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math.CO2022
B-VPG Representation of AT-free Outerplanar Graphs
Sparsh Jain, Sreejith K. Pallathumadam, Deepak Rajendraprasad
A -bend path is a non-self-intersecting polyline in the plane made of at most axis-parallel line segments. B-VPG is the class of graphs which can be represented as int…
math.CO2022
Disjoint Total Dominating Sets in Near-Triangulations
P. Francis, Abraham M. Illickan, Lijo M. Jose +1
We show that every simple planar near-triangulation with minimum degree at least three contains two disjoint total dominating sets. The class includes all simple planar triangulati…