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Graph in which all neighbors of every vertex have distinct degrees
In graph theory, a highly irregular graph is a graph in which, for every vertex, all neighbors of that vertex have distinct degrees. Irregular graphs were
Highly_irregular_graph
In graph theory, a stepwise irregular graph (or SI graph) is a graph in which the degrees of any two adjacent vertices differ by exactly one. This concept
Stepwise_irregular_graph
American-born mathematician
specializes in graph theory. He is known for his textbooks on introductory graph theory and for the concept of a highly irregular graph. Gary Chartrand
Gary_Chartrand
Graph where each vertex has the same number of neighbors
vertices. Random regular graph Strongly regular graph Moore graph Cage graph Highly irregular graph Chen, Wai-Kai (1997). Graph Theory and its Engineering
Regular_graph
South African mathematician
in graphs,[CS] and on highly irregular graphs in which every vertex has a neighborhood in which all degrees are distinct.[IG] The phrase "highly irregular"
Ortrud_Oellermann
Type of discrete calculus
abstract data with irregular interrelationships. If a finite weighted graph is geometrically embedded in a Euclidean space, i.e., the graph vertices represent
Calculus on finite weighted graphs
Calculus_on_finite_weighted_graphs
A Graph Coarsening Algorithm is a family of metaheuristic algorithms used to reduce the size and complexity of a large graph while preserving its key structural
Graph_Coarsening_Algorithm
Solid with eight equal triangular faces
disphenoid, and an irregular polyhedron with 12 vertices and 20 triangular faces. The octahedral graph is one of only six connected graphs in which the neighborhood
Regular_octahedron
Polyhedron with four faces
shapes and sizes of generated tetrahedra, preventing the formation of highly irregular elements that could compromise simulation results. The iterative LEB
Tetrahedron
Iranian born American mathematician (1928- 2013)
on what it might mean for a graph to be highly irregular, kicking off a line of joint research on highly irregular graphs through which Alavi obtained
Yousef_Alavi
Geospatial and graph component of Oracle Database
Spatial and Graph, formerly Oracle Spatial, is a free option component of the Oracle Database. The spatial features in Oracle Spatial and Graph aid users
Oracle_Spatial_and_Graph
Measure of relative importance of a journal
but for new titles one of the known counts is zero. Annuals and other irregular publications sometimes publish no items in a particular year, affecting
Impact_factor
US charter/scheduled airline hybrid (1944–1978)
Supplemental air carriers, until 1955 known as irregular air carriers, and until 1946 as nonscheduled air carriers or nonskeds, were a type of United
Supplemental_air_carrier
Linear error correcting code
Below is a graph fragment of an example LDPC code using Forney's factor graph notation. In this graph, n variable nodes in the top of the graph are connected
Low-density_parity-check_code
Triangulation method
triangulation of a discrete point set P in general position corresponds to the dual graph of the Voronoi diagram for P. The circumcenters of Delaunay triangles are
Delaunay_triangulation
Ancient form of written Chinese
script was not highly regular or standardized; variant forms of graphs abound, and the size and orientation of graphs is also irregular. A graph when inverted
Oracle_bone_script
Academic field
evolution Erdős–Rényi model Glossary of graph theory Gradient network Higher category theory Immune network theory Irregular warfare Network analyzer Network
Network_science
Operation in mathematical calculus
computes the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally
Integral
Parallel version of breadth-first search algorithm
explore the vertices of a graph layer by layer. It is a basic algorithm in graph theory which can be used as a part of other graph algorithms. For instance
Parallel_breadth-first_search
Writing in a variety of Chinese scripts on ritual bronzes
between the highly pictorial Shang emblem (aka "identificational") characters on bronzes (see "ox" clan insignia below), typical Shang bronze graphs, writing
Chinese_bronze_inscriptions
Natural number
week. 7 is often considered lucky in Western culture and is often seen as highly symbolic. For early Brahmi numerals, 7 was written more or less in one stroke
7
Mountain range in Djibouti
ISBN 978-1-74104-988-6. Retrieved 28 May 2011. "Climate: Goda Mountains - Climate graph, Temperature graph, Climate table". Climate-Data.org. Retrieved 14 November 2014.
