Game Coloring Number Of Planar Graphs. The coloring number col(G) of a graph G is the smallest integer k such that every subgraph of G has a vertex with degree less than k. Coloring - "A coloring of a simple graph is the assignment of a color to each vertex of the graph such that no two adjacent vertices are assigned For planar graphs the finding the chromatic number is the same problem as finding the minimum number of colors required to color a planar graph.
This parameter provides an upper bound for the game chromatic number of a graph.
A graph coloring is an assignment of labels, called colors, to the vertices of a graph such that no two adjacent vertices share the same color.
Coloring - "A coloring of a simple graph is the assignment of a color to each vertex of the graph such that no two adjacent vertices are assigned For planar graphs the finding the chromatic number is the same problem as finding the minimum number of colors required to color a planar graph. The coloring number col(G) of a graph G is the smallest integer k such that every subgraph of G has a vertex with degree less than k. Coloring Planar Graphs - Intro to Algorithms.