| 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: |  PDF - Presentation file, download (433,15 KB)
MD5: A7EADAC2E2C16245FF5B441F1C7FB935
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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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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| Publication date: | 01.01.2023 |
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| Year of publishing: | 2023 |
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| Number of pages: | str. 453-468 |
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| Numbering: | Vol. 90, no. 2 |
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| PID: | 20.500.12556/DiRROS-18443  |
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| UDC: | 519.17 |
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| ISSN on article: | 0340-6253 |
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| DOI: | 10.46793/match.90-2.453B |
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| COBISS.SI-ID: | 150211587 |
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| Publication date in DiRROS: | 18.03.2024 |
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| Views: | 454 |
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| Downloads: | 138 |
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| Metadata: |    |
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