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On existence of a strongly regular graph
mathematics In graph theory, Conway's 99-graph problem is an unsolved problem asking whether there exists an undirected graph with 99 vertices, in which each
Conway's_99-graph_problem
is an odd sum of two squares? Conway's 99-graph problem: does there exist a strongly regular graph with parameters ( 99 , 14 , 1 , 2 ) {\displaystyle
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Set of points touching all convex bodies of unit volume
Danzer's problem. Conway offered a $1000 prize for a solution to his problem, as part of a set of problems also including Conway's 99-graph problem, the analysis
Danzer_set
Horton Conway Nature, 23 July 2015 A question related to Conways 99 graph problem MathOverflow Conway, J.H. and Guy, R.K. "The Look and Say Sequence." In The
List of things named after John Horton Conway
List_of_things_named_after_John_Horton_Conway
Concept in graph theory
μ = 0 or v + λ = 2k. Conway's 99-graph problem asks for the construction of an srg(99, 14, 1, 2). It is unknown whether a graph with these parameters
Strongly_regular_graph
Graph where every edge is in one triangle
(2017), Not Conway's 99-graph problem, arXiv:1707.08047 Hiraki, Akira; Nomura, Kazumasa; Suzuki, Hiroshi (2000), "Distance-regular graphs of valency 6
Locally_linear_graph
Berlekamp–Van Lint–Seidel graph and the 9-vertex Paley graph with parameters ( 9 , 4 , 1 , 2 ) {\displaystyle (9,4,1,2)} . Conway's 99-graph problem concerns the existence
Berlekamp–Van Lint–Seidel graph
Berlekamp–Van_Lint–Seidel_graph
Graph drawn with all edges intersecting
disproving this conjecture, as part of a set of prize problems also including Conway's 99-graph problem, the minimum spacing of Danzer sets, and the winner
Thrackle
Mathematical game
opening move 16, as part of a set of prize problems also including Conway's 99-graph problem, the minimum spacing of Danzer sets, and the thrackle conjecture
Sylver_coinage
Open problem on 3x+1 and x/2 functions
Unsolved problem in mathematics For even numbers, divide by 2; For odd numbers, multiply by 3 and add 1. With enough repetition, do all positive integers
Collatz_conjecture
a graph with the same number of vertices and edges. Like the Berlekamp–van Lint–Seidel graph and the unknown solution to Conway's 99-graph problem, every
3-3_duoprism
Problem in geometry
regions instead of 31, eight points produce 88 regions instead of 99, etc. The problem of finding the maximum number of regions into which a convex polygon
Moser's_circle_problem
Two pentagonal pyramids fused base-to-base
give rise to a graph. It is one of the four four-connected simplicial well-covered graphs. It is also one of the six connected graphs in which its neighborhood
Pentagonal_bipyramid
Embedding a graph in 3D space with no cycles interlinked
In topological graph theory, a mathematical discipline, a linkless embedding of an undirected graph is an embedding of the graph into three-dimensional
Linkless_embedding
Arrangement of spheres within a space
However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in
Sphere_packing
Large number coined by Ronald Graham
number is an immense number that arose as an upper bound on the answer of a problem in the mathematical field of Ramsey theory. It is much larger than many
Graham's_number
Graph with edges non-crossing and upward
In graph drawing, an upward planar drawing of a directed acyclic graph is an embedding of the graph into the Euclidean plane, in which the edges are represented
Upward_planar_drawing
Two player pursuit-evasion problem
monster games can be played on a pre-selected graph. It can be demonstrated that for any finite graph an optimal mixed search strategy exists that results
Princess_and_monster_game
American mathematician (1935–2020)
appearing in a 1989 paper by Chung, is an open problem on the pebbling number of Cartesian products of graphs. Graham's early work on job shop scheduling[A66][A69]
Ronald_Graham
psychology of mathematical problem solving Maria Silvia Lucido (1963–2008), Italian mathematician, expert on the prime graphs of finite groups Malwina Łuczak
List_of_women_in_mathematics
Covering by shapes without overlaps or gaps
polygon. The Delaunay triangulation is a tessellation that is the dual graph of a Voronoi tessellation. Delaunay triangulations are useful in numerical
Tessellation
Generalization of knots in 3-dimensional Euclidean space
3-dimensional Euclidean space. A virtual knot diagram is a 4-valent planar graph, but each vertex is now allowed to be a classical crossing or a new type
Virtual_knot
Mathematical game
mathematical game that can be played on any collection of squares on a sheet of graph paper. For example, it can be played on a 6×6 square, a rectangle, a polyomino
