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Regular graph with 70 nodes and 105 edges
field of graph theory, the Harries graph or Harries (3-10)-cage is a 3-regular, undirected graph with 70 vertices and 105 edges. The Harries graph has chromatic
Harries_graph
Regular graph with fewest possible nodes for its girth
10-cage, the Harries graph and the Harries–Wong graph. But there is only one (3, 11)-cage: the Balaban 11-cage (with 112 vertices). A 1-regular graph has no
Cage_(graph_theory)
Length of a shortest cycle contained in the graph
10-cage, the Harries graph and the Harries–Wong graph. The Petersen graph has a girth of 5 The Heawood graph has a girth of 6 The McGee graph has a girth
Girth_(graph_theory)
mathematical field of graph theory, the Harries–Wong graph is a 3-regular undirected graph with 70 vertices and 105 edges. The Harries–Wong graph has chromatic
Harries–Wong_graph
Cubic graph with 70 nodes and 105 edges
other distinct (3,10)-cages, the Harries graph and the Harries–Wong graph. The Harries–Wong graph and Harries graph are also cospectral. The Balaban 10-cage
Balaban_10-cage
Franklin graph Frucht graph Goldner–Harary graph Golomb graph Grötzsch graph Harries graph Harries–Wong graph Herschel graph Hoffman graph Hofman Graph H(12
List_of_graphs
Surname list
Harries is a Welsh surname. For the meaning and origins of the name refer to Harris (surname). Notable people with the surname include: Andy Harries (born
Harries
the graph is planar and F indicates that the graph is not planar. Wikimedia Commons has media related to Graphs by number of vertices. See also Graph theory
List of graphs by edges and vertices
List_of_graphs_by_edges_and_vertices
Representation of cubic graphs
In the mathematical field of graph theory, LCF notation or LCF code is a notation devised by Joshua Lederberg, and extended by H. S. M. Coxeter and Robert
LCF_notation
Undirected graph with 30 vertices and 75 edges
being the Foster cage, the Meringer graph, and the Robertson–Wegner graph. Like the unrelated Harries–Wong graph, it is named after Pak-Ken Wong. It has
Wong_graph
Interview of the Duke and Duchess of Sussex by Oprah Winfrey
Oprah with Meghan and Harry is a 2021 television special hosted by American media personality Oprah Winfrey, that featured an interview between Winfrey
Oprah_with_Meghan_and_Harry
Maximal subgraph whose vertices can reach each other
In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph
Component_(graph_theory)
Topological index of a molecule
In chemical graph theory, the Wiener index (also Wiener number) introduced by Harry Wiener, is a topological index of a molecule, defined as the sum of
Wiener_index
Branch of mathematical chemistry
pioneers of chemical graph theory are Alexandru Balaban, Ante Graovac, Iván Gutman, Haruo Hosoya, Milan Randić and Nenad Trinajstić (also Harry Wiener and others)
Chemical_graph_theory
Intersection graph of unit disks in the plane
geometric graph theory, a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. That is, it is a graph with one vertex
Unit_disk_graph
Topological index of a molecule used in biochemistry
generalizes the concept of the Wiener index introduced by Harry Wiener. The Szeged index of a connected graph G is defined as S z ( G ) = ∑ e ∈ E ( G ) n 1 ( e
Szeged_index
American baseball player (born 2003)
(February 26, 2023). "Sunday Notes: Born To Brits, Harry Ford Could Be MLB's Next Great Black Catcher". FanGraphs. Retrieved November 17, 2025. "Great Britain
Harry_Ford_(baseball)
vertices" in a network. Given a connected, undirected graph and a set of query vertices in a graph, the minimum Wiener connector is an induced subgraph
Wiener_connector
Edges that hit all cycles in a graph
In graph theory and graph algorithms, a feedback arc set or feedback edge set in a directed graph is a subset of the edges of the graph that contains at
Feedback_arc_set
American singer (born 1941)
"Disney Girls") and "I Only Have Eyes for You" (a 1934 song written by Harry Warren), which is noted as Garfunkel's first UK number one. In 1976, Garfunkel
Art_Garfunkel
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
American musical duo
and Garfunkel assumed the name Tom & Jerry; Garfunkel named himself Tom Graph, a reference to his interest in mathematics, and Simon named himself Jerry
Simon_&_Garfunkel
Proposition that visual inscriptions are central to scientific practice
