Graph details

Graph # 33749

Adjacency matrix

[Too large to display]

Adjacency list

[Too large to display]

HoG graph id

33749

Graph name

Dragon Curve Blob 6

Graph submitted by

Kevin Ryde

Invariant values

The definitions of the invariants can be found here.
Invariant Value Invariant Value
Acyclic No Index 2.926
Algebraic Connectivity 0.152 Laplacian Largest Eigenvalue 6.353
Average Degree 2.588 Longest Induced Cycle 4
Bipartite Yes Longest Induced Path 9
Chromatic Index 4 Matching Number 8
Chromatic Number 2 Maximum Degree 4
Circumference 8 Minimum Degree 2
Claw-Free No Minimum Dominating Set 6
Clique Number 2 Number of Components 1
Connected Yes Number of Edges 22
Density 0.162 Number of Triangles 0
Diameter 8 Number of Vertices 17
Edge Connectivity 2 Planar Yes
Eulerian No Radius 4
Genus 0 Regular No
Girth 4 Second Largest Eigenvalue 2.425
Hamiltonian No Smallest Eigenvalue -2.926
Independence Number 9 Vertex Connectivity 1

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

Comments

Posted by Kevin Ryde at Jul 11, 2019 11:31 AM.
The Heighway/Harter dragon curve comprises blobs of touching enclosed unit squares, being maximal 2-edge-connected subgraphs. The present graph is blob 6 which is the biggest occurring in curve level 6. The degree 3 vertices are where the rest of the curve connects.

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