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Polynomial minimum degree stability for -chromatic graphs
Yisai Xue
Let be a fixed 3-chromatic graph, and let be the smallest integer such that there is no homomorphism . For every , we prove t…
Abundance of Unique Subhypergraphs
Xichao Shu, Zhuo Wu, Yisai Xue
Given -uniform hypergraphs and , we say that is a unique subhypergraph of if contains exactly one subhypergraph isomorphic to . For an -vertex -graph…
A discrepancy dichotomy for 1-factorizations of signed complete bipartite graphs
Yisai Xue, Yacong Zhou
Given a signing of the complete bipartite graph, when does admit a -factorization in which every perfect matching has discrepancy boun…
On the chromatic profile for tripartite graphs and beyond
Bo Ning, Jian Wang, Yisai Xue
Let be a graph and let denote the infimum of such that every -free graph with minimum degree at least is -colorable. The \textit{chromatic profile} of…
Chromatic thresholds for pairs of graphs
Jun Gao, Hong Liu, Zhuo Wu +1
The chromatic threshold of a graph is the minimum-degree density above which every -free graph has bounded chromatic number. We study a two-color Ramsey analogue: for graphs…