Goda_Mountains
Factors influencing the likelihood of a person having children
fertility levels (as some highly religious countries had low fertility rates), secularism did prevent high fertility (as no highly secular country had high
Fertility_factor_(demography)
Online database of integer sequences
motivations, literature links, and more, including the option to generate a graph or play a musical representation of the sequence. The database is searchable
On-Line Encyclopedia of Integer Sequences
On-Line_Encyclopedia_of_Integer_Sequences
Rogue US virtual airline (1949–1957)
doing business as North American Airlines was a "combine", a group of US irregular air carriers and related companies under common control that acted as
North_American_Airlines_Group
Fifth planet from the Sun
astronomers calculated Jupiter's position from the area under a time-velocity graph". Science. 351 (6272): 482–484. Bibcode:2016Sci...351..482O. doi:10.1126/science
Jupiter
Messages to deter human intrusion at nuclear waste repositories in the far future
when, where, who, and how Complex information: Highly detailed written records, tables, figures, graphs, maps and diagrams The Waste Isolation Pilot Plant
Long-term nuclear waste warning messages
Long-term_nuclear_waste_warning_messages
Simple polynomial map exhibiting chaotic behavior
initially utilized by Edward Lorenz in the 1960s to showcase properties of irregular solutions in climate systems. It was popularized in a 1976 paper by the
Logistic_map
particular, a number of algorithms (which became already classical) for testing graph isomorphism were constructed. In the last years of his life, Sergei became
Sergei_Evdokimov
Type of algorithm, produces approximately correct solutions
}(v_{i},v_{g})} to the goal node v g {\displaystyle v_{g}} in a directed graph G {\displaystyle G} containing n {\displaystyle n} total nodes or vertices
Heuristic_(computer_science)
Sandstone monolith in the Northern Territory, Australia
Meteorology. Retrieved 14 May 2016. Yulara Ultraviolet (UV) Index Forecast Graph. Australian Bureau of Meteorology. Retrieved 20 April 2014. "Australian
Uluru
Data visualization technique
Retrieved 2019-01-01. "Heatmap". D3.js Graph Gallery. Retrieved 25 July 2020. "Most basic heatmap in d3.js". D3.js Graph Gallery. Retrieved 25 July 2020. "Heat
Heat_map
Statistical method in data analysis
(V-linkage). The product of in-degree and out-degree on a k-nearest-neighbour graph (graph degree linkage). The increment of some cluster descriptor (i.e., a quantity
Hierarchical_clustering
Interstellar comet in 2025
3I/ATLAS Observations Coordination website 3I/ATLAS Star Chart and Magnitude Graph, by Seiichi Yoshida, updated 25 July 2025 Star Chart, by Gianluca Masi,
3I/ATLAS
Apparent solar time minus mean solar time
equation of time is shown in the upper graph above for a period of slightly more than a year. The lower graph (which covers exactly one calendar year)
Equation_of_time
various other factors, the death tolls of wars are often uncertain and highly debated. For this reason, the death tolls in this article typically provide
List_of_wars_by_death_toll
Method of referencing visual computer data
relationship between the current document and linked document. Webgraph is a graph, formed from web pages as vertices and hyperlinks, as directed edges. The
Hyperlink
1986 nuclear accident in the Soviet Union
publication. Contamination from the Chernobyl accident was scattered irregularly depending on weather conditions, much of it deposited on mountainous
Chernobyl_disaster
Systematic representation of the surface of a sphere or ellipsoid onto a plane
such as asteroids often have irregular shapes. The surfaces of planetary bodies can be mapped even if they are too irregular to be modeled well with a sphere
Map_projection
Covering by shapes without overlaps or gaps
polygon but still having the same arrangement of polygons at every corner. Irregular tessellations can also be made from other shapes such as pentagons, polyominoes
Tessellation
President of South Korea since 2025
Franklin D. Roosevelt. On 10 October 2021, Lee said "We will change the graph of economic growth upward with a strong state-led economic revival policy
Lee_Jae_Myung
Economic theorem
of an economy as a whole. This means that demand curves may take on highly irregular shapes, even if all individual agents in the market are perfectly rational
Sonnenschein–Mantel–Debreu theorem
Sonnenschein–Mantel–Debreu_theorem
