Discrete Mathematics and Combinatorics, Mathematics
4
Scopus Publications
15
Scholar Citations
2
Scholar h-index
Scopus Publications
Generalized distance spectral radius of some t-partitioned transmission regular graphs Aditi Howlader, Pratima Panigrahi Asian European Journal of Mathematics, 2025 Let [Formula: see text] be an [Formula: see text]-vertex connected graph with the distance matrix [Formula: see text] and the diagonal matrix of transmissions [Formula: see text]. The generalized distance matrix of a connected graph [Formula: see text] is [Formula: see text], where [Formula: see text], [Formula: see text]. Through this matrix one can study distance, distance Laplacian, distance signless Laplacian, and [Formula: see text]- spectra of [Formula: see text] in a unified way. A simple connected graph [Formula: see text] is called [Formula: see text]-partitioned transmission regular if the vertex set of [Formula: see text] can be partitioned as [Formula: see text] such that for any pair of indices [Formula: see text] (not necessarily distinct) in [Formula: see text] and [Formula: see text], [Formula: see text] is constant. In this paper, for the spider graph [Formula: see text] and the radar graph [Formula: see text], we find matrices of order [Formula: see text] (quotient matrices) corresponding to [Formula: see text] and [Formula: see text] such that the largest eigenvalues of these matrices are generalized distance spectral radius of [Formula: see text] and [Formula: see text], respectively. Moreover, we determine the full [Formula: see text]-spectrum of [Formula: see text] and [Formula: see text] (wheel graph).
Generalized distance spectral radius of some -partitioned transmission regular graphs A Howlader, P Panigrahi Asian-European Journal of Mathematics 18 (09), 2550027 , 2025 2025
The full P-vertex problem for unicyclic graphs A Howlader, PR Raickwade, KC Sivakumar Linear Algebra and its Applications 713, 74-89 , 2025 2025 Citations: 1
On the distance spectrum of generalized balanced trees A Howlader, P Panigrahi Linear and Multilinear Algebra 72 (9), 1497-1522 , 2024 2024
On the distance spectrum of minimal cages and associated distance biregular graphs A Howlader, P Panigrahi Linear Algebra and Its Applications 636, 115-133 , 2022 2022 Citations: 9
Distance and Generalized Distance Spectra of Some Graphs A Howlader IIT Kharagpur , 2022 2022 Citations: 2
Distance and distance signless Laplacian spectrum of some k-partitioned transmission regular graphs A Howlader, P Panigrahi Indian J Discrete Math 6 (2), 141-163 , 2020 2020 Citations: 3
MOST CITED SCHOLAR PUBLICATIONS
On the distance spectrum of minimal cages and associated distance biregular graphs A Howlader, P Panigrahi Linear Algebra and Its Applications 636, 115-133 , 2022 2022 Citations: 9
Distance and distance signless Laplacian spectrum of some k-partitioned transmission regular graphs A Howlader, P Panigrahi Indian J Discrete Math 6 (2), 141-163 , 2020 2020 Citations: 3
Distance and Generalized Distance Spectra of Some Graphs A Howlader IIT Kharagpur , 2022 2022 Citations: 2
The full P-vertex problem for unicyclic graphs A Howlader, PR Raickwade, KC Sivakumar Linear Algebra and its Applications 713, 74-89 , 2025 2025 Citations: 1
Generalized distance spectral radius of some -partitioned transmission regular graphs A Howlader, P Panigrahi Asian-European Journal of Mathematics 18 (09), 2550027 , 2025 2025
On the distance spectrum of generalized balanced trees A Howlader, P Panigrahi Linear and Multilinear Algebra 72 (9), 1497-1522 , 2024 2024