AUTHOR=Wang Dayong , Yang Yujun TITLE=Resistance Distances in Linear Polyacene Graphs JOURNAL=Frontiers in Physics VOLUME=8 YEAR=2021 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.600960 DOI=10.3389/fphy.2020.600960 ISSN=2296-424X 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.