Graph details

Graph # 33958

Adjacency matrix

[Too large to display]

Adjacency list

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HoG graph id


Graph name


Graph submitted by

House of Graphs

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 11
Algebraic Connectivity 4.228 Laplacian Largest Eigenvalue 15.842
Average Degree 11 Longest Induced Cycle 6
Bipartite No Longest Induced Path 6
Chromatic Index Computation time out Matching Number 11
Chromatic Number 7 Maximum Degree 11
Circumference 22 Minimum Degree 11
Claw-Free No Minimum Dominating Set 2
Clique Number 7 Number of Components 1
Connected Yes Number of Edges 121
Density 0.524 Number of Triangles 244
Diameter 2 Number of Vertices 22
Edge Connectivity 11 Planar Computation time out
Eulerian No Radius 2
Genus Computation time out Regular Yes
Girth 3 Second Largest Eigenvalue 6.772
Hamiltonian Yes Smallest Eigenvalue -4.842
Independence Number 5 Vertex Connectivity 8

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


Posted by House of Graphs at Aug 9, 2019 11:53 AM.
An 11-regular nut graph. See "P.W. Fowler, J.B. Gauci, J. Goedgebeur, T. Pisanski and I. Sciriha, Existence of d-regular nut graphs for d at most 11, submitted" for more information.

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