Graph details

Graph # 44053

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

44053

Graph name

n/a

Graph submitted by

House of Graphs

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 3
Algebraic Connectivity 0.338 Laplacian Largest Eigenvalue 5.674
Average Degree 3 Longest Induced Cycle Computation time out
Bipartite No Longest Induced Path Computation time out
Chromatic Index Computation time out Matching Number 125
Chromatic Number 3 Maximum Degree 3
Circumference Computation time out Minimum Degree 3
Claw-Free No Minimum Dominating Set Computation time out
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 375
Density 0.012 Number of Triangles 0
Diameter 10 Number of Vertices 250
Edge Connectivity Computation time out Planar Computation time out
Eulerian No Radius 10
Genus Computation time out Regular Yes
Girth 11 Second Largest Eigenvalue 2.662
Hamiltonian Computation time out Smallest Eigenvalue -2.674
Independence Number Computation time out 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 House of Graphs at Sep 21, 2020 4:03 PM.
Is a vertex-transitive cubic graph. See: P. Poto─Źnik, P. Spiga, G. Verret, Cubic vertex-transitive graphs on up to 1280 vertices, Journal of Symbolic Computation 50 (2013), 465-477.

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