Graph details

Graph # 34165

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

34165

Graph name

Keller N=3

Graph submitted by

Kevin Ryde

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 34
Algebraic Connectivity 28 Laplacian Largest Eigenvalue 44
Average Degree 34 Longest Induced Cycle 6
Bipartite No Longest Induced Path 6
Chromatic Index Computation time out Matching Number 32
Chromatic Number Computation time out Maximum Degree 34
Circumference 64 Minimum Degree 34
Claw-Free No Minimum Dominating Set 4
Clique Number 5 Number of Components 1
Connected Yes Number of Edges 1088
Density 0.54 Number of Triangles 5568
Diameter 2 Number of Vertices 64
Edge Connectivity 34 Planar Computation time out
Eulerian Yes Radius 2
Genus Computation time out Regular Yes
Girth 3 Second Largest Eigenvalue 6
Hamiltonian Yes Smallest Eigenvalue -10
Independence Number 8 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 Kevin Ryde at Nov 30, 2019 7:47 AM.
The Keller graph N has 4^N vertices numbered 0 to 4^N-1. These vertices are treated as base-4 integers. Edges are between vertices differing in 2 or more digit positions, at least one of which is difference = 2 mod 4.

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