Forcing polynomials of benzenoid parallelogram and its related benzenoids

DOI10.1016/j.amc.2016.03.008zbMath1410.05096OpenAlexW2314442073MaRDI QIDQ1733459

Shuang Zhao, Heping Zhang

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.008

zbMATH Keywords

perfect matchingforcing numberbenzenoidforcing polynomialinnate degree of freedom

Mathematics Subject Classification ID

Graph polynomials (05C31) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items

Matching Forcing Polynomials of Constructable Hexagonal Systems ⋮ Continuous forcing spectrum of regular hexagonal polyhexes ⋮ The anti-forcing spectra of \(( 4 , 6 )\)-fullerenes ⋮ On the maximum forcing and anti-forcing numbers of \((4, 6)\)-fullerenes ⋮ Matching anti-forcing polynomials of catacondensed hexagonal systems ⋮ Forcing and anti-forcing polynomials of a type of polyomino graphs ⋮ Forcing and anti-forcing polynomials of perfect matchings for some rectangle grids ⋮ Anti-forcing polynomials for benzenoid systems with forcing edges ⋮ Clar structures vs Fries structures in hexagonal systems

Cites Work

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• The global forcing number of the parallelogram polyhex
• The minimum forcing number for the torus and hypercube
• On the forced matching numbers of bipartite graphs
• Hexagonal systems with forcing edges
• On the anti-forcing number of benzenoids
• Forcing bonds of a benzenoid system
• Anti-forcing numbers of perfect matchings of graphs