Author

P. Panigrahi

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Open access Sep 2026

Adjacency spectrum of power graphs of $\mathbb{Z}_m \times \mathbb{Z}_n$

The power graph $\mathscr{P}(G)$ of a group $G$ is defined as the simple graph with vertex set $G$, and two distinct vertices $x$ and $y$ are joined by an edge if and only if either $x= y^k$ or $y= x^k$, $k \in \mathbb{N}$. In this paper, first, we obtain the characteristic polynomial of $\mathscr{P}(\mathbb{Z}_m \time...

Komal Kumari, P. Panigrahi · Journal of Algebra Combinato... · 0 citations

Preprint Sep 2026

Characterization of graphs attaining the maximum signless Laplacian spectral radius under forbidden cycles and theta graphs

Spectral Tur\'an-type problems ask how the absence of prescribed subgraphs constrains the spectral radius of a matrix associated with a graph. Given a family of graphs $\mathcal{F}$, a graph is called $\mathcal{F}$-free if it contains no member of $\mathcal{F}$ as a subgraph. The theta graph $\theta(l_1,\ldots,l_k)$ co...

M. Basunia, P. Panigrahi · 0 citations