| Title: | Degree-balanced decompositions of cubic graphs |
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| Authors: | ID Lužar, Borut (Author)
ID Przybyło, Jakub (Author)
ID Soták, Roman (Author) |
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| Files: |  RAZ_Luzar_Borut_2025.pdf (586,76 KB)
MD5: A8402C71668AFEEE4271984B3F6B3C9A
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FIŠ - Faculty of Information Studies in Novo mesto
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| Abstract: | We show that every cubic graph on ▫$n$▫ vertices contains a spanning subgraph, in which the number of vertices of each degree deviates from ▫$\frac{n}{4}$▫ by at most ▫$\frac{1}{2}$▫, up to three exceptions. This resolves the conjecture of Alon and Wei ({\em Irregular subgraphs, Combin. Probab. Comput. 32(2) (2023), 269--283}) for cubic graphs. |
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| Keywords: | irregular subgraph, repeated degrees, degree-balanced decomposition |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 28.08.2024 |
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| Publication date: | 25.04.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1-10 |
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| Numbering: | Vol. 128, art. no. ǂ104169 |
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| PID: | 20.500.12556/ReVIS-11692  |
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| COBISS.SI-ID: | 236916739 |
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| UDC: | 519.17 |
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| ISSN on article: | 1095-9971 |
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| DOI: | 10.1016/j.ejc.2025.104169 |
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| Note: | Naslov z nasl. zaslona;
Opis vira z dne 23. 5. 2025;
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| Publication date in ReVIS: | 23.05.2025 |
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| Views: | 314 |
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| Downloads: | 1 |
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