Graph details

Graph # 33956

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

33956

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 11
Algebraic Connectivity 5.43 Laplacian Largest Eigenvalue 16.303
Average Degree 11 Longest Induced Cycle 6
Bipartite No Longest Induced Path 5
Chromatic Index Computation time out Matching Number 10
Chromatic Number 7 Maximum Degree 11
Circumference 20 Minimum Degree 11
Claw-Free No Minimum Dominating Set 2
Clique Number 7 Number of Components 1
Connected Yes Number of Edges 110
Density 0.579 Number of Triangles 216
Diameter 2 Number of Vertices 20
Edge Connectivity 11 Planar Computation time out
Eulerian No Radius 2
Genus Computation time out Regular Yes
Girth 3 Second Largest Eigenvalue 5.57
Hamiltonian Yes Smallest Eigenvalue -5.303
Independence Number 6 Vertex Connectivity 7

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 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.

You need to be logged in to be able to add comments.