar graph". June 2013. Retrieved July 25, 2013. Fox, Zoe (August 14, 2013). "43% of
Google_Chrome
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Device performing a Boolean function
rising or falling edge of the clock are called edge-triggered "flip-flops". Formally, a flip-flop is called a bistable circuit, because it has two stable
Logic_gate
Practice of throwing a coin in the air to choose between two alternatives
football teams use a three-way coin flip. A legacy of that particular 1988 coin flip was to reduce the use of coin flips to break ties in Texas sports, replacing
Coin_flipping
Email service developed by Google
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Inbox_by_Gmail
List of Android operating system versions
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Android_version_history
Chatbot developed by Google
July 2025, and subsequently expanded to models including the Z Fold 7 and Z Flip 7, where it became part of the Galaxy AI suite. In February 2025, Google
Google_Gemini
Graph of the frequency response of a control system
In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude
Bode_plot
questions he posed for others to solve. The topics of his research included flip graphs of polygon triangulations, Voronoi diagrams, visibility, simple polygons
Ferran_Hurtado
able to flip the counties of Alexander, Fulton, Jackson, Knox, and Winnebago, which Pritzker had previously won, while Pritzker managed to flip McLean
2022 Illinois gubernatorial election
2022_Illinois_gubernatorial_election
was on the ballot in 29 states[which?] and Washington, D.C. The following graph depicts the standing of each candidate in the poll aggregators from July
1980 United States presidential election
1980_United_States_presidential_election
Hacker technique
Drawings Drive Duo E Earth Etherpad Expeditions Express F Family Link Fast Flip FeedBurner fflick Fi Wireless Finance Files Find Hub Fit Flights Flu Trends
Google_hacking
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
Graph representing an implementation of the logical functionality of a network
An and-inverter graph (AIG) is a directed, acyclic graph that represents a structural implementation of the logical functionality of a circuit or network
And-inverter_graph
Version control system by Google
Drawings Drive Duo E Earth Etherpad Expeditions Express F Family Link Fast Flip FeedBurner fflick Fi Wireless Finance Files Find Hub Fit Flights Flu Trends
Piper_(source_control_system)
Process forming a path from many random steps
moved one unit to the left. After five flips, the marker could now be on -5, -3, -1, 1, 3, 5. With five flips, three heads and two tails, in any order
Random_walk
Probability saying
random graph theory, the statement " G ( n , p n ) {\displaystyle G(n,p_{n})} is connected" (where G ( n , p ) {\displaystyle G(n,p)} denotes the graphs on
Almost_surely
Digital rights management technology
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Widevine
Enterprise messaging software developed by Google
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Google_Chat
American technology executive
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Rick_Osterloh
Republican—+15−20% Republican—+20−25% Republican—+25−30% County flips Legend Counties that flipped from Republican to Democratic Alpine (largest municipality:
2010 California gubernatorial election
2010_California_gubernatorial_election
Number of bits that differ between two strings
This means that if one bit is flipped or two bits are flipped, the error can be detected. If three bits are flipped, then "000" becomes "111" and the
Hamming_distance
Process where information about current status is used to influence future status
timing signal. Flip-flops can be either simple (transparent or opaque) or clocked (synchronous or edge-triggered). Although the term flip-flop has historically
Feedback
American baseball player (born 1974)
eventually won the game, as well as the series. The play, known as "The Flip", was later voted seventh in Baseball Weekly's 10 Most Amazing Plays of all
Derek_Jeter
Conditional independence of exchangeable observations
with 9/10 probability. Flip a fair coin once to decide which biased coin to use for all flips that are recorded. Here "heads" at flip i means Xi=1. The independence
De_Finetti's_theorem
Angelides won among African Americans (70%–27%) and Latinos (56%–39%). Bar graph of statewide results Results by county The period for candidate nominations
2006 California gubernatorial election
