A proof of Frankl–Kupavskii's conjecture on edge‐union condition-Reference-Cited by-同舟云学术

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A proof of Frankl–Kupavskii's conjecture on edge‐union condition

Published:2024-01-07 Issue:1 Volume:106 Page:198-208
ISSN:0364-9024
Container-title:Journal of Graph Theory
language:en
Short-container-title:Journal of Graph Theory

Author:

Lu Hongliang¹,Zhang Xuechun¹

Affiliation:

1. School of Mathematics and Statistics Xi'an Jiaotong University Xi'an Shaanxi People's Republic of China

Abstract

AbstractA 3‐graph is if for any edges , . Frankl and Kupavskii proposed the following conjecture: For any 3‐graph with vertices, if is , then In this paper, we confirm Frankl and Kupavskii's conjecture.

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/jgt.23073

Reference13 articles.

1. On the size of graphs with complete-factors

2. Erdös–Ko–Rado Theorem—22 Years Later

3. A problem on independent r $r$‐tuples;Erdős P.;Ann. Univ. Sci. Budapest,1965

4. INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS

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