Domineering
Shape with four equal sides and angles
square tiling. Square tilings are ubiquitous in tiled floors and walls, graph paper, image pixels, and game boards. Square shapes are also often seen
Square
Shape with three equal sides
Discrete and Computational Geometry and Graphs. Japanese Conference on Discrete and Computational Geometry and Graphs. Kyoto. doi:10.1007/978-3-319-48532-4
Equilateral_triangle
Secrets 2010 Kentucky Senate General Election: Rand Paul (R) vs Jack Conway (D) graph of multiple polls from Pollster.com Election 2010: Kentucky Senate
2010 United States Senate election in Kentucky
2010_United_States_Senate_election_in_Kentucky
Array of numbers
The adjacency matrix of a finite graph is a basic notion of graph theory. It records which vertices of the graph are connected by an edge. Matrices
Matrix_(mathematics)
Hypothetical physical concept
will also solve the remaining problems of grand unified theories. In addition to explaining the forces listed in the graph, a theory of everything may also
Theory_of_everything
Type of vector space in math
to the closed graph theorem, which asserts that a linear function from one Banach space to another is continuous if and only if its graph is a closed set
Hilbert_space
Flat-sided three-dimensional shape
third problem", The Mathematical Gazette, 86 (506): 241–247, doi:10.2307/3621846, JSTOR 3621846, S2CID 125593771 Grünbaum, Branko (2007), "Graphs of polyhedra;
Polyhedron
American multinational technology company
2022. Griffin, Andrew (September 27, 2019). "Google birthday: The one big problem with the company's celebratory doodle". The Independent. Archived from
Analysis of variance Analytic and enumerative statistical studies Ancestral graph Anchor test Ancillary statistic ANCOVA – redirects to Analysis of covariance
List_of_statistics_articles
Search algorithm
Judea (1984). Heuristics: Intelligent Search Strategies for Computer Problem Solving. Addison-Wesley. ISBN 978-0-201-05594-8. OCLC 1035596197. Fishburn
Alpha–beta_pruning
Sequence of characters that forms a search pattern
star and set unions over finite words. This is a surprisingly difficult problem. As simple as the regular expressions are, there is no method to systematically
Regular_expression
Right Graph for Your Message-2004" (PDF). Archived (PDF) from the original on 2014-10-05. Retrieved 2014-10-29. "Stephen Few-Perceptual Edge-Graph Selection
Data_analysis
American political strategist and attorney
2018-03-06. Marinucci, Carla; White, Jeremy B.; ALEX; Nieves, Er; Massara, Graph (22 January 2019). "KAMALA is IN – NEWSOM running digital ads in other states
Nathan_Ballard
Theory of subatomic structure
belongs to a special class of functions called modular functions, whose graphs form a certain kind of repeating pattern. Although this function appears
String_theory
Data-flow programming paradigm
example is RaftLib which uses C++ iostream-like operators to specify the flow graph. FBP has much in common with the Linda language in that it is, in Gelernter
Flow-based_programming
upper bound solution to a problem in Ramsey theory. Mathematics: TREE(3): appears in relation to a theorem on trees in graph theory. Representation of
Orders_of_magnitude_(numbers)
memory" equivalent to RAM, multiple forms of output including a bell, a graph-plotter, and simple printer, and a programmable input-output "hard" memory
History_of_computing
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
contributions range from founding the study of graph theory with the Seven Bridges of Königsberg problem to standardizing many modern mathematical terms
History_of_mathematics
Statistical bias
other locations around the world. This grouping can be seen in the first graph showing the distribution of births, by month, for the European Union over
Relative_age_effect
Long-term high blood pressure in the arteries
as part of health screening or when seeking healthcare for an unrelated problem. Some people with high blood pressure report headaches, as well as lightheadedness
Hypertension
2022. Hulsey, Lynn (March 25, 2022). "U.S. Senate candidate Dolan is 'problem solver,' says former AG Betty Montgomery". Journal-News. Retrieved May
2022 United States Senate election in Ohio
2022_United_States_Senate_election_in_Ohio
Type of computational models
Models of Segregation" in 1971. Though Schelling originally used coins and graph paper rather than computers, his models embodied the basic concept of agent-based
Agent-based_model
Arithmetic operation
or πe (defined using Kneser's extension) are rationals or not. For each graph H on h vertices and each ε > 0, define D = 2 ↑↑ 5 h 4 log ( 1 / ε ) .