2006_California_gubernatorial_election
Automated methods for the creation of mazes
between them. This predetermined arrangement can be considered as a connected graph with the edges representing possible wall sites and the nodes representing
Maze_generation_algorithm
election, and one of three that voted for Biden by double-digits. Moore flipped six counties Hogan won in 2018, and his electoral strength largely came
2022 Maryland gubernatorial election
2022_Maryland_gubernatorial_election
Carolina Araujo, Brazilian algebraic geometer Gabriela Araujo-Pardo, Mexican graph theorist, president of Mexican Mathematical Society Maria Angela Ardinghelli
List_of_women_in_mathematics
Research division of Google
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Google_Research
Atlass of US Presidential Elections 2000 Presidential General Election Data Graphs – Arizona by County "Arizona Election Results". The New York Times. November
1964 United States presidential election in Arizona
1964_United_States_presidential_election_in_Arizona
Quantum variations of random walks
and random graphs. The evolution of a quantum walk in discrete time is specified by the product of two unitary operators: (1) a "coin flip" operator and
Quantum_walk
Michels also flipped the county of Kenosha. One exception to the trend toward Republicans in rural areas was Door County, which flipped to Evers after
2022 Wisconsin gubernatorial election
2022_Wisconsin_gubernatorial_election
learners and concepts is through a bipartite graph. Directed graph of learners and concepts, where a graph that includes both learner and concept nodes
Social_learning_network
Representation of a graph's triconnected components
In graph theory, a branch of mathematics, the triconnected components of a biconnected graph are a system of smaller graphs that describe all of the 2-vertex
SPQR_tree
The Wiener–Araya graph is, in graph theory, a graph on 42 vertices with 67 edges. It is hypohamiltonian, which means that it does not itself have a Hamiltonian
Wiener–Araya_graph
Shape bounded by non-intersecting line segments
sets, constructive solid geometry formulas for polygons, and visibility graphs of polygons. A simple polygon is a closed curve in the Euclidean plane consisting
Simple_polygon
Scripting platform developed by Google
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Google_Apps_Script
American online content management system
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Blogger_(service)
Mobile advertising company
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AdMob
Pictorial representation of the behavior of subatomic particles
device of covariant perturbation theory, the graphs were called Feynman–Dyson diagrams or Dyson graphs, because the path integral was unfamiliar when
Feynman_diagram
Computer program for the Boolean satisfiability problem
parallel local search algorithm for SAT solving is trying multiple variable flips concurrently on different processing units. Another is to apply the aforementioned
SAT_solver
Search engine link-analysis algorithm
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Hilltop_algorithm
Open source software suite by Google
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OR-Tools
Pollution around Earth by defunct artificial objects
2010 Beijing Orbital Debris Mitigation Workshop, 18–19 October 2010, see graph p. 4. Archived 9 March 2012 at the Wayback Machine. Brown, M. (2012). Orbital
Space_debris
Video-sharing platform
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YouTube
2022, this is the most recent midterm in which none of the open seats flipped parties. Following the elections, no party held a majority of seats for
2006 United States Senate elections
2006_United_States_Senate_elections
Larrick Kelly Rosberg From Secretary of State of Nebraska Counties that flipped from Republican to Democratic Lancaster (largest city: Lincoln) Saline
2008 United States Senate election in Nebraska
2008_United_States_Senate_election_in_Nebraska
Proving validity without revealing other data
large graph G. Victor knows G but not the cycle (e.g., Peggy has generated G and revealed it to him.) Finding a Hamiltonian cycle given a large graph is
Zero-knowledge_proof
Secrets 2010 Illinois Senate General Election: All Head-to-Head Matchups graph of multiple polls from Pollster.com Election 2010: Illinois Senate from
2010 United States Senate elections in Illinois
2010_United_States_Senate_elections_in_Illinois
High-energy particle, mainly originating outside the Solar System