technology studies (STS), the graphism thesis is a proposition advanced by Bruno Latour that visual inscriptions—especially graphs, diagrams, and other visual
Graphism_thesis
Artificial intelligence researcher (born 1940)
artificial intelligence and computer design, and the inventor of conceptual graphs. Sowa received a BS in mathematics from Massachusetts Institute of Technology
John_F._Sowa
Semantic search engine by Facebook
Facebook Graph Search was a semantic search engine that Facebook introduced in March 2013. It was designed to give answers to user natural language queries
Facebook_Graph_Search
A symmetric Turing machine is a Turing machine that has a configuration graph that is undirected (that is, configuration i yields configuration j if and
Symmetric_Turing_machine
1997 film by Gus Van Sant
Lambeau on the blackboard. The problem has to do with intermediate-level graph theory, but Lambeau describes it as an advanced "Fourier system". To answer
Good_Will_Hunting
Kiley (2014-09-04). "Scouting Explained: The 20-80 Scouting Scale". FanGraphs. Retrieved 2025-07-14. Dickson, Paul (2009). The Dickson Baseball Dictionary
Glossary_of_baseball_terms
determining whether there exists a path between two vertices in an undirected graph, otherwise described as the problem of determining whether two vertices
SL_(complexity)
Non-orientable surface with one edge
of these six regions form Tietze's graph, which is a dual graph on this surface for the six-vertex complete graph but cannot be drawn without crossings
Möbius_strip
Government system where political power lies with the people
1177/0010414011405461. ISSN 0010-4140. Retrieved 18 March 2026. "Country Graph". V-Dem Institute. March 2026. Archived from the original on 1 March 2026
Democracy
Mathematical theory on behavior of connected clusters in a random graph
bottom? Similarly, one can ask, given a connected graph at what fraction 1 – p of failures the graph will become disconnected (no large component). The
Percolation_theory
the concept of the Wiener index, introduced by Harry Wiener. The hyper-Wiener index of a connected graph G is defined by W W ( G ) = 1 2 ∑ u , v ∈ V (
Hyper-Wiener_index
American mathematician (1931–2019)
notably on random walks on groups and graphs, random matrices, branching processes, and percolation theory. Harry Kesten was born in Duisburg, Germany
Harry_Kesten
Economic Data (FRED) database contains the total nonfarm employment level. A graph with a simple download of data on jobs by month since the late 1930s is
Jobs created during U.S. presidential terms
Jobs_created_during_U.S._presidential_terms
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
American multinational technology company
Palestinians'". Al Jazeera. September 1, 2022. Retrieved September 11, 2022. Davies, Harry; Abraham, Yuval (October 29, 2025). "Revealed: Israel demanded Google and
Unsolved problem on graph query complexity
a graph property is a property of a graph that is independent of labeling. More formally, a graph property is a mapping from the class of all graphs to
Aanderaa–Karp–Rosenberg conjecture
Aanderaa–Karp–Rosenberg_conjecture
Coronet Films; the Chudnovsky brothers; fractals come from plotting on a graph imaginary numbers against real numbers and have self-similarity, and Ian
List_of_Equinox_episodes
Social networking service owned by Meta Platforms
that "Facebook was surprised we were able to suck out the whole social graph, but they didn't stop us once they realised that was what we were doing"
Degrees of separation from Paul Erdős
researchers, using the Erdős number as a proxy. For example, Erdős collaboration graphs can tell us how authors cluster, how the number of co-authors per paper
Erdős_number
1983 painting by Salvador Dalí
taken directly from Thom's four-dimensional graph of the same title, combined with a second catastrophe graph, the s-curve that Thom dubbed, 'the cusp'
The_Swallow's_Tail
Coordinate system using perpendicular axes
calculus, group theory and more. A familiar example is the concept of the graph of a function. Cartesian coordinates are also essential tools for most applied
Cartesian_coordinate_system
Varying application boundaries
Mineau et al. (eds.), Conceptual graphs for knowledge representation. Berlin: Springer, 1993. Tru Hoang Cao, Conceptual graphs and fuzzy logic. Berlin: Springer
Fuzzy_concept
Climatic cooling after the Medieval Warm Period (16th–19th centuries)
April 2007 at the Wayback Machine (It is not easy to see an LIA in the graphs.) Tyson, P. D.; Karlen, W.; Holmgren, K.; Heiss, G. A. (2000). "The Little
