Graph details

Graph # 44103

Adjacency matrix

00001001
00000110
00011001
00100110
10100110
01011001
01011001
10100110

Adjacency list

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

HoG graph id

44103

Graph name

Harry Potter Scar 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 3.414
Algebraic Connectivity 1.466 Laplacian Largest Eigenvalue 7.051
Average Degree 3.25 Longest Induced Cycle 4
Bipartite Yes Longest Induced Path 3
Chromatic Index 4 Matching Number 4
Chromatic Number 2 Maximum Degree 4
Circumference 8 Minimum Degree 2
Claw-Free No Minimum Dominating Set 2
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 13
Density 0.464 Number of Triangles 0
Diameter 3 Number of Vertices 8
Edge Connectivity 2 Planar No
Eulerian No Radius 2
Genus 1 Regular No
Girth 4 Second Largest Eigenvalue 1
Hamiltonian Yes Smallest Eigenvalue -3.414
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 17, 2021 12:31 AM.
This is a filled Avatar Graph, see https://github.com/advancedresearch/avatar_graph/issues/72

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