Flat-sided three-dimensional shape
purely graph-theoretic characterization of the skeletons of convex polyhedra: it states that the skeleton of every convex polyhedron is a planar graph with
Polyhedron
Class of process mining techniques
diagrams, etc.). The event logs used for discovery could contain noise, irregular information, and inconsistent/incorrect timestamps. Process discovery
Business_process_discovery
Occult language
quite reminiscent of English, including the verb 'to be' which is highly irregular. Laycock reports that the largest number of forms are recorded for
Enochian
Realistic artificially generated media
(July 2017). "Synthesizing Obama: Learning Lip Sync from Audio". ACM Trans. Graph. 36 (4): 95:1–95:13. doi:10.1145/3072959.3073640. S2CID 207586187. Archived
Deepfake
Tabular arrangement of the chemical elements
subshells at similar energies, competition occurs once again with many irregular configurations; this resulted in some dispute about where exactly the
Periodic_table
Seventh planet from the Sun
greater distance from Uranus are the ten known irregular moons. The planet's magnetosphere is highly asymmetric and has many charged particles, which
Uranus
time. graph theory In mathematics, the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this
Glossary_of_computer_science
Infinitely detailed mathematical structure
Similarly, random fractals have been used to describe/create many highly irregular real-world objects, such as coastlines and mountains. A limitation
Fractal
purchases, contracts, prevention of irregular expenses and quality of financial statements were not upheld. Irregular expenditure amounted to R33 million
Crime_in_South_Africa
Conclusion of the human pregnancy
weeks gestation and are sometimes called "false labour", are infrequent, irregular, and involve only mild cramping. Braxton Hicks contractions are the uterine
Childbirth
1812 conflict during the Napoleonic Wars
from overwork and vehicles that could not be repaired broke down. As the graph of Charles Joseph Minard, given below, shows, the Grande Armée incurred
French_invasion_of_Russia
same over a whole series. Manhattan also called the Skyline. It is a bar graph of the runs scored off each over in a one-day game, with dots indicating
Glossary_of_cricket_terms
Amount by which an orbit deviates from a perfect circle
July 2007. Retrieved 10 November 2018. A. Berger & M.F. Loutre (1991). "Graph of the eccentricity of the Earth's orbit". Illinois State Museum (Insolation
Orbital_eccentricity
2003–2011 conflict in Iraq
expected. The Iraqi regime had prepared to fight both a conventional and irregular, asymmetric warfare at the same time, conceding territory when faced with
Iraq_War
Portuguese football club rivalry
three) and now tend to support the city club more exclusively. Data in this graph is from EFS Attendances and since 2009/10 from Liga Portugal. At the beginning
Derby_do_Minho
Capital and largest city of Colombia
June 2019. Retrieved 21 June 2019. "Climate: Bogotá – Climate graph, Temperature graph, Climate table". Climate-Data.org. Archived from the original on
Bogotá
Japanese animator and artist (born 1941)
protests, having developed an interest after seeing photographs in Asahi Graph; by that point, he was too late to participate in the demonstrations. Miyazaki
Hayao_Miyazaki
Sequence of data points over time
mathematics, a time series is a sequence of data points indexed, listed, or graphed in chronological order. Most commonly, a time series consists of observations
Time_series
Financial institution that accepts deposits
U.S. Retrieved November 2, 2018. "Lerner Index in Banking Market, FRED Graph". fred.stlouisfed.org. Retrieved June 15, 2026. Shaffer, Sherrill; Spierdijk
Bank
Mass extinction event about 66 million years ago
insufficient methods for accurate replication and problematic isotopic graphs with irregular data and error bars. A study of fossilized fish bones found at Tanis
Cretaceous–Paleogene extinction event
Cretaceous–Paleogene_extinction_event
Theoretical milestones of child development
grammatically correct. Uses "would" and "could" appropriately. Uses past tense of irregular verbs consistently: "went", "caught", "swam." Uses past-tense inflection
Child_development_stages
City in Greater Cairo, Egypt
October 2013. Retrieved 16 August 2013. "Climate: Giza – Climate graph, Temperature graph, Climate table". Climate-Data.org. Archived from the original on
Giza
Property of a mathematical space
