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math.CO2026
Characterization of Well-Totally Dominated Trees
Jounglag Lim, James Gossell, Keri Ann Sather-Wagstaff +8
Let be a graph with no isolated vertices. A set of vertices is a total dominating set (TDS) if every vertex in is adjacent to at least one vertex in . We say is…
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…