EDGE PROPERTIES OF THE 4-VALENT MULTI 3-GON GRAPHS Jeong, Dal-Young;
In a 4-valent multi 3-gon graph, every cut-through curve forms a simple closed circuit. Hence it is a weak arrangement of simple curves that is defined by Branko Grunbaum. In this paper, we study the edge properties of the 4-valent multi 3-gon graphs from the point of view of arrangement, and we show that they are 3 colorable.
arrangement of curves;multi 3-gon graphs;vertex coloring;
Graph theory with applications, 1977.
Regional Conference Series in Mathematics, 1972.