3 papers
math.CO2022
Orientably-Regular -Maps and Regular -Maps
Xiaogang Li, Yao Tian
Given a map with underlying graph , if the set of prime divisors of is denoted by , then we call the map a {\it -map}. An orientably-regular (r…
math.CO2022
Hamilton Cycles In Primitive Graphs of Order
Shaofei Du, Yao Tian, Hao Yu
After long term efforts, it was recently proved in \cite{DKM2} that except for the Peterson graph, every connected vertex-transitive graph of order has a Hamilton cycle, where…
math.CO2022
Orientably-Regular -Maps and Regular -Maps
Shaofei Du, Yao Tian, Xiaogang Li
A map is called a {\it -map} if it has a prime -power vertices. An orientably-regular (resp. A regular ) -map is called {\it solvable} if the group of all orientatio…