24 citations · 71 across the 11 of their papers we have counts for
14 papers
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…
Laplacian eigenvalues and eigenspaces of cographs generated by finite sequence
Santanu Mandal, Ranjit Mehatari, Zoran Stanic
In this paper we consider particular graphs defined by , where is even, is a complete graph o…
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…
On chordality of the power graph of finite groups
Pallabi Manna, Ranjit Mehatari
A graph is called chordal if it forbids induced cycles of length 4 or more. In this paper, we attempt to identify the non-nilpotent groups whose power graph is a chordal graph (thi…
On the spectrum and energy of Seidel matrix for chain graphs
Santanu Mandal, Ranjit Mehatari, Kinkar Chandra Das
We study various spectral properties of the Seidel matrix of a connected chain graph. We prove that is always an eigenvalue of and all other eigenvalues of can hav…
On finite groups whose power graph is a cograph
Peter J. Cameron, Pallabi Manna, Ranjit Mehatari
A -free graph is called a cograph. In this paper we partially characterize finite groups whose power graph is a cograph. As we will see, this problem is a generalization of th…