$(2,4)$-Colorability of Planar Graphs Excluding $3$-, $4$-, and $6$-Cycles

Pongpat Sittitrai, Wannapol Pimpasalee, Kittikorn Nakprasit

A defective $k$-coloring is a coloring on the vertices of a graph using colors $1,2,\dots ,k$ such that adjacent vertices may share the same color. A $(d_1,d_2)$-\emph{coloring} o…