there exist more definitions of fractal dimensions that work for highly irregular sets and attain non-integer positive real values. Every Hilbert space
Dimension
Chancellor of Germany from 2005 to 2021
emerging countries, it cannot continue to be so generous. ... She produces graphs of unit labour costs ... at EU meetings in much the same way that the late
Angela_Merkel
dienanthate, and undecylate, as well as polyestradiol phosphate—for more graphs. Estradiol esters like estradiol valerate and estradiol cypionate can be
Pharmacokinetics_of_estradiol
Logographic writing system
worldwide. According to the philosophy of the Unicode Consortium, each distinct graph is assigned a number in the standard, but specifying its appearance or the
Chinese_characters
composite graphs for modeling interacting networks; modeling and analysis of group behaviors using techniques ranging beyond traditional graph theory; development
Network_Science_CTA
Ringed dwarf planet in the Kuiper belt
distance of the Roche limit. The Q1R ring is not uniform and is strongly irregular around its circumference, being more opaque (and denser) where it is narrow
Quaoar
TR3 Jesse Ramsden (1735–1800) was the British designer and producer of highly accurate sextants, theodolites and other instruments. Piazzi discovered
Meanings of minor-planet names: 8001–9000
Meanings_of_minor-planet_names:_8001–9000
averages. But characterizing climate also means describing rarer and more irregular events, such as violent storms or persistent drought. France is a transcontinental
Climate_of_France
situation during an election when the union rules are silent. If there are irregular occurrences in the affairs of the union, for instance if negligence or
Trade unions in the United Kingdom
Trade_unions_in_the_United_Kingdom
Term for a handmade carpet from Iran
designs, the patterns are carefully drawn to scale in the proper colours on graph paper. The resulting design plan is termed a "cartoon". The weaver weaves
Persian_carpet
Natural internal process that regulates the sleep-wake cycle
disorders such as delayed sleep phase disorder (DSPD), are associated with irregular or pathological functioning of circadian rhythms. Disruption to rhythms
Circadian_rhythm
Astrophysical phenomenon
presence of lines from other elements or the shape of the light curve (a graph of the supernova's apparent magnitude as a function of time). Type I supernovae
Supernova
Eastern Iranian language of Ossetia, in the Caucasus
copula, whose past stem is уыд- wyd-, whereas the present forms are highly irregular and begin in д- d-, ст- st- оr in a vowel (see below). There are also
Ossetian_language
Type of cut used when shaping a diamond
Gemological Institute of America. Retrieved 15 January 2025. Paulsen, Jasper. Graph of "How pavilion angle and girdle thickness affect the best crown angle
Diamond_cut
Incident when a vehicle collides with another object
Mercedes-Personenwagen seltener (in German)". Mercedes-Benz. Archived from the original (Graph of accident share) on 16 February 2008. Retrieved 28 December 2007. Road
Traffic_collision
Lack of economic resources
ineffective schools promote inferior academic performance, including irregular attendance and disruptive or non-compliant classroom behavior. Because
Poverty
Astronomical object that is neither a planet nor a comet
1016/j.pss.2011.08.009. S2CID 56091003. Minor Planet Center Logarithmic graph of asteroid discoveries from 1801-2015 Portals: Stars Spaceflight Outer
Minor_planet
Natural satellite orbiting Earth
(Explanatory Supplement to the Astronomical Ephemeris, 1961, at p.107). See graph in Sun#Life phases. At present, the diameter of the Sun is increasing at
Moon
American socialist political podcast
Retrieved September 6, 2016. "Chapo Trap House: Patreon Earnings + Statistics + Graphs + Rank". Graphtreon. Retrieved September 25, 2023. "Top Patreon Creators"
Chapo_Trap_House
Norms for writing the English language
some of the earliest mass-produced English publications being typeset by highly trained, multilingual printing compositors, who occasionally used a spelling
English_orthography
Designing products to facilitate 3D printing
feature-based CAD tools aren't built with the intention of expressing irregular geometry which is possible for AM. These design methods or tools can be
Design for additive manufacturing
Design_for_additive_manufacturing
1887 investigation of the speed of light
over a period of minutes. The expectation was that the effect would be graphable as a sine wave with two peaks and two troughs per rotation of the device
