The total chromatic number zt(G) of a graph G is the least number of colors needed to color the vertices and edges of G so that no adjacent vertices or edges receive the same colo...
—Color models are often used for representing object appearance for foreground segmentation applications. The relationships between colors can be just as useful for object select...
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...
— This paper presents a transmission scheduling scheme in sensor networks. Each node is assigned a list of time slots to use for unicast and broadcast communication. The algorith...
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...