Little_Ice_Age
Yasyazaru in Baki the Grappler, Trailmon in Digimon Frontier, Nishiya in Speed Grapher, Taiin in Code Geass), dies at age 57. November 13: Dan Hennessey, Canadian
2024_in_animation
Email service provided by Google
the original on March 23, 2017. Retrieved October 27, 2018. McCracken, Harry (April 1, 2014). "How Gmail Happened: The Inside Story of Its Launch 10
Gmail
American baseball player (born 1996)
Miner. Retrieved August 24, 2024. "Tarik Skubal - Stats - Pitching". FanGraphs Baseball. Retrieved October 7, 2024. Eddy, Dave (February 13, 2019). "5
Tarik_Skubal
Nonlinear two-terminal fundamental circuit element
{\displaystyle \Omega ^{2}=\Omega } , defined in terms of the cycle matrix of the graph. The equation provides a concise mathematical description of the interactions
Memristor
Topics referred to by the same term
the value of estimated gross profits k-factor (graph theory), a spanning k-regular subgraph in graph theory K-factor, the circular segment of earth profile
K-factor
Historical approval ratings of the US president
public figures. Gallup Poll graphs of approval ratings for former presidents of the United States Franklin D. Roosevelt Harry S. Truman Dwight D. Eisenhower
United States presidential approval rating
United_States_presidential_approval_rating
actor (Scarface, Carlito's Way, Punchline). E. Sampathkumar, 88, Indian graph theorist, lung infection. Annick de Souzenelle, 101, French writer. Talos
Deaths_in_August_2024
Ability: The American Presidents. Dorling Kindersly Publishing. Enten, Harry (December 26, 2022). "The most underdiscussed fact of the 2022 election:
List of United States presidential elections by popular vote margin
List_of_United_States_presidential_elections_by_popular_vote_margin
game Acyclic pebble game One-player pebble game Token on acyclic directed graph games: Quantified boolean formulas First-order logic of equality Provability
List of PSPACE-complete problems
List_of_PSPACE-complete_problems
Visualization technique for multivariate data
chart, lattice chart, grid chart, or panel chart) is a series of similar graphs or charts using the same scale and axes, allowing them to be easily compared
Small_multiple
Swiss watch designer and manufacturer
patrols of prison guards or time the 76 ill-fated escapees through tunnel 'Harry' on 24 March 1944. Eventually, after the war, Nutting was sent an invoice
Rolex
1979 classic textbook on computational complexity theory
are: Graph isomorphism This problem is known to be in NP, but it is unknown if it is NP-complete. Subgraph homeomorphism (for a fixed graph H) Graph genus
Computers_and_Intractability
Prime Minister of New Zealand from 2017 to 2023
from the original on 24 March 2021. Retrieved 1 April 2021. "New data, graph highlight record drop in migration, border crossings in wake of COVID-19"
Jacinda_Ardern
Ongoing armed conflict in Southeast Asia
while the United Nations says at least 3.6 million have been displaced. "Graphs of arrest and death data as of December 31, 2024 collected and compiled
Myanmar civil war (2021–present)
Myanmar_civil_war_(2021–present)
varied since the 2024 United Kingdom general election, with the end of the graph on the right reflecting when the next general election can last be held
Political party affiliation in the United Kingdom
Political_party_affiliation_in_the_United_Kingdom
Process where information about current status is used to influence future status
the angular frequency ω in radians per second. It is often displayed as a graph with the horizontal axis frequency ω and the vertical axis gain. In amplifiers
Feedback
with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Goodness in Justice League, Mr. Dickenson in Beyblade, Kamiya in Speed Grapher, Roddy MacStew in Freakazoid!, Santa Claus in Space Goofs, Ego the Living
2023_in_animation
Mediterranean island country
the original on 2 April 2021. Retrieved 16 May 2007. "Eurostat – Tables, Graphs and Maps Interface (TGM) table". Europa (web portal). Archived from the
Malta
Web search engine developed by Microsoft
announced its knowledge and action API to correspond with Google's Knowledge graph with 1 billion instances and 20 billion related facts. The idea for a prediction
Microsoft_Bing
American businessman (born 1971)
from the original on June 12, 2018. Retrieved August 3, 2012. McCracken, Harry (April 18, 2012). "The 100 Most Influential People in the World". Time.
