Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials

DOI10.1016/j.aam.2022.102479OpenAlexW4313531124WikidataQ123003763 ScholiaQ123003763MaRDI QIDQ2687276

Yueming Zhong, Guoce Xin

Publication date: 1 March 2023

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

Full work available at URL: https://arxiv.org/abs/2201.02376

zbMATH Keywords

Chebyshev polynomialslinear graphsKekulé numbersunit-primitive matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (n)-dimensional polytopes (52B11) Eigenvalues, singular values, and eigenvectors (15A18) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Chemical graph theory (05C92)

Uses Software

• OEIS

Cites Work

• On the enumeration of certain weighted graphs
• Generalization of Stanley's monster reciprocity theorem
• Linear homogeneous Diophantine equations and magic labelings of graphs
• Lectures on Polytopes
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