Kekulé structures of hexagonal chains -- some unusual connections

DOI10.1007/s10910-007-9329-4zbMath1217.92090OpenAlexW2086807208MaRDI QIDQ551950

Ivan Gutman, Haruo Hosoya

Publication date: 21 July 2011

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-007-9329-4

zbMATH Keywords

topological indexHosoya indexhexagonal chain\(Z\)-index

Mathematics Subject Classification ID

Applications of graph theory (05C90) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (8)

A connection between the Kekulé structures of pentagonal chains and the Hosoya index of caterpillar trees ⋮ Maxima and minima of the Hosoya index and the Merrifield-Simmons index ⋮ Kekulé structures of square-hexagonal chains and the Hosoya index of caterpillar trees ⋮ Perfect matchings in random pentagonal chains ⋮ Kekulé structures of polyomino chains and the Hosoya index of caterpillar trees ⋮ Vertex topological indices and tree expressions, generalizations of continued fractions ⋮ Maximum cardinality resonant sets and maximal alternating sets of hexagonal systems ⋮ Some Relations Between Kekule Structure and Morgan-Voyce Polynomials

Cites Work

• The Clar covering polynomial of hexagonal systems with an application to chromatic polynomials
• Coulson function and Hosoya index: extension of the relationship to polycyclic graphs and to new types of matching polynomials
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