P. Panigrahi

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20212026

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9 papers · 1 filter

math.CO2026

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

Mainak Basunia, Pratima Panigrahi

Spectral Turán-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 $F$ ,…

math.CO2026

$A_{α}$ -Spectra of $Q$ - and $T$ -Join Graphs with Applications to Cospectral Constructions

Mainak Basunia, Pratima Panigrahi

For $α \in [0, 1]$ , the $A_{α}$ -matrix of a graph $G$ is defined by $A_{α} (G) = α D (G) + (1 - α) A (G)$ , where $A (G)$ and $D (G)$ denote the adjacency matrix and the diagonal degree matrix o…

math.CO2026

Exploring new upper and lower bounds for the $A_{α}$ -energy of graphs

Mainak Basunia, Pratima Panigrahi

Let $G$ be a graph on $n$ vertices and $m$ edges. For $α \in [0, 1]$ , the $A_{α}$ -matrix of $G$ is defined as $A_{α} (G) = α D (G) + (1 - α) A (G)$ , where $A (G)$ is the adjacency matrix and $…

math.CO2026

Characterizing tricyclic graphs with pendant vertices having largest $A_{α}$ -spectral radius

Mainak Basunia, Pratima Panigrahi

For a graph $G$ with adjacency matrix $A (G)$ and degree diagonal matrix $D (G)$ , the $A_{α}$ -matrix of $G$ is defined as \begin{equation*} A_α(G) = αD(G) + (1- α) A(G), \text{ for any…

math.CO2025

A method to optimize antipodal coloring span of graphs and its application

Kush Kumar, Pratima Panigrahi

In this article, we study radio $k$-colorings of simple connected graphs $G$ with diameter $d$, where a radio $k$-coloring $g$ assigns non-negative integers to $V(G)$ (…

math.CO2024

A new generalization of Fielder's lemma with applications

Komal Kumari, Pratima Panigrahi

Very recently Ma and Wu \cite{wu2024generalization} obtained a generalization of Fielder's lemma and applied to find adjacency, Laplacian, and signless Laplacian spectra of $P_{n} -$ …

math.CO2024

Characteristic Polynomial of Power Graphs on Direct Product of Any Two Finite Cyclic Groups

Komal Kumari, Pratima Panigrahi

The power graph $P (G)$ of a group $G$ is defined as the simple graph with vertex set $G$ , and where two distinct vertices $x$ and $y$ are joined by an edge if and only if…

math.CO2023

Universal adjacency spectrum of (proper) power graphs and their complements on some groups

Komal Kumari, Pratima Panigrahi

The power graph $P (G)$ of a group $G$ is an undirected graph with all the elements of $G$ as vertices and where any two vertices $u$ and $v$ are adjacent if and only if $…

math.CO2021

On the distance spectrum of minimal cages and associated distance biregular graphs

Aditi Howlader, Pratima Panigrahi

A $(k, g)$ -cage is a $k$ -regular simple graph of girth $g$ with minimum possible number of vertices. In this paper, $(k, g)$ -cages which are Moore graphs are referred as minimal $(k,…

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

Aα​-Spectra of Q- and T-Join Graphs with Applications to Cospectral Constructions

Exploring new upper and lower bounds for the Aα​-energy of graphs

Characterizing tricyclic graphs with pendant vertices having largest Aα​-spectral radius

A method to optimize antipodal coloring span of graphs and its application

A new generalization of Fielder's lemma with applications

Characteristic Polynomial of Power Graphs on Direct Product of Any Two Finite Cyclic Groups

Universal adjacency spectrum of (proper) power graphs and their complements on some groups

On the distance spectrum of minimal cages and associated distance biregular graphs

$A_{α}$ -Spectra of $Q$ - and $T$ -Join Graphs with Applications to Cospectral Constructions

Exploring new upper and lower bounds for the $A_{α}$ -energy of graphs

Characterizing tricyclic graphs with pendant vertices having largest $A_{α}$ -spectral radius