Marc_Andreessen
2001–2018 Leading causes of death for females, 2001–2018 Health issues in graphs UK obesity rates, 1990–2022 The UK smoking rate from 1974 to 2020 The percentage
Demographics of the United Kingdom
Demographics_of_the_United_Kingdom
Arboreal herbivorous marsupial native to Australia
Phascolarctos cinereus iNaturalist crowdsourced koala sighting photos (mapped, graphed) Koala Science Community Archived 5 May 2020 at the Wayback Machine "Koala
Koala
Mathematical model of computation
input: The turnstile state machine can also be represented by a directed graph called a state diagram (above). Each state is represented by a node (circle)
Finite-state_machine
Country in northwestern Europe
archived from the original on 5 July 2019, retrieved 10 December 2019 Tables, Graphs and Maps Interface (TGM) table. Eurostat (26 February 2013). Retrieved 12
United_Kingdom
Performing order of mathematical operations
2019-08-01. "Implied Multiplication Versus Explicit Multiplication on TI Graphing Calculators". Texas Instruments. 2011. Retrieved 2025-07-22. Announcing
Order_of_operations
American businessman and programmer (born 1984)
services Facebook Features Bluetooth Beacon Dating Feed EdgeRank Reels Gaming Graph Search Instant Articles Like button Live Lookalike audience Onion address
Mark_Zuckerberg
"Graph Search Now Includes Posts and Status Updates". Facebook. September 20, 2013. Retrieved January 21, 2014. "Facebook Starts Rollout Of Graph Search
History_of_Facebook
American right-wing populist political ideology
from the original on March 20, 2026. ● Raw data presented at: "Country Graph". V-Dem Institute. March 2026. Archived from the original on March 1, 2026
Trumpism
Election of Australia's 48th parliament
Retrieved 24 August 2025. Green, Antony (30 May 2025). "FED2025 – Four Graphs on Labor's Landslide Victory". Antony Green's Election Blog. Archived from
2025 Australian federal election
2025_Australian_federal_election
Prussian military theorist (1780–1831)
argued that war could not be quantified or reduced to mapwork, geometry, and graphs. Clausewitz had many aphorisms, of which one of the most famous is, "War
Carl_von_Clausewitz
American baseball player (born 2003)
"Harry Ford, Cole Young make Triple-A debuts in Tacoma | Mariners extra". The Seattle Times. Retrieved March 31, 2025. "The Board (2025)". FanGraphs Baseball
Cole_Young
2017. See also detailed 2016 sales and cumulative global sales in the two graphs. "Best-selling China-made EVs in 2016". China Auto Web. 19 January 2017
History_of_plug-in_hybrids
Algorithm for modelling sequential data
behavior of transformer architectures over long inputs. The standard attention graph is either all-to-all or causal, both of which scales as O ( N 2 ) {\displaystyle
Transformer_(deep_learning)
International airport near Dublin, Ireland
Niall Montgomery, Daithí Hanley, Charles Aliaga Kelly, Dermot O'Toole and Harry Robson. The terminal building opened in early 1941, with its design heavily
Dublin_Airport
Laudon, James; Ho, Richard; Carpenter, Roger; Dean, Jeff (June 2021). "A graph placement methodology for fast chip design". Nature. 594 (7862): 207–212
2021_in_science
Film by Robert Eggers
time-consuming. Blaschke recalled, "I sketched a desired spectrograph on graph paper, indicating a complete elimination of all light beyond 570 nanometers
The_Lighthouse_(2019_film)
where each clause is a disjunction of literals. connected A property of a graph in which there is a path between any two vertices, or a property of a topological
Glossary_of_logic
Geographical and cultural region
