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math.CO2022
A -centered coloring for the grid using colors
Mathew Francis, Drimit Pattanayak
A -centered coloring of a graph , where is a positive integer, is a coloring of the vertices of in such a way that every connected subgraph of either contains a v…
math.CO2022
Bounding threshold dimension: realizing graphic Boolean functions as the AND of majority gates
Mathew C. Francis, Atrayee Majumder, Rogers Mathew
A graph on vertices is a \emph{threshold graph} if there exist real numbers and such that the zero-one solutions of the linear inequality $\sum \…