Resistance Distances in Linear Polyacene Graphs
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,...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2021-01-01
|
| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2020.600960/full |
| _version_ | 1818962681930973184 |
|---|---|
| author | Dayong Wang Yujun Yang |
| author_facet | Dayong Wang Yujun Yang |
| author_sort | Dayong Wang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T12:33:12Z |
| format | Article |
| id | doaj.art-14197e2d5cb04120aa0b81ea5230b8ba |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-20T12:33:12Z |
| publishDate | 2021-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-14197e2d5cb04120aa0b81ea5230b8ba2022-12-21T19:40:40ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-01-01810.3389/fphy.2020.600960600960Resistance Distances in Linear Polyacene GraphsDayong Wang0Yujun Yang1Business School, Hohai University, Nanjing, ChinaSchool of Mathematics and Information Sciences, Yantai University, Yantai, ChinaThe 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.https://www.frontiersin.org/articles/10.3389/fphy.2020.600960/fullhexagonal latticelocal rulespolyacene graphresistance distancecircuit reduction |
| spellingShingle | Dayong Wang Yujun Yang Resistance Distances in Linear Polyacene Graphs Frontiers in Physics hexagonal lattice local rules polyacene graph resistance distance circuit reduction |
| title | Resistance Distances in Linear Polyacene Graphs |
| title_full | Resistance Distances in Linear Polyacene Graphs |
| title_fullStr | Resistance Distances in Linear Polyacene Graphs |
| title_full_unstemmed | Resistance Distances in Linear Polyacene Graphs |
| title_short | Resistance Distances in Linear Polyacene Graphs |
| title_sort | resistance distances in linear polyacene graphs |
| topic | hexagonal lattice local rules polyacene graph resistance distance circuit reduction |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2020.600960/full |
| work_keys_str_mv | AT dayongwang resistancedistancesinlinearpolyacenegraphs AT yujunyang resistancedistancesinlinearpolyacenegraphs |