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The Wigner 3n-j Graphs up to 12 Vertices

Mathematical Physics 2012-01-31 v3 math.MP Quantum Physics

Abstract

The 3-regular graphs representing sums over products of Wigner 3-jm symbols are drawn on up to 12 vertices (complete to 18j-symbols), and the irreducible graphs on up to 14 vertices (complete to 21j-symbols). The Lederer-Coxeter-Frucht notations of the Hamiltonian cycles in these graphs are tabulated to support search operations.

Keywords

Cite

@article{arxiv.1109.2358,
  title  = {The Wigner 3n-j Graphs up to 12 Vertices},
  author = {Richard J. Mathar},
  journal= {arXiv preprint arXiv:1109.2358},
  year   = {2012}
}

Comments

Added information on girth, diameter and Wiener and Estrada indices. Added gnuplot and Molfiles with 3D representations