3 papers
math.CO2025
Monodromy representation of graphs
Kai Yuan, Yan Wang
It is well-known that every vertex-transitive graph admits a representation as a coset graph. In this paper, we extend this construction by introducing monodromy graphs defined thr…
math.CO2025
Cayley hyper-digraphs and Cayley hypermaps
Kai Yuan, Yan Wang
A Cayley hyper-digraph is a directed hypergraph that its automorphism group contains a subgroup acting regularly on vertices and a Cayley hypermap is a hypermap whose automorphism…
math.CO2025
Linear hypermaps--modelling linear hypergraphs on surfaces
Kai Yuan, Qi Wang, Rongquan Feng +1
A hypergraph is linear if each pair of distinct vertices appears in at most one common edge. We say is an associated graph of a linear hypergraph $\mathcal{H}=(V,…