Debojyoti Bhattacharya

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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.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…

Liar's vertex-edge domination in unit disk graph

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

On k-vertex-edge domination of graph

On $k$ -vertex-edge domination of graph