Graph details

Graph # 49191

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

49191

Graph name

n/a

Graph submitted by

House of Graphs

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 3.093
Algebraic Connectivity 0.189 Laplacian Largest Eigenvalue 6.188
Average Degree 3.057 Longest Induced Cycle 34
Bipartite No Longest Induced Path 34
Chromatic Index 4 Matching Number 26
Chromatic Number 3 Maximum Degree 4
Circumference 52 Minimum Degree 3
Claw-Free No Minimum Dominating Set 15
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 81
Density 0.059 Number of Triangles 0
Diameter 8 Number of Vertices 53
Edge Connectivity 3 Planar Yes
Eulerian No Radius 6
Genus 0 Regular No
Girth 5 Second Largest Eigenvalue 2.859
Hamiltonian No Smallest Eigenvalue -2.808
Independence Number 22 Vertex Connectivity Computation time out

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

Comments

Posted by House of Graphs at May 12, 2022 1:50 PM.
A planar K2-hypohamiltonian graph. See "J. Goedgebeur, J. Renders, G. Wiener and C.T. Zamfirescu, K2-Hamiltonian Graphs: II, manuscript" for more details.

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