| Title: | Resonance graphs and a binary coding of perfect matchings of outerplane bipartite graphs |
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| Authors: | ID Brezovnik, Simon (Author)
ID Tratnik, Niko (Author)
ID Žigert Pleteršek, Petra (Author) |
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| Files: |  RAZ_Brezovnik_Simon_2023.pdf (427,03 KB)
MD5: F8668E5249DE697D36C83AB26FF789AF
 http://dx.doi.org/10.46793/match.90-2.453B
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | The aim of this paper is to investigate resonance graphs of $2$-connected outerplane bipartite graphs, which include various families of molecular graphs. Firstly, we present an algorithm for a binary coding of perfect matchings of these graphs. Further, $2$-connected outerplane bipartite graphs with isomorphic resonance graphs are considered. In particular, it is shown that if two $2$-connected outerplane bipartite graphs are evenly homeomorphic, then its resonance graphs are isomorphic. Moreover, we prove that for any $2$-connected outerplane bipartite graph $G$ there exists a catacondensed even ring systems $H$ such that the resonance graphs of $G$ and $H$ are isomorphic. We conclude with the characterization of $2$-connected outerplane bipartite graphs whose resonance graphs are daisy cubes. |
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| Keywords: | graph theory, resonance graphs, bipartite graphs |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 13.02.2023 |
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| Publication date: | 24.04.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 453-468 |
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| Numbering: | Letn. 90, št. 2 |
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| PID: | 20.500.12556/DKUM-87532  |
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| UDC: | 519.17 |
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| ISSN on article: | 0340-6253 |
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| COBISS.SI-ID: | 150211587 |
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| DOI: | 10.46793/match.90-2.453B |
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| Publication date in DKUM: | 10.12.2024 |
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| Views: | 171 |
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| Downloads: | 24 |
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| Metadata: |    |
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| Categories: | Misc.
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