Showing 2023Show all
2 papers · 1 filter
math.CO2023
The hat guessing number of random graphs with constant edge-chosen probability
Lanchao Wang, Yaojun Chen
Let be a graph with vertices. The {\em hat guessing number} of is defined in terms of the following game: There are players and one opponent. The opponent will wear…
math.CO2023
Connectedness of friends-and-strangers graphs of complete bipartite graphs and others
Lanchao Wang, Junying Lu, Yaojun Chen
Let and be any two graphs of order . The friends-and-strangers graph of and is a graph with vertex set consisting of all bijections $σ:V(X) \m…