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math.AG2026

Fano Generalized Bott-Samelson Varieties

Narasimha Chary Bonala, Santosha Pattanayak, Yogendra Singh

The Bott-Samelson varieties provide natural desingularizations of Schubert varieties, and their generalizations, called generalized Bott-Samelson varieties, were constructed by Nic…

math.CO2026

Characterisations of finite groups with exponent via their power graphs

Aditya Singh, Anmol chugh, Yogendra Singh +1

The power graph of a finite group is the graph with vertex set and edge set $E(P(G))=\{uv:\ u,v \in G,\ u \neq v,\ u \in \langle v \rangle \ \text{or}\ v \in \langle…

math.AG2026

The Gromov width of generalized Bott-Samelson manifolds

Narasimha Chary Bonala, Yogendra Singh

We study the Gromov width of smooth generalized Bott-Samelson varieties, a class of projective varieties constructed by Perrin in \cite{Per07} as a generalization of classical Bott…

math.CO2026

Spectral Properties of Power Graphs of Metacyclic Groups

Aditya Singh, Yogendra Singh, Anand Kumar Tiwari

For a group , the associated power graph is defined as the graph whose vertices are the elements of , with two distinct vertices being adjacent if either $u…

math.CO2026

-Spectra of Joined Union Graphs with Applications to Power Graphs of Finite Groups

Aditya Singh, Yogendra Singh, Anand Kumar Tiwari

The \emph{generalized reciprocal distance matrix} of a graph , denoted by , is defined as $RD_α(\mathscr{G})=α\,RT_r(\mathscr{G})+(1-α)\,RD(\mathscr…