| Title: | Classification of cubic tricirculant nut graphs |
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| Authors: | ID Damnjanović, Ivan (Author)
ID Bašić, Nino (Author)
ID Pisanski, Tomaž (Author)
ID Žitnik, Arjana (Author) |
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| Files: |  PDF - Presentation file, download (491,37 KB)
MD5: 88B8811DDADE9E3E292312B5467A8B1F
 URL - Source URL, visit https://www.combinatorics.org/ojs/index.php/eljc/article/view/v31i2p31
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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: | A nut graph is a simple graph whose adjacency matrix has the eigenvalue zero with multiplicity one such that its corresponding eigenvector has no zero entries. It is known that there exist no cubic circulant nut graphs. A bicirculant (resp. tricirculant) graph is defined as a graph that admits a cyclic group of automorphisms having two (resp. three) orbits of vertices of equal size. We show that there exist no cubic bicirculant nut graphs and we provide a full classification of cubic tricirculant nut graphs. |
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| Keywords: | bicirculant, tricirculant, eigenvalue |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | str. 1-32 |
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| Numbering: | Vol. 31, iss. 2, article no. P2.31 |
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| PID: | 20.500.12556/DiRROS-21311  |
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| UDC: | 519.17 |
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| ISSN on article: | 1077-8926 |
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| DOI: | 10.37236/12668 |
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| COBISS.SI-ID: | 217572099 |
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| Note: |
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| Publication date in DiRROS: | 24.01.2025 |
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| Views: | 528 |
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| Downloads: | 284 |
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| Metadata: |    |
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