2010Unpublished venueRequires access

Interval total colorings of bipartite graphs

Petros A. Petrosyan, Ani S. Shashikyan, Arman Yu. Torosyan

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Abstract

An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color G 2, , t… G, 1, 2,,i i t = …, and the edges incident to each vertex together with are colored by consecutive colors, where is the degree of the vertex in. In this paper interval total colorings of bipartite graphs are investigated. ()v V G∈ v ( ) 1Gd v +

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An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color G 2, , t… G, 1, 2,,i i t = …, and the edges incident to each vertex together with are colored by consecutive colors, where is the degree of the vertex in. In this paper interval total colorings of bipartite graphs are investigated. ()v V G∈ v ( ) 1Gd v +

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Available abstract

An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color G 2, , t… G, 1, 2,,i i t = …, and the edges incident to each vertex together with are colored by consecutive colors, where is the degree of the vertex in. In this paper interval total colorings of bipartite graphs are investigated. ()v V G∈ v ( ) 1Gd v +

Key concepts: Combinatorics, Total coloring, Brooks' theorem, Mathematics, Edge coloring, Complete coloring, Multipartite, Bipartite graph

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