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20172022
most citedTurán numbers and anti-Ramsey numbers for short cycles in complete -partite graphs

2 citations · 4 across the 9 of their papers we have counts for

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math.CO2022

Anti-Ramsey numbers for vertex-disjoint triangles

Fangfang Wu, Shenggui Zhang, Binlong Li +1

An edge-colored graph is called rainbow if all the colors on its edges are distinct. Given a positive integer n and a graph G, the anti-Ramsey number ar(n,G) is the maximum number…

math.CO2020★ 2 cited

Turán numbers and anti-Ramsey numbers for short cycles in complete -partite graphs

Chunqiu Fang, Ervin Győri, Chuanqi Xiao +1

We call a -cycle in multipartite, denoted by , if it contains at least one vertex in each part of . The…

math.CO2020★ 1 cited

The anti-Ramsey number of and in the complete -partite graphs

Chunqiu Fang, Ervin Győri, Binlong Li +1

A subgraph of an edge-colored graph is rainbow, if all of its edges have different colors. For a graph and a family of graphs, the anti-Ramsey number $ar(G, \math…

math.CO2020

Largest family without a pair of posets on consecutive levels of the Boolean lattice

Gyula O. H. Katona, Jimeng Xiao

Suppose is an integer. Let be the poset with elements such that and let be th…

math.CO2019

The Turán number of the square of a path

Chuanqi Xiao, Gyula O. H. Katona, Jimeng Xiao +1

The Turán number of a graph H, ex(n,H), is the maximum number of edges in a graph on n vertices which does not have H as a subgraph. Let P_k be the path with k vertices, the square…

math.CO2019

Minimal colorings for properly colored subgraphs in complete graphs

Chunqiu Fang, Ervin Győri, Jimeng Xiao

Let be the maximum number of colors in an edge-coloring of with no properly colored copy of . In this paper, we show that $pr(K_{n}, G)-ex(n, \mathcal{G'}…

math.CO2019

On the anti-Ramsey number of forests

Chunqiu Fang, Ervin Győri, Mei Lu +1

We call a subgraph of an edge-colored graph rainbow subgraph, if all of its edges have different colors. The anti-Ramsey number of a graph in a complete graph , denoted…

math.CO2019★ 1 cited

On forbidden poset problems in the linear lattice

Jimeng Xiao, Casey Tompkins

In this note, we determine the maximum size of a -free family in the lattice of vector subspaces of a finite vector space both in the non-induced case as well as…

math.CO2017

A Common Generalization to Theorems on Set Systems with -intersections

Jiuqiang Liu, Shenggui Zhang, Jimeng Xiao

In this paper, we provide a common generalization to the well-known Erdős-Ko-Rado Theorem, Frankl-Wilson Theorem, Alon-Babai-Suzuki Theorem, and Snevily Theorem on set systems with…