Graph details

Graph # 32242

Adjacency matrix

0110000001
1000000011
1000000101
0000110001
0001001001
0001000101
0000100011
0010010001
0100001001
1111111110

Adjacency list

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

HoG graph id

32242

Graph name

n/a

Graph submitted by

Jan Goedgebeur

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 4.162
Algebraic Connectivity 1.468 Laplacian Largest Eigenvalue 10
Average Degree 3.6 Longest Induced Cycle 9
Bipartite No Longest Induced Path 7
Chromatic Index 9 Matching Number 5
Chromatic Number 4 Maximum Degree 9
Circumference 10 Minimum Degree 3
Claw-Free No Minimum Dominating Set 1
Clique Number 3 Number of Components 1
Connected Yes Number of Edges 18
Density 0.4 Number of Triangles 9
Diameter 2 Number of Vertices 10
Edge Connectivity 3 Planar Yes
Eulerian No Radius 1
Genus 0 Regular No
Girth 3 Second Largest Eigenvalue 1.532
Hamiltonian Yes Smallest Eigenvalue -2.162
Independence Number 4 Vertex Connectivity 3

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

Comments

Posted by Jan Goedgebeur at Nov 12, 2018 4:30 PM.
9-wheel

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