Graph details

Graph # 45586

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

45586

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 0.229 Laplacian Largest Eigenvalue 6
Average Degree 3 Longest Induced Cycle 14
Bipartite Yes Longest Induced Path 16
Chromatic Index 3 Matching Number 13
Chromatic Number 2 Maximum Degree 3
Circumference 26 Minimum Degree 3
Claw-Free No Minimum Dominating Set 8
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 39
Density 0.12 Number of Triangles 0
Diameter 7 Number of Vertices 26
Edge Connectivity 3 Planar No
Eulerian No Radius 4
Genus 3 Regular Yes
Girth 4 Second Largest Eigenvalue 2.771
Hamiltonian Yes Smallest Eigenvalue -3
Independence Number 13 Vertex Connectivity 3

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 Mar 30, 2021 9:08 PM.
A cubic graph with the maximum number of edge-Kempe equivalence classes for the given order. See: "J. Goedgebeur and P.R.J. Ostergard, Switching 3-edge-colorings of cubic graphs, manuscript, 2021" for more details.

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