Resistance Distances in Linear Polyacene Graphs

descriptionPublicationkeyboard_double_arrow_right Article 12 Jan 2021Publisher:Frontiers Media SAJournal:Frontiers in Physics, volume 8 (eissn: 2296-424X,

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Authors: Dayong Wang; Yujun Yang;

doi: 10.3389/fphy.2020.600960

Resistance Distances in Linear Polyacene Graphs

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Abstract

The resistance distance between any two vertices of a connected graph is defined as the net effective resistance between them in the electrical network constructed from the graph by replacing each edge with a unit resistor. In this article, using electric network approach and combinatorial approach, we derive exact expression for resistance distances between any two vertices of polyacene graphs.

Related Organizations

Hohai University
China (People's Republic of)
Yantai University
China (People's Republic of)

Keywords

hexagonal lattice, polyacene graph, local rules, Physics, QC1-999, resistance distance, circuit reduction

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