3 papers
math.CO2016
Defective 2-colorings of planar graphs without 4-cycles and 5-cycles
Pongpat Sittitrai, Kittikorn Nakprasit
Let be a graph without 4-cycles and 5-cycles. We show that the problem to determine whether is -colorable is NP-complete for each positive integer Moreover, we…
math.CO2016
Bounds for the game coloring number of planar graphs with a specific girth
Keaitsuda Maneeruk Nakprasit, Kittikorn Nakprasit
Let be the game coloring number of a given graph Define the game coloring number of a family of graphs as ${\rm col_g}(\mathcal{H}) := \max\{{\r…
math.CO2012
Equitable Colorings of Planar Graphs without Short Cycles
Keaitsuda Nakprasit, Kittikorn Nakprasit
An \emph{equitable coloring} of a graph is a proper vertex coloring such that the sizes of every two color classes differ by at most 1. Chen, Lih, and Wu conjectured that every con…