development, established by the Nordic Council of Ministers. Includes maps and graphs Scandinavia House, the Nordic Center in New York, run by the American-Scandinavian
Nordic_countries
Welsh actress (born 1969)
but she was later appreciated for her versatility. Zeta-Jones's career graph and marriage to Douglas have been a subject of satire. A 2006 episode of
Catherine_Zeta-Jones
"MLB's Winning and Losing Efforts to Conquer TV, Part I: The Strike". Fan Graphs. Jim McConville (November 6, 1995). "MLB sews up deal with Fox, NBC. (Major
History of Major League Baseball on NBC
History_of_Major_League_Baseball_on_NBC
industrialization, 1810s-1840s. By the late-1800s, wood ("biomass" in the graphs) began to decline as the nation's energy demands soared and forests near
Environmental history of the United States
Environmental_history_of_the_United_States
Maximum frequency of non-aliased component upon sampling
matter what function we choose to change the amplitude vs frequency, the graph will exhibit symmetry between 0 and fs. This symmetry is commonly referred
Nyquist_frequency
Branch of science about the natural world and its life forms.
An oscillating electric dipole can be graphed along x-z coordinates to the behavior of its radiation. Its mathematical descriptions are standard problems
Natural_science
City in Kaliningrad Oblast, Russia
of the Seven Bridges of Königsberg was a seminal work in the fields of graph theory and topology. Only two of the structures from his era survive. In
Kaliningrad
Visual presentation on some surface
graphics. Examples are photographs, drawings, line art, mathematical graphs, line graphs, charts, diagrams, typography, numbers, symbols, geometric designs
Graphics
Continent
Archived from the original on 26 September 2017. Retrieved 26 September 2017. Harry, Njideka U. (11 September 2013). "African Youth, Innovation and the Changing
Africa
"MLB's Winning and Losing Efforts to Conquer TV, Part I: The Strike". Fan Graphs. Nidetz, Steve (October 17, 1989). "Forever Away' Is Here For Michaels"
History of Major League Baseball on ABC
History_of_Major_League_Baseball_on_ABC
(19 June 2012). "The Economic History of the Last 2,000 Years in 1 Little Graph". The Atlantic. Archived from the original on 24 September 2020. Retrieved
Economy_of_China
Extension of the factorial function
According to Michael Berry, "the publication in J&E of a three-dimensional graph showing the poles of the gamma function in the complex plane acquired an
Gamma_function
importance of discrete concepts and the expansion of combinatorics including graph theory. The speed and data processing abilities of computers also enabled
20th_century_in_science
Financial-economic agreement reached in 1944
U.S. opposed Keynes' plan, and a senior official at the U.S. Treasury, Harry Dexter White, rejected Keynes' proposals, in favor of an International Monetary
Bretton_Woods_system
office by means other than election is tied between Millard Fillmore and Harry S. Truman (both were 5 ft 9 in or 175 cm). The tallest unsuccessful presidential
Heights of presidents and presidential candidates of the United States
Heights_of_presidents_and_presidential_candidates_of_the_United_States
Telecommunications device
phrases for voice recording Index of telephone-related articles Jipp curve – Graph that plots density of telephones against GDP List of telephone operating
Telephone
respectively, by the People's Party at its national convention. The following graph depicts the standing of each candidate in the poll aggregators from February
1972 United States presidential election
1972_United_States_presidential_election
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