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Open Quantum Systems Decoherence Quantum Chemistry

Computing the Matching Polynomials and Independence Polynomials of Phenylene Chains

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Authors: Hanlin Chen, Xiang Gao

Year

2024

Paper ID

13849

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

77

Citations

1

Abstract

ABSTRACTPhenylene, a significant structural motif in organic chemistry, exhibits remarkable electron delocalization and stability. In this paper, we first present reduction formulas for computing the matching polynomial and the independence polynomial of any phenylene chain using the transfer matrix technique. We then derive computational formulas for the Hosoya index and the Merrifield–Simmons index of phenylene chains. Additionally, we obtain the expected values of the Hosoya index and the Merrifield–Simmons index for a random phenylene chain.

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  • This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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  • ABSTRACTPhenylene, a significant structural motif in organic chemistry, exhibits remarkable electron delocalization and stability.

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References & Citation Signals

[1] DOI https://doi.org/10.1002/qua.70002 [2] Publisher https://doi.org/10.1002/qua.70002

Local Citation Graph (Related-Paper Links)

Current Paper #13849 #69978 Distribution Complexity of Elec... #69971 Quantum-enhanced estimation of ... #69966 Schur--Horn bound on field-free... #69943 The moving Fermi polaron

External citation index: OpenAlex citation signal • updated 2026-07-01 02:11:41

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