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math.CO2026
Every cubic graph has four total dominating sets covering each vertex at most twice
Hyemin Kwon, Boram Park, Yoshio Sano
In 2018, Goddard and Henning conjectured that every cubic graph has four total dominating sets covering each vertex at most twice, and asked the analogous question for transversals…
math.CO2026
Det-extremal cubic graphs and the total domatic number
Myungho Choi, Hyemin Kwon, Boram Park
A graph is det-extremal if for its adjacency matrix . Det-extremal cubic bipartite graphs arise in the study of Pólya's permane…