Michelson–Morley_experiment
Assessment of Chernobyl's impact on Earth since 1986
evenly spread across the surrounding countryside, but rather scattered irregularly, depending on weather conditions. Reports from Soviet and Western scientists
Effects of the Chernobyl disaster
Effects_of_the_Chernobyl_disaster
System to capture, manage, and present geographic data
are connected at junction points, similar to graphs in mathematics and computer science. Just like graphs, networks can have weight and flow assigned to
Geographic_information_system
Science and engineering method
watershed area can then be estimated using a planimeter, by overlaying graph paper and counting grid cells, or the result can be digitized for use with
Watershed_delineation
computer game a NPC can simply look up the position in the game's scene graph. Such cheating can lead to unrealistic behavior and so is not always desirable
Artificial intelligence in video games
Artificial_intelligence_in_video_games
Transport of dissolved species from the highest to the lowest concentration region
be visible under an optical microscope exhibit a rapid and continually irregular motion of particles known as Brownian movement. The theory of the Brownian
Diffusion
Method for producing solid materials from small molecules
sedimentation. But if they are small enough to be colloids, then their irregular motion in suspension can be attributed to the collective bombardment of
Sol–gel_process
Computer simulation with random inputs
of reaction propensities more efficient, a dependency graph is also used. This dependency graph tells which reaction propensities to update after a particular
Stochastic_simulation
Arithmetical function
4!} , so S ( 8 ) = 4 {\displaystyle S(8)=4} . This function has a highly irregular growth rate: it grows linearly on the prime numbers but only grows
Kempner_function
Casualties of conflict from 2003 to 2011
the agreement between the estimates from the IFHS and Burnham et al." A graph in the Lancet article purportedly demonstrating that its conclusions are
Casualties_of_the_Iraq_War
Culturally recognised union between people
Studies Center (Nepo), State University of Campinas "Eurostat – Tables, Graphs and Maps Interface (TGM) table". ec.europa.eu. Archived from the original
Marriage
Cartilaginous tube
found in some long-necked salamanders, and in caecilians. While there are irregular cartilagenous nodules on the amphibian trachea, these do not form the
Trachea
Largest city in Hesse, Germany
2011. "About Frankfurt: History". City of Frankfurt am Main. "Data and graphs for weather & climate in Frankfurt am Main". Climate-Data.org. Retrieved
Frankfurt
Irregular forces in World War II
quickly caught up and were very similar to that of the Polish resistance (a graph is also available here). The numbers of Tito's Yugoslav partisans were roughly
Resistance during World War II
Resistance_during_World_War_II
Feature detection algorithm in computer vision
for verification. Because there is no restriction on the input images, graph search is applied to find connected components of image matches such that
Scale-invariant feature transform
Scale-invariant_feature_transform
HIGHLY IRREGULAR-GRAPH
HIGHLY IRREGULAR-GRAPH
Girl/Female
Arabic, Farsi, Indian
Highly Illuminated; Highly Enlightened Justified
Boy/Male
Hindu, Indian, Tamil
Regular Winner
Surname or Lastname
English (Lancashire)
English (Lancashire) : habitational name from any of the many places in England so called, of which the most likely source for present-day bearers is that near Burnley. The place name is from Old English hÄ“ah ‘high’ + hÄm ‘homestead’.
Surname or Lastname
English (chiefly East Anglia and northern England)
English (chiefly East Anglia and northern England) : nickname for a tall man, from Middle English hegh, hie ‘high’, ‘tall’, Old English hēah (compare Hay 2), or a topographic name for a dweller on a hilltop or high place, from the same word used in a topographical sense. This second use is supported by early forms such as Richard atte High (Sussex 1332).
Boy/Male
Australian, Celtic, Irish
High; Mighty
Girl/Female
Gaelic
Boy/Male
Shakespearean
King Henry IV, Part 1 and 2' An irregular humorist.
Boy/Male
Anglo, British, English
From the Hedged Enclosure
Surname or Lastname
English
English : variant spelling of Higbee.
Girl/Female
Arabic
Praise; Admiration
Surname or Lastname
English
English : variant of Highley.
