R. K. Nath

activity

20242026

collaborators

10 papers

math.RA2026

Minimum second neighborhood degree energy of commuting graphs of finite rings

Payal Tak, Jutirekha Dutta, Rajat Kanti Nath

In this paper, we compute minimum second neighborhood degree spectrum and energy of commuting graphs of certain finite non-commutative rings. In particular, we consider non-commuta…

math.GR2026

Engel and co-Engel graphs of finite groups

Peter J. Cameron, Rishabh Chakraborty, Rajat Kanti Nath +1

Let $G$ be a group. Associate a directed graph $E (G)$ (called the Engel digraph of $G$ ) with $G$ whose vertex set is $G$ , with an arc $(x, y)$ if $[y,_{k} x] = 1$ for some posi…

math.CO2026

Certain topological indices and spectral properties of SGB-graphs of finite cyclic groups

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let $L (G)$ be the set of all subgroups of a group $G$ . The subgroup generating bipartite graph $B (G)$ defined on $G$ is a bipartite graph whose vertex set is the union of…

math.GR2026

Various spectra and energies of subgroup generating bipartite graph

Shrabani Das, Ahmad Erfanian, Rajat Kanti Nath

Let $L (G)$ be the set of all subgroups of a group $G$ . The subgroup generating bipartite graph $B (G)$ defined on $G$ is a bipartite graph whose vertex set is partitioned…

math.GR2025

Super commuting graphs of finite groups and their Zagreb indices

Shrabani Das, Rajat Kanti Nath

Let $B$ be an equivalence relation defined on a finite group $G$ . The $B$ super commuting graph on $G$ is a graph whose vertex set is $G$ and two distinct vertices $g$ and $h$ are…

math.CO2025

Main functions and the spectrum of super graphs

G. Arunkumar, Peter J. Cameron, R. Ganeshbabu +1

Let A be a graph type and B an equivalence relation on a group $G$ . Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ …