Graph details

Graph # 44091

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

44091

Graph name

Möbius Tesseract Filled Avatar Graph

Graph submitted by

Sven Nilsen

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 4
Algebraic Connectivity 2 Laplacian Largest Eigenvalue 7.236
Average Degree 4 Longest Induced Cycle 8
Bipartite No Longest Induced Path 7
Chromatic Index 4 Matching Number 8
Chromatic Number 3 Maximum Degree 4
Circumference 16 Minimum Degree 4
Claw-Free No Minimum Dominating Set 4
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 32
Density 0.267 Number of Triangles 0
Diameter 3 Number of Vertices 16
Edge Connectivity 4 Planar No
Eulerian Yes Radius 3
Genus 2 Regular Yes
Girth 4 Second Largest Eigenvalue 2
Hamiltonian Yes Smallest Eigenvalue -3.236
Independence Number 6 Vertex Connectivity 4

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

Comments

Posted by Sven Nilsen at Feb 7, 2021 2:56 PM.
A filled Avatar Graph discovered by finding a Möbius tesseract solution to the Constructive Symmetry Breaking problem, see https://github.com/advancedresearch/avatar_graph/issues/56

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