Graph details

Graph # 44066

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

44066

Graph name

cospectral mate b1

Graph submitted by

Sancuan Zhang

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 3
Algebraic Connectivity 0.96 Laplacian Largest Eigenvalue 5.76
Average Degree 3 Longest Induced Cycle 12
Bipartite No Longest Induced Path 11
Chromatic Index 3 Matching Number 9
Chromatic Number 3 Maximum Degree 3
Circumference 18 Minimum Degree 3
Claw-Free No Minimum Dominating Set 5
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 27
Density 0.176 Number of Triangles 0
Diameter 4 Number of Vertices 18
Edge Connectivity 3 Planar No
Eulerian No Radius 3
Genus 2 Regular Yes
Girth 5 Second Largest Eigenvalue 2.04
Hamiltonian Yes Smallest Eigenvalue -2.76
Independence Number 8 Vertex Connectivity 3

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

Comments

Posted by Sancuan Zhang at Oct 31, 2020 12:09 PM.
cospectral with b2.

Posted by Sancuan Zhang at Oct 31, 2020 12:11 PM.
The id of b2 is 44068.

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