another example is "incorrect handling of the physical data" resulting in graphs that do not show the correlations they claim to show. Despite Svensmark's
Cosmic_ray
Image recognition tool developed by Google
Galaxy S25, and foldable models such as the Galaxy Z Fold 6 and Galaxy Z Flip 6. Google officially launched Google Lens on October 4, 2017, with app previews
Google_Lens
General Election: Dan Maes (R) vs John Hickenlooper (D) vs Tom Tancredo (i) graph of multiple polls from Pollster.com Election 2010: Colorado Governor from
2010 Colorado gubernatorial election
2010_Colorado_gubernatorial_election
Sailing at the Olympics
Graph showing the daily standings in the 5.5 Metre during the 1952 Summer Olympics
Sailing at the 1952 Summer Olympics – 5.5 Metre
Sailing_at_the_1952_Summer_Olympics_–_5.5_Metre
Problem in graph theory
In a graph, a maximum cut is a cut whose size is at least the size of any other cut. That is, it is a partition of the graph's vertices into two complementary
Maximum_cut
Discontinued web statistics analysis program
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Urchin_(software)
Figure formed by knights moves on a grid
be interpreted as a connected subset of the vertices of a knight's graph, a graph formed by connecting pairs of lattice squares that are a knight's move
Polyknight
Calculator product line by Hewlett-Packard
Product Year Description HP 9g 2003 Graphing calculator designed by Kinpo Electronics, Inc. HP 9s 2002 Scientific calculator designed by Kinpo Electronics
HP_calculators
American baseball player (born 1984)
December 7, 2018. "Kyle Kendrick – Statistics – Pitching". FanGraphs Baseball. FanGraphs. Archived from the original on March 6, 2014. Retrieved May 10
Kyle_Kendrick
Reverse-engineering platform developed by Vector 35 Inc
disassemble a binary file and visualize the disassembly in both linear and graph-based views. The software performs automated, in-depth code analysis, generating
Binary_Ninja
paradoxes in combinatorial mathematics 1963 Sep How to solve puzzles by graphing the rebounds of a bouncing ball 1963 Oct About two new and two old mathematical
List of Martin Gardner Mathematical Games columns
List_of_Martin_Gardner_Mathematical_Games_columns
Application development platform
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Actions_on_Google
Software framework for real-time collaborative editing online
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Google_Wave
Mathematical model of ferromagnetism in statistical mechanics
that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice (where the local structure repeats periodically in all
Ising_model
Pendulum with another pendulum attached to its end
either pendulum to flip. Outside this region, the pendulum can flip, but it is a complex question to determine when it will flip. Similar behavior is
Double_pendulum
Price comparison website
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Like.com
partisan gerrymander, and court-drawn maps issued in their place. Democrats flipped the redrawn 13th district from Republican control, and won the newly created
2022 United States House of Representatives elections in North Carolina
2022_United_States_House_of_Representatives_elections_in_North_Carolina
race in North Dakota where any candidate won every county. Counties that flipped from Democratic to Republican All 53 "2010 North Dakota Senate: Hoeven
2010 United States Senate election in North Dakota
2010_United_States_Senate_election_in_North_Dakota
Complexity class of problems
problems that are considered good candidates for being NP-intermediate are the graph isomorphism problem, and decision versions of factoring and the discrete
NP-intermediate
@epicflipzandkickz EpicFlipzAndKickz Reel of three children doing a bottle flip [8] 44.6 November 24, 2025 9 @cristiano Cristiano Ronaldo Lionel Messi and
List of most-liked Instagram posts
List_of_most-liked_Instagram_posts
Democratic — +10−12.5% Democratic — +12.5−15% Democratic — >15% County flips Legend Hassan won both congressional districts. 2022 United States Senate
2022 United States Senate election in New Hampshire
2022_United_States_Senate_election_in_New_Hampshire
Model of web browser usage
The random surfing model is a graph model which describes the probability of a random user visiting a web page. The model attempts to predict the chance
Random_surfing_model
FLIP GRAPH
FLIP GRAPH
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Gaelic Irish
Son of the red haired one.
