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Doubly-Colored Graphs as Graphical Models for Subductions of Coset Representations, Double Cosets, and Unit Subduced Cycle Indices
Authors:Shinsaku Fujita  Sherif El-Basil
Institution:(1) Department of Chemistry and Materials Technology, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto, 606-8585, Japan;(2) Faculty of Pharmacy, Kasr El-Aini Street, Cairo, 11562, Egypt
Abstract:The concept of doubly-colored graphs is proposed to model subductions of coset representations, double cosets, and unit subduced cycle indices, which have been mathematically formulated in coset algebraic theory developed by Fujita (Symmetry and Combinatorial Enumeration in Chemistry, Springer-Verlag, Berlin, 1991).
Keywords:coset representation  subduction  double coset  graphical model
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