Graph details

Graph # 44101

Adjacency matrix

0000011001
0000100110
0001001001
0010000110
0100011001
1000100110
1010100100
0101011000
0101010001
1010100010

Adjacency list

1: 6 7 10
2: 5 8 9
3: 4 7 10
4: 3 8 9
5: 2 6 7 10
6: 1 5 8 9
7: 1 3 5 8
8: 2 4 6 7
9: 2 4 6 10
10: 1 3 5 9

HoG graph id

44101

Graph name

Fish 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 3.659
Algebraic Connectivity 2 Laplacian Largest Eigenvalue 7.414
Average Degree 3.6 Longest Induced Cycle 6
Bipartite Yes Longest Induced Path 5
Chromatic Index 4 Matching Number 5
Chromatic Number 2 Maximum Degree 4
Circumference 10 Minimum Degree 3
Claw-Free No Minimum Dominating Set 2
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 18
Density 0.4 Number of Triangles 0
Diameter 3 Number of Vertices 10
Edge Connectivity 3 Planar No
Eulerian No Radius 3
Genus 1 Regular No
Girth 4 Second Largest Eigenvalue 1.381
Hamiltonian Yes Smallest Eigenvalue -3.659
Independence Number 5 Vertex Connectivity 3

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 16, 2021 10:50 PM.
This is a filled Avatar Graph, see https://github.com/advancedresearch/avatar_graph/issues/70

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