2 papers
math.CO2026
Hamilton Cycles in Semisymmetric Graphs
Shaofei Du, Kai Yuan
In light of Lovász's longstanding question on the existence of Hamilton paths in vertex-transitive graphs, this paper considers a natural variant: what if vertex-transitivity is r…
math.CO2025
Regular embedding of simple hypergraphs
Yanhong Zhu, Kai Yuan
Regular hypermaps with underlying simple hypergraphs are analysed. We obtain an algorithm to classify the regular embeddings of simple hypergraphs with given order, and determine t…