Tetration
Earth's southernmost continent
most recent charted data by a few months.) "Charctic Interactive Sea Ice Graph: A Sea Ice Today Tool". National Snow and Ice Data Center. University of
Antarctica
American computer scientist and mathematician (born 1938)
Addison-Wesley. ISBN 978-0-201-03812-5. Donald E. Knuth, The Stanford GraphBase: A Platform for Combinatorial Computing (New York, ACM Press) 1993.
Donald_Knuth
Natural number
prime 12110 = weird number 12167 = 233 12172 = number of triangle-free graphs on 10 vertices 12198 = semi-meandric number 12251 = number of primes ≤ 2
10,000
Elementary cellular automaton
configuration of Rule 90, one may form a mathematical forest, a directed acyclic graph in which every vertex has at most one outgoing edge, whose trees are the
Rule_90
UK government budget
described the negative market reaction as "dispiriting", and argued that the problem was "one of presentation and context". Alex Brummer, City editor at the
September 2022 United Kingdom mini-budget
September_2022_United_Kingdom_mini-budget
System composed of many interacting components
research. In many cases, it is useful to represent such a system as a network (graph) where the nodes represent the components and links represent their interactions
Complex_system
Mario Tokoro, ed. (2010). "9". e: From Understanding Principles to Solving Problems. IOS Press. pp. 223–224. ISBN 978-1-60750-468-9. Cristopher Moore; Stephan
List of pioneers in computer science
List_of_pioneers_in_computer_science
Chemical compound
temperature, pH, or added bicarbonate level, as illustrated in the accompanying graphs. The trends are illustrative for pool management, but whether scaling occurs
Calcium_carbonate
German submarine class of World War II
Iceland, where she was beached. U-570 was repaired and entered service as HMS Graph with the Royal Navy on 31 October 1941. On 1 May 1942, U-573 was heavily
Type_VII_submarine
Britain's Economic Problem: Too Few Producers (2nd ed. 1978) excerpt. Robert Bacon and Walter Eltis, Britain's economic problem revisited (Springer,
Economic history of the United Kingdom
Economic_history_of_the_United_Kingdom
Cognitive system for temporarily holding information
compare written statements about the relations between several variables to graphs illustrating the same or a different relation, as in the following sentence:
Working_memory
Study of strategic interactions on networks
network (a graph with nodes for each player, plus additional data). This contains concepts from game theory, nonlinear dynamics, and graph theory to analyze
Game_theory_on_networks
and transformation of computer programs. This paper introduced the use of graph-theoretic structures to encode program content in order to automatically
Women_in_computing
Rational number sequence
Richard P. (2010), "A survey of alternating permutations", Combinatorics and graphs, Contemporary Mathematics, vol. 531, Providence, RI: American Mathematical
Bernoulli_number
Merchant sailing ship of the 19th century
properly insulated fastenings, could use copper sheathing without the problem of galvanic corrosion. Copper sheathing prevented fouling and teredo worm
Clipper
Denial of the scientific consensus on climate change
defamation lawsuit filed in 2012 against bloggers who attacked his hockey stick graph of the Northern Hemisphere temperature rise. One of the bloggers had called
Climate_change_denial
Atmospheric constituent and greenhouse gas
Dioxide". National Oceanic & Atmospheric Administration. Latest figure, and graphs of trend; frequently updated "Table of atmospheric CO₂ since 1958, updated
Carbon dioxide in the atmosphere of Earth
Carbon_dioxide_in_the_atmosphere_of_Earth
All Odd Squad episodes
Wrangle It/Ahead of the Time | Odd Squad". Retrieved August 15, 2021. "The Problem with Pentagurps/Three Portals Down | Odd Squad". Retrieved August 15, 2021
List_of_Odd_Squad_episodes
by numbers. Wet-dry cycles at geothermal springs are shown to solve the problem of hydrolysis and promote the polymerization and vesicle encapsulation
History_of_life
High-capacity electrochemical capacitor
frequency fluctuations throughout the entire system. To overcome this problem, supercapacitors can be implemented as an interface between the load and
Supercapacitor
UK water company
50–52. Retrieved 12 February 2011. "Thames Water leakage - explanatory graphs" (PDF). Ofwat. Retrieved 9 March 2013.[dead link] 2012/13 figures: 646×10^6 L
Thames_Water
School of Columbia University in New York
Techstars David Eppstein (PhD. 1989), developer of computational geometry, graph algorithms, and recreational mathematics Ursula Burns (M.S. 1991), Current
Fu Foundation School of Engineering and Applied Science
Fu_Foundation_School_of_Engineering_and_Applied_Science
