3 papers
math.CO2026
An Ore-type condition for -tilings in graphs
Yuping Gao, Yilin Guo, Guanghui Wang +1
A graph admits an -tiling if it contains a collection of vertex-disjoint copies of . In this paper, we confirm a conjecture proposed by Kühn, Osthus, and Treglown by sho…
math.CO2026
Extremal Laplacian energy of -free digraphs
Xiuwen Yang, Lin-Peng Zhang
The Laplacian energy of a digraph is defined as , where are the eigenvalues of the Laplacian matrix of . A (di)graph is said to be -free i…
math.CO2025
Perfect tilings with the generalised triangle in -graphs
Weichan Liu, Xiangxiang Nie, Donglei Yang +1
Denote by the generalised triangle, a -uniform hypergraph on vertex set with three edges , and $\{k,k+1,\dots,…