Debojyoti Bhattacharya

activity

20232026

collaborators

7 papers

math.AG2026

On the classification of polarized surfaces with weakly Ulrich or initialized aCM tangent bundles

Debojyoti Bhattacharya, Ozhan Genc, Angelo Felice Lopez

Counterexamples to the Eisenbud-Schreyer conjecture on the existence of Ulrich bundles have appeared recently (see Anghel [A1] and the third author [Lo]). As weakly Ulrich bundles…

math.AG2026

Ulrich bundles on smooth toric threefolds with Picard number $2$

Debojyoti Bhattacharya, Francesco Malaspina

In this paper, we study Ulrich bundles on smooth toric threefolds with Picard number $2$ , namely $P (O_{P^{2}} (a_{0}) \oplus O_{P^{2}} (a_{1}))$ …

math.CO2025

Liar's vertex-edge domination in unit disk graph

Debojyoti Bhattacharya, Subhabrata Paul

Let $G = (V, E)$ be a simple undirected graph. A closed neighbourhood of an edge $e = uv$ between two vertices $u$ and $v$ of $G$ , denoted by $N_{G} [e]$ , is the set of vertices in the ne…

math.CO2025

Liar's vertex-edge domination in subclasses of chordal graphs

Debojyoti Bhattacharya, Subhabrata Paul

Let $G = (V, E)$ be an undirected graph. The set $N_{G} [x] = {y \in V ∣ x y \in E} \cup {x}$ is called the closed neighbourhood of a vertex $x \in V$ and for an edge $e = x y \in E$ , the closed…

math.AG2024

$ℓ$ -away ACM line bundles on a nonsingular cubic surface

Debojyoti Bhattacharya, A. J. Parameswaran, Jagadish Pine

Let $X \subset P^{3}$ be a nonsingular cubic hypersurface. Faenzi (\cite{F}) and later Pons-Llopis and Tonini (\cite{PLT}) have completely characterized ACM line bundles over…

math.CO2023

On $k$ -vertex-edge domination of graph

Debojyoti Bhattacharya, Subhabrata Paul

Let $G = (V, E)$ be a simple undirected graph. The open neighbourhood of a vertex $v$ in $G$ is defined as $N_{G} (v) = {u \in V ∣ uv \in E}$ ; whereas the closed neighbourhood is defined…

cs.DS2023

Algorithmic study on liar's vertex-edge domination problem

Debojyoti Bhattacharya, Subhabrata Paul

Let $G = (V, E)$ be a graph. For an edge $e = x y \in E$ , the closed neighbourhood of $e$ , denoted by $N_{G} [e]$ or $N_{G} [x y]$ , is the set $N_{G} [x] \cup N_{G} [y]$ . A vertex set $L \subseteq V$ is…

On the classification of polarized surfaces with weakly Ulrich or initialized aCM tangent bundles

Ulrich bundles on smooth toric threefolds with Picard number 2

Liar's vertex-edge domination in unit disk graph

Liar's vertex-edge domination in subclasses of chordal graphs

ℓ-away ACM line bundles on a nonsingular cubic surface

On k-vertex-edge domination of graph

Algorithmic study on liar's vertex-edge domination problem

Ulrich bundles on smooth toric threefolds with Picard number $2$

$ℓ$ -away ACM line bundles on a nonsingular cubic surface

On $k$ -vertex-edge domination of graph