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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Bibliographic Details
Published in:Graphs and combinatorics Vol. 41; no. 6; p. 114
Main Authors: Chen, Wanfang, Lu, Changhong, Yang, Jia-Bao, Yuan, Long-Tu
Format: Journal Article
Language:English
Published: Tokyo Springer Japan 01.12.2025
Springer Nature B.V
Subjects:
Apexes
Combinatorics
Engineering Design
Graph theory
Graphs
Mathematics
Mathematics and Statistics
Original Paper
Turán number
Erdős-Simonovits stability theorem
Wheels
ISSN:0911-0119, 1435-5914
Online Access:Get full text
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0911-0119
1435-5914
DOI:10.1007/s00373-025-02972-z