Jounglag Lim

activity

20232026

collaborators

4 papers

math.CO2026

Characterization of Well-Totally Dominated Trees

Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff +8

Let $G$ be a graph with no isolated vertices. A set of vertices $S$ is a total dominating set (TDS) if every vertex in $G$ is adjacent to at least one vertex in $S$ . We say $G$ is…

math.AC2026

Geometrically vertex decomposable open neighborhood ideals

Jounglag Lim

In this paper, we prove that the open neighborhood ideal of a TD-unmixed tree is geometrically vertex decomposable. This result implies that the associated Stanley-Reisner complex…

math.AC2025

Open Neighborhood Ideals of Well-Totally Dominated Trees are Cohen-Macaulay

Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff

We introduce and investigate the open neighborhood ideal $N (G)$ of a finite simple graph $G$ . We describe the minimal primary decomposition of $N (G)$ in terms o…

math.CO2023

Pull-Push Method: A new approach to Edge-Isoperimetric Problems

Sergei L. Bezrukov, Nikola Kuzmanovski, Jounglag Lim

We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our ma…