2 papers
math.CO2026
On minimal graphs, fixing sets and base size sets for hamiltonian groups
Kirti Sahu, Ranjit Mehatari
A finite non-abelian group is hamiltonian if all of its subgroups are normal. We compute the minimal orders of graphs having a hamiltonian group as their automorphism group. La…
math.CO2025
Spectral properties of -graphs
Santanu Mandal, Ranjit Mehatari
Assumed to be undirected, simple, and connected are all of the graphs in this study, and adjacency matrix serves as the associated matrix. In this paper we show that it is poss…