neuralqx.graph.dodecahedral module

class DodecahedralGraph(*, plot=False, non_planar=False, random_embedding=False, random_embedding_mean=0.0, random_embedding_std=5.0, random_embedding_seed=123)

Bases: Graph

Dodecahedral graph.

This is the 1-skeleton of the regular dodecahedron. It is a 3-regular graph with

\[|V| = 20,\qquad |E| = 30.\]

The graph is constructed from networkx.generators.dodecahedral_graph(), then relabelled to consecutive integer vertex labels before being passed to Graph. If non_planar=True, vertices are relabelled to fixed-length 3-tuples and may be given a random spatial embedding.

Parameters:

  • plot (bool) – If True, produce a visualisation via the base graph machinery.

  • non_planar (bool) – If True, relabel vertices to 3-tuples to trigger the non-planar pipeline.

  • random_embedding (bool) – If True, assign a random 3D embedding to vertices (non-planar only).

  • random_embedding_mean (float) – Mean of the Gaussian used for the random embedding.

  • random_embedding_std (float) – Standard deviation of the Gaussian used for the random embedding.

  • random_embedding_seed (int) – Seed controlling the random embedding.