Closed-form formulas for the Zhang-Zhang polynomials of benzenoid structures: prolate rectangles and their generalizations

DOI10.1016/j.dam.2015.06.020zbMath1335.92117OpenAlexW2511532319WikidataQ112207336 ScholiaQ112207336MaRDI QIDQ897590

Jin-Su Kang, Chien-Pin Chou, Henryk A. Witek

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.dam.2015.06.020

zbMATH Keywords

perfect matchingClar structureZhang-Zhang polynomialClar covering polynomial

Mathematics Subject Classification ID

Graph polynomials (05C31) 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 (4)

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 ⋮ Algorithm for generating generalized resonance structures of single zigzag chains based on interface theory ⋮ Counting clar structures of \((4,6)\)-fullerenes ⋮ Enumeration of Clar covers of parallelogram chains

Uses Software

• Zzdecomposer

Cites Work

• The Clar covering polynomial of hexagonal systems with an application to chromatic polynomials
• The Clar covering polynomial of hexagonal systems. I
• The Clar covering polynomial of hexagonal systems. III
• A relation between Clar covering polynomial and cube polynomial
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