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Graph edge colorings and their chemical applications

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Abstract

A general method is outlined to enumerate the edge-colorings of graphs under group action. The symmetry group of the graph acting on the vertices induces permutation of the edges. The edge-colorings are enumerated using the edge-permutation group. A number of chemical applications especially to multiple quantum NMR spectroscopy, statistical mechanics, enumeration of unsaturated isomers, etc. are considered.

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Authors and Affiliations

  1. Department of Chemistry, Arizona State University, 85287-1604, Tempe, AZ, USA

    Krishnan Balasubramanian

Authors
  1. Krishnan Balasubramanian
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Alfred P. Sloan fellow; Camille and Henry Dreyfus teacher-scholar

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Balasubramanian, K. Graph edge colorings and their chemical applications. Theoret. Chim. Acta 74, 111–122 (1988). https://doi.org/10.1007/BF00528321

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  • DOI: https://doi.org/10.1007/BF00528321

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