Graph details

Graph # 35441

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

35441

Graph name

VO_6^-(2)

Graph submitted by

Steven Van Overberghe

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 27
Algebraic Connectivity 24 Laplacian Largest Eigenvalue 32
Average Degree 27 Longest Induced Cycle 9
Bipartite No Longest Induced Path 7
Chromatic Index Computation time out Matching Number 32
Chromatic Number Computation time out Maximum Degree 27
Circumference 64 Minimum Degree 27
Claw-Free No Minimum Dominating Set 4
Clique Number 4 Number of Components 1
Connected Yes Number of Edges 864
Density 0.429 Number of Triangles 2880
Diameter 2 Number of Vertices 64
Edge Connectivity Computation time out Planar Computation time out
Eulerian No Radius 2
Genus Computation time out Regular Yes
Girth 3 Second Largest Eigenvalue 3
Hamiltonian Yes Smallest Eigenvalue -5
Independence Number 6 Vertex Connectivity Computation time out

A table row rendered like this indicates that the graph is marked as being interesting for that invariant.

Comments

Posted by Steven Van Overberghe at May 30, 2020 6:52 PM.
Extremal graph containing no K5-e as a subgraph, nor a K7-e in the complement, establishing R(K5-e,K7-e)=65.

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