Dipak Kumar Pradhan

activity

20202022

most citedComparing symbolic powers of edge ideals of weighted oriented graphs

10 citations · 11 across the 3 of their papers we have counts for

collaborators

5 papers

math.AC2022

Properties of symbolic powers of edge ideals of weighted oriented graphs

Mousumi Mandal, Dipak Kumar Pradhan

Let $D$ be a weighted oriented graph and $I (D)$ be its edge ideal. We provide one method to find all the minimal generators of $I_{\subseteq C}$ , where $C$ is a maximal strong…

math.AC2022★ 1 cited

Symbolic defects of edge ideals of unicyclic graphs

Mousumi Mandal, Dipak Kumar Pradhan

We introduce the concept of minimum edge cover for an induced subgraph in a graph. Let $G$ be a unicyclic graph with a unique odd cycle and $I = I (G)$ be its edge ideal. We compute t…

math.AC2021★ 10 cited

Comparing symbolic powers of edge ideals of weighted oriented graphs

Mousumi Mandal, Dipak Kumar Pradhan

Let $D$ be a weighted oriented graph and $I (D)$ be its edge ideal. If $D$ contains an induced odd cycle of length $2 n + 1$ , under certain condition we show that $ {I(D)}^{(n+1)} \neq…

math.CO2020

Regularity in weighted oriented graphs

Mousumi Mandal, Dipak Kumar Pradhan

Let $D$ be a weighted oriented graph with the underlying graph $G$ and $I (D), I (G)$ be the edge ideals corresponding to $D$ and $G$ respectively. We show that the regularity of ed…

math.AC2020

Symbolic powers in weighted oriented graphs

Mousumi Mandal, Dipak Kumar Pradhan

Let $D$ be a weighted oriented graph with the underlying graph $G$ when vertices with non-trivial weights are sinks and $I (D), I (G)$ be the edge ideals corresponding to $D$ and $G…