Graph details

Graph # 45606

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id


Graph name


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 36
Average Degree 27 Longest Induced Cycle 6
Bipartite No Longest Induced Path 5
Chromatic Index Computation time out Matching Number 28
Chromatic Number Computation time out Maximum Degree 27
Circumference 56 Minimum Degree 27
Claw-Free No Minimum Dominating Set 2
Clique Number 4 Number of Components 1
Connected Yes Number of Edges 756
Density 0.491 Number of Triangles 2520
Diameter 3 Number of Vertices 56
Edge Connectivity Computation time out Planar Computation time out
Eulerian No Radius 3
Genus Computation time out Regular Yes
Girth 3 Second Largest Eigenvalue 3
Hamiltonian Yes Smallest Eigenvalue -9
Independence Number 7 Vertex Connectivity Computation time out

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


Posted by Steven Van Overberghe at Apr 13, 2021 9:40 AM.
TO(6,2)^-. Vertex-transitive. Has O(6,2)^- as neighbourhood of each vertex.

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