Graph details

Graph # 34167

Adjacency matrix

[Too large to display]

Adjacency list

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HoG graph id


Graph name


Graph submitted by

Christian Stricker

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 5
Algebraic Connectivity 1.777 Laplacian Largest Eigenvalue 7.414
Average Degree 5 Longest Induced Cycle 9
Bipartite No Longest Induced Path 7
Chromatic Index 5 Matching Number 8
Chromatic Number 4 Maximum Degree 5
Circumference 16 Minimum Degree 5
Claw-Free No Minimum Dominating Set 3
Clique Number 3 Number of Components 1
Connected Yes Number of Edges 40
Density 0.333 Number of Triangles 24
Diameter 3 Number of Vertices 16
Edge Connectivity 5 Planar Yes
Eulerian No Radius 3
Genus 0 Regular Yes
Girth 3 Second Largest Eigenvalue 3.223
Hamiltonian Yes Smallest Eigenvalue -2.414
Independence Number 4 Vertex Connectivity 5

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


Posted by Christian Stricker at Dec 5, 2019 11:53 AM.
Second smallest graph which is 5-regular and planar

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