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math.CO2024
An El-Zahar Type Theorem in -graphs under Codegree Condition
Yangyang Cheng, Mengjiao Rao, Guanghui Wang +1
A -uniform loose cycle, denoted by , is a -graph on vertices whose vertices can be arranged cyclically so that each hyperedge consists of three consecutive vertices,…
math.CO2024
Transversal Hamilton paths and cycles
Yangyang Cheng, Wanting Sun, Guanghui Wang +1
Given a collection of graphs on the common vertex set of size , an -edge graph on the same vertex set is transversal in $\mat…
math.CO2024
Stability of transversal Hamilton cycles and paths
Yangyang Cheng, Katherine Staden
Given graphs all on a common vertex set and a graph with , a copy of is \emph{transversal} or \emph{rainbow} if it contains one edge from each $G…