The Wigner 3n-j Graphs up to 12 Vertices
Richard J. Mathar
TL;DR
This paper catalogs Wigner 3n-j graph representations up to 12 vertices, providing detailed notation tables to facilitate the analysis of complex angular momentum coupling in quantum physics.
Contribution
It systematically enumerates and tabulates Wigner 3n-j graphs and their Hamiltonian cycles up to specified sizes, aiding future research in quantum angular momentum theory.
Findings
Complete enumeration of 3-regular graphs up to 12 vertices
Tabulated Lederer-Coxeter-Frucht notations for Hamiltonian cycles
Support for search operations in Wigner graph analysis
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.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · graph theory and CDMA systems