Graph details

Graph # 33628

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

33628

Graph name

Transposition Graph N=5

Graph submitted by

Kevin Ryde

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index undefined
Algebraic Connectivity 5 Laplacian Largest Eigenvalue 20
Average Degree 10 Longest Induced Cycle Computation time out
Bipartite Yes Longest Induced Path Computation time out
Chromatic Index Computation time out Matching Number 60
Chromatic Number 2 Maximum Degree 10
Circumference Computation time out Minimum Degree 10
Claw-Free No Minimum Dominating Set Computation time out
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 600
Density 0.084 Number of Triangles 0
Diameter 4 Number of Vertices 120
Edge Connectivity Computation time out Planar Computation time out
Eulerian Yes Radius 4
Genus Computation time out Regular Yes
Girth 4 Second Largest Eigenvalue undefined
Hamiltonian Computation time out Smallest Eigenvalue undefined
Independence Number 60 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 Kevin Ryde at Feb 23, 2019 2:33 AM.
Each vertex is a permutation of N=5 elements. There are 5!=120 such. Each edge is by swapping two elements to reach a new permutation.

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