Girl/Female
German, Swedish
High; Mighty
Girl/Female
German, Swedish
Mighty; High
Surname or Lastname
English
English : habitational name from a place so called in Shropshire, named in Old English with the element lēah ‘wood’, ‘glade’; the Middle English personal name Hugh (see Hugh) was prefixed to this in the 12th century, to indicate ownership.Possibly an altered spelling of German Hügli (see Hugley).
Boy/Male
Hindu, Indian, Traditional
Conduct; Regular Performance of Worship
Boy/Male
Irish Celtic
High and mighty.
Surname or Lastname
English
English : topographic name for someone who lived at the top of a hill or on a piece of raised ground, from Middle English heyt ‘summit’, ‘height’.
Boy/Male
Australian, Celtic, Irish
High; Mighty
Surname or Lastname
English (Devon)
English (Devon) : unexplained. Possibly an irregular variant of Birchall.
Surname or Lastname
English
English : habitational name from any of several places so called, for example one in Shropshire, which was named in Old English as ‘Hugga’s woodland clearing’, from an unattested personal name + lēah ‘wood’, ‘glade’.
HIGHLY IRREGULAR-GRAPH
HIGHLY IRREGULAR-GRAPH
Boy/Male
French, German
Peace
Girl/Female
Hindu
Celestial dancer or An Apsara or shakuntalas mother
Boy/Male
Assamese, Hindu, Indian
First God in the World
Female
English
Anglicized form of Hebrew Qeren, KEREN means "horn (of an animal)." Also a short form of Keren-happuch, meaning "horn of antimony," a black paint used for eye-shadow.
Girl/Female
Indian
Blessed, Thankful, Great or personification of gratitude, Lucky or giver of wealth
Surname or Lastname
English
English : perhaps a variant spelling of Wrench, a nickname from Middle English wrench ‘trick’, ‘artifice’.Probably an altered spelling of German Rensch or Rentsch.
Boy/Male
Indian
Fortunate
Boy/Male
Bengali, Indian
Source
Boy/Male
Latin
Form of Jovan 'Father of the sky.
Boy/Male
Indian, Tamil
Sweet Language
HIGHLY IRREGULAR-GRAPH
HIGHLY IRREGULAR-GRAPH
HIGHLY IRREGULAR-GRAPH
HIGHLY IRREGULAR-GRAPH
HIGHLY IRREGULAR-GRAPH
v. t.
To make irregular; to disorder.
adv.
In an irregular manner.
adv.
In a high manner, or to a high degree; very much; as, highly esteemed.
a.
Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established customary forms; normal; symmetrical; as, a regular verse in poetry; a regular piece of music; a regular verb; regular practice of law or medicine; a regular building.
a.
Thorough; complete; unmitigated; as, a regular humbug.
a.
Governed by rule or rules; steady or uniform in course, practice, or occurence; not subject to unexplained or irrational variation; returning at stated intervals; steadily pursued; orderlly; methodical; as, the regular succession of day and night; regular habits.
imp.
of Hight
a.
Irregular in position; having no regular order; as, scattered leaves.
adv.
With little weight; with little force; as, to tread lightly; to press lightly.
a.
Tightly; nimbly.
p. p.
of Hight
a.
Constituted, selected, or conducted in conformity with established usages, rules, or discipline; duly authorized; permanently organized; as, a regular meeting; a regular physican; a regular nomination; regular troops.
a.
Having all the parts of the same kind alike in size and shape; as, a regular flower; a regular sea urchin.
a.
Highly rectified; very strongly alcoholic; as, high-proof spirits.
a.
Belonging to a monastic order or community; as, regular clergy, in distinction dfrom the secular clergy.
a.
Irregular; disorderly.
a.
Irregular; changeable.
a.
Wild; irregular.
n.
One who is not regular; especially, a soldier not in regular service.
a.
Not regular; not conforming to a law, method, or usage recognized as the general rule; not according to common form; not conformable to nature, to the rules of moral rectitude, or to established principles; not normal; unnatural; immethodical; unsymmetrical; erratic; no straight; not uniform; as, an irregular line; an irregular figure; an irregular verse; an irregular physician; an irregular proceeding; irregular motion; irregular conduct, etc. Cf. Regular.