Proof of a conjecture of Xiao and Zamora
A wheel, defined by Tutte, is the graph obtained from a circle by adding one new vertex and joining this vertex to all vertices of the circle. We determine the maximum number of edges in a graph which does not contain vertex-disjoint wheels. This confirms a conjecture posed by Xiao and Zamora in a s...
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| Published in: | Graphs and combinatorics Vol. 41; no. 6; p. 114 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Tokyo
Springer Japan
01.12.2025
Springer Nature B.V |
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| ISSN: | 0911-0119, 1435-5914 |
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| Abstract | A wheel, defined by Tutte, is the graph obtained from a circle by adding one new vertex and joining this vertex to all vertices of the circle. We determine the maximum number of edges in a graph which does not contain vertex-disjoint wheels. This confirms a conjecture posed by Xiao and Zamora in a stronger form. |
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| AbstractList | A wheel, defined by Tutte, is the graph obtained from a circle by adding one new vertex and joining this vertex to all vertices of the circle. We determine the maximum number of edges in a graph which does not contain vertex-disjoint wheels. This confirms a conjecture posed by Xiao and Zamora in a stronger form. |
| ArticleNumber | 114 |
| Author | Yuan, Long-Tu Lu, Changhong Yang, Jia-Bao Chen, Wanfang |
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| Cites_doi | 10.1016/j.disc.2017.10.003 10.1007/s00373-012-1212-9 10.1002/jgt.22727 10.1016/j.disc.2021.112570 |
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| References | 2972_CR1 T Dzido (2972_CR5) 2013; 29 M Bataineh (2972_CR3) 2015; 8 JW Moon (2972_CR2) 1965; 16 C Xiao (2972_CR8) 2021; 344 T Dzido (2972_CR4) 2018; 341 P Erdős (2972_CR6) 1966; 1968 M Simonovits (2972_CR7) 1968 L Yuan (2972_CR9) 2021; 98 |
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| Snippet | A wheel, defined by Tutte, is the graph obtained from a circle by adding one new vertex and joining this vertex to all vertices of the circle. We determine the... |
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| Title | Proof of a conjecture of Xiao and Zamora |
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