Graph details

Graph # 28529

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id


Graph name

Hex Grid 2,2,2

Graph submitted by

Kevin Ryde

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 2.675
Algebraic Connectivity 0.249 Laplacian Largest Eigenvalue 5.562
Average Degree 2.5 Longest Induced Cycle 18
Bipartite Yes Longest Induced Path 17
Chromatic Index 3 Matching Number 12
Chromatic Number 2 Maximum Degree 3
Circumference 22 Minimum Degree 2
Claw-Free No Minimum Dominating Set 6
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 30
Density 0.109 Number of Triangles 0
Diameter 7 Number of Vertices 24
Edge Connectivity 2 Planar Yes
Eulerian No Radius 5
Genus 0 Regular No
Girth 6 Second Largest Eigenvalue 2.214
Hamiltonian No Smallest Eigenvalue -2.675
Independence Number 12 Vertex Connectivity 2

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


Posted by Kevin Ryde at Sep 9, 2017 1:21 AM.
This is Gosper island grid level 1. Subsequent island expansions replace each hexagon with this. Existing edges becomes 3 edges and adjacent replacements alternate in phase so as to maintain degree <= 3.

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