be the first theorem of graph theory. Paul Erdős and Alfréd Rényi (1960) Provides a detailed discussion of sparse random graphs, including distribution
List of publications in mathematics
List_of_publications_in_mathematics
output of one integrator drove the input of the next integrator, or a graphing output. A notable series of analog calculating machines were developed
History_of_computing_hardware
Largest city in Maryland, United States
nine days where the high fails to reach the freezing mark. See or edit raw graph data. Baltimore reached a peak population of 949,708 at the 1950 U.S. census
Baltimore
Burning tobacco and inhaling the smoke
character as "The Sandman", is a chronic smoker to appear "tough". The problem of smoking at home is challenging for women in many cultures (especially
Tobacco_smoking
The conclusion was influenced especially by the so-called hockey stick graph showing an abrupt historical temperature rise simultaneous with the rise
History of climate change science
History_of_climate_change_science
Probability distribution with more than one mode
plot the log of the particle size against the cumulative frequency. This graph will usually consist two reasonably straight lines with a connecting line
Multimodal_distribution
City in Alaska, United States
a negative phase to a positive phase from 1976 onward. See or edit raw graph data. Mean monthly maxima and minima (i.e. the highest and lowest temperature
Fairbanks,_Alaska
American history and created the first historical atlas of the U.S. Her maps, graphs, and pictures added the details of the nation's geography into the broad
History of education in the United States
History_of_education_in_the_United_States
Branch of psychology
stress is moderate (not too high or low). This idea is demonstrated in a graph where physiological arousal is plotted against performance. The curve resembles
Sport_psychology
Simple game studied in game theory
game - a much more complicated two-player logic game, played on a colored graph. Penney's game - an exploitable sequence game Gibbons, Robert (1992). Game
Matching_pennies
WWI German naval campaign to attack Allied trade routes (1914–18)
these might lie. However Jellicoe had developed a tactical response to the problem (which, in the event, was never tested). Faced with a German fleet that
U-boat_campaign
analysis: the extracted ionization values are plotted. Specifically, the graph plots energy deposition in the tail against energy deposition in the entire
Neutron_detection
Capital city of American Samoa
the clouds creating downfalls of enormous proportions. See or edit raw graph data. The village of Pago Pago proper had a 2010 population of 3,656. However
Pago_Pago,_American_Samoa
General election in New Zealand
Morgan Research, and Television New Zealand (One News Colmar Brunton). The graph on the left below shows the collated results of all five polls for parties
2014 New Zealand general election
2014_New_Zealand_general_election
Mário; Saleiro, Pedro; Bizarro, Pedro (October 26, 2022). "LaundroGraph: Self-Supervised Graph Representation Learning for Anti-Money Laundering". Proceedings
Timeline of computing 2020–present
Timeline_of_computing_2020–present
from the Front Lines Michael E. Mann 2012 Climate change: hockey stick graph ISBN 0-231-15254-X Hot, Flat, and Crowded: Why We Need a Green Revolution—And
List_of_environmental_books
Shankar Shrikhande, 102, Indian mathematician, developer of Shrikhande graph. Milt Sunde, 78, American football player (Minnesota Vikings), complications
Deaths_in_April_2020
Environmental and science communication
A 2018 study concluded that graphical illustrations such as charts and graphs more effectively overcome misperceptions than the same information presented
Climate_communication
Video game that resembles another video game
and amateur coders for platforms ranging from desktop microcomputers to graphing calculators. Nintendo estimated a loss of over $100 million to Donkey Kong
Video_game_clone
Graduate-level textbooks in mathematics
P. Brown, Narutaka Ozawa 2008 978-0-8218-4381-9 89 A Course on the Web Graph Anthony Bonato 2008 978-0-8218-4467-0 90 Basic Quadratic Forms Larry J.
Graduate Studies in Mathematics
Graduate_Studies_in_Mathematics
German World War II submarine
21 October the inbound U-333 was attacked by the British submarine HMS Graph about 50 nautical miles (93 km; 58 mi) north-north-east of Cape Ortegal
German_submarine_U-333
2020. Retrieved May 30, 2020. Marinucci, Carla; White, Jeremy B.; Massara, Graph; Leathley, Aaron (March 2, 2020). "Politico Playbook: Boxer, Yee and Cisneros
List of Joe Biden 2020 presidential campaign congressional endorsements
List_of_Joe_Biden_2020_presidential_campaign_congressional_endorsements
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM
CONWAYS 99-GRAPH-PROBLEM