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Gray graph

In the mathematical field of graph theory, the Gray graph is an undirected bipartite graph with 54 vertices and 81 edges. It is a cubic graph: every vertex touches exactly three edges. It was discovered by Marion C. Gray in 1932 (unpublished), then discovered independently by Bouwer 1968 in reply to a question posed by Jon Folkman 1967. The Gray graph is…

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Automorphisms
1296
Book thickness
3
Chromatic index
3
Chromatic number
2
Diameter
6
Edges
81

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Overview

Construction

Algebraic properties

Geometric properties

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Map overview Semantic statistics

Gray graph

Nodes32
Edges31
Triples81
Avg. degree1.94
Density0.0625
Components1

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Gray graph

Top relations

related to References · 37
Gray graph → AID-JGT1, An, Bouwer, Canadian Mathematical Bulletin, CMB-1968-063-0, CO, Combinatorial Theory, Combinatorics, December, Dragan, European Journal, Folkman, Graph Theory, Gray, Ivic-Weiss, Izak Bouwer, Izak Zurk Bouwer, Journal, Marušič, Monson
related to Construction · 15
Gray graph → As, Bouwer, Gray, In, It, Ivic-Weiss, Levi, Marušič, Monson, Pisanski, Schulte, The, The Gray, This, Wilson
related to External links · 6
Gray graph → Eric, Its Kind, MathWorld, Smallest Graph, The Gray Graph Is, Weisstein
is a · 5
Gray graph → group of order 1296, Levi graph of this configuration, semi-symmetric graph, Smallest Graph of Its Kind, undirected bipartite graph with 54 vertices and 81 edges
related to Algebraic properties · 4
Gray graph → Gray, It, The, Therefore
Automorphisms · 1
Gray graph → 1296
Book thickness · 1
Gray graph → 3
Chromatic index · 1
Gray graph → 3
Chromatic number · 1
Gray graph → 2
Diameter · 1
Gray graph → 6

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Important terminology

graph gray cubic vertices edges bouwer vertex pisanski doi graphs 10 theory edge bipartite marušič points journal algebraic chromatic index

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Gray graphAutomorphisms12961.00infobox
Gray graphBook thickness31.00infobox
Gray graphChromatic index31.00infobox
Gray graphChromatic number21.00infobox
Gray graphDiameter61.00infobox
Gray graphEdges811.00infobox
Gray graphGenus71.00infobox
Gray graphGirth81.00infobox
Gray graphNamed afterMarion Cameron Gray1.00infobox
Gray graphPropertiesCubic Semi-symmetric Hamiltonian Bipartite1.00infobox
Gray graphQueue number21.00infobox
Gray graphRadius61.00infobox
Gray graphVertices541.00infobox
Gray graphis aundirected bipartite graph with 54 vertices and 81 edges0.90text
Gray graphis aLevi graph of this configuration0.90text
Gray graphis agroup of order 12960.90text
Gray graphis asemi-symmetric graph0.90text
Gray graphis aSmallest Graph of Its Kind0.90text

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