The Clar covering polynomial of hexagonal systems. III

DOI10.1016/S0012-365X(99)00293-9zbMath0947.05077OpenAlexW3020987526WikidataQ127797946 ScholiaQ127797946MaRDI QIDQ1971216

Heping Zhang, Fu Ji Zhang

Publication date: 8 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)00293-9

zbMATH Keywords

perfect matchingClar numberhexagonal systemresonant patternClar formulasextet polynomialClar covering polynomialClar cover

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 (12)

Analytic properties of sextet polynomials of hexagonal systems ⋮ ZZ Polynomials of Regular m-tier Benzenoid Strips as Extended Strict Order Polynomials of Associated Posets Part 3. Compilation of Results for m=1-6 ⋮ Zhang-Zhang polynomials of cyclo-polyphenacenes ⋮ Algorithm for generating generalized resonance structures of single zigzag chains based on interface theory ⋮ The Clar covering polynomial of hexagonal systems with an application to chromatic polynomials ⋮ Hypergraphs and the Clar problem in hexagonal systems ⋮ The number of \(n\)-cycles in a graph ⋮ Closed-form formulas for the Zhang-Zhang polynomials of benzenoid structures: prolate rectangles and their generalizations ⋮ Unnamed Item ⋮ Equivalence between Clar covering polynomials of single zigzag chains and tiling polynomials of \(2 \times n\) rectangles ⋮ Counting clar structures of \((4,6)\)-fullerenes ⋮ Enumeration of Clar covers of parallelogram chains

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