Graph details

Graph # 44097

Adjacency matrix

011000000
100001001
100000110
000011001
000100110
010100100
001011000
001010001
010100010

Adjacency list

1: 2 3
2: 1 6 9
3: 1 7 8
4: 5 6 9
5: 4 7 8
6: 2 4 7
7: 3 5 6
8: 3 5 9
9: 2 4 8

HoG graph id

44097

Graph name

Cube Corner Line Filled Avatar Graph

Graph submitted by

Sven Nilsen

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 2.928
Algebraic Connectivity 1.268 Laplacian Largest Eigenvalue 5.814
Average Degree 2.889 Longest Induced Cycle 7
Bipartite No Longest Induced Path 5
Chromatic Index 4 Matching Number 4
Chromatic Number 3 Maximum Degree 3
Circumference 9 Minimum Degree 2
Claw-Free No Minimum Dominating Set 3
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 13
Density 0.361 Number of Triangles 0
Diameter 3 Number of Vertices 9
Edge Connectivity 2 Planar Yes
Eulerian No Radius 3
Genus 0 Regular No
Girth 4 Second Largest Eigenvalue 1.343
Hamiltonian Yes Smallest Eigenvalue -2.814
Independence Number 4 Vertex Connectivity 2

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

Comments

Posted by Sven Nilsen at Feb 13, 2021 6:32 AM.
This is a filled Avatar Graph, see https://github.com/advancedresearch/avatar_graph/issues/60

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