3 papers
math.CO2025
Tetrahedron Conjecture in the -norm
Levente Bodnár, Wanfang Chen, Jinghua Deng +5
The famous Tetrahedron Conjecture of Turán from the 1940s asserts that the number of edges in an -vertex -graph without the tetrahedron, the complete -graph on four vertic…
math.CO2025
Toward a rainbow Corrádi--Hajnal Theorem \RNum{1}
Deng Jinghua, Hou Jianfeng, Hu caiyun +1
We study an anti-Ramsey extension of the classical Corrádi--Hajnal Theorem: how many colors are needed to color the complete graph on vertices in order to guarantee a rainbow c…
math.CO2025
Turán density of tight cycles minus one edge in the -norm
Levente Bodnár, Jinghua Deng, Jianfeng Hou +2
The -uniform tight -cycle minus one edge is the -graph on vertices consisting of consecutive triples in the cyclic order. We show that f…