Boy/Male
Greek
Lover of horses.
Boy/Male
Australian, British, Czechoslovakian, Danish, Dutch, English, French, German, Greek, Polish, Russian, Spanish, Swedish
Russian Form of Philip; Horse Lover; Friend of Horses
Surname or Lastname
English
English : variant spelling of Gravely.Possibly also a variant spelling of Swiss German Gräfli (see Gravely).
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Biblical
Rabbit, wild rat, their lip, their brink.
Boy/Male
Russian Swedish
loves horses'.
Surname or Lastname
German (also Gräff), Dutch, and Jewish (Ashkenazic)
German (also Gräff), Dutch, and Jewish (Ashkenazic) : variant of Graf.English : metonymic occupational name for a clerk or scribe, from Anglo-Norman French grafe ‘quill’, ‘pen’ (a derivative of grafer ‘to write’, Late Latin grafare, from Greek graphein).
Female
Serbian
(Филипа) Feminine form of Serbian Filip, FILIPA means "lover of horses."
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Male
Serbian
(Филип) Serbian form of Greek Philippos, FILIP means "lover of horses."
Biblical
Shaphan, rabbit; wild rat; their lip; their brink
Surname or Lastname
English
English : of uncertain derivation; possibly a metonymic occupational name for a dealer in old clothes, from a derivative of Old French frepe ‘rag’, from frip(i)er ‘to tear to rags’.
Boy/Male
Spanish American Italian Latin
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Biblical
Rabbit, wild rat, their lip, their brink.
FLIP GRAPH
FLIP GRAPH
Female
African
I am grave, or, I speak gravely.
Girl/Female
Australian, French
Cheerful; Glad; Similar to Hilary
Boy/Male
Australian, Dutch, German, Greek
Christ Bearer
Girl/Female
Indian, Punjabi, Sikh
Modest; Humble
Boy/Male
Tamil
Fragrant one, Sweet scented, King, Star
Girl/Female
Hindu, Indian
Wife of King Dasharatha
Boy/Male
Indian, Sanskrit
Causing Delight
Girl/Female
Hindu
Strength and courage
Boy/Male
Tamil
Boy/Male
Muslim
Web, Cobweb, Spider web
FLIP GRAPH
FLIP GRAPH
FLIP GRAPH
FLIP GRAPH
FLIP GRAPH
n.
Having a tendency to flop or flap; as, a floppy hat brim.
v. t.
To cut off; as with shears or scissors; as, to clip the hair; to clip coin.
n.
To move, as something broad and flaplike; as, to flap the wings; to let fall, as the brim of a hat.
v. t.
To clip; to trim.
p. pr. & vb. n.
of Flip
n.
An escape; a secret or unexpected desertion; as, to give one the slip.
v. i.
To fall and hang like a flap, as the brim of a hat, or other broad thing.
v. t.
To toss or fillip; as, to flip up a cent.
n.
The slip or sheath of a sword, and the like.
n.
The act of slipping; as, a slip on the ice.
imp. & p. p.
of Flip
n.
A blow or stroke with the hand; as, he hit him a clip.
v. t.
To cut slips from; to cut; to take off; to make a slip or slips of; as, to slip a piece of cloth or paper.
n.
A twig separated from the main stock; a cutting; a scion; hence, a descendant; as, a slip from a vine.
v. t.
To clap or strike, as a bird its wings, a fish its tail, etc.; to flap.
n.
To beat with a flap; to strike.
n.
An opening or space for vessels to lie in, between wharves or in a dock; as, Peck slip.
n.
A slender piece; a strip; as, a slip of paper.
n.
An outside covering or case; as, a pillow slip.
n.
A fielder stationed on the off side and to the rear of the batsman. There are usually two of them, called respectively short slip, and long slip.