منابع مشابه
Interval edge-colorings of composition of graphs
An edge-coloring of a graph G with consecutive integers c1, . . . , ct is called an interval t-coloring if all colors are used, and the colors of edges incident to any vertex of G are distinct and form an interval of integers. A graph G is interval colorable if it has an interval t-coloring for some positive integer t. The set of all interval colorable graphs is denoted by N. In 2004, Giaro and...
متن کاملInterval edge-colorings of complete graphs
An edge-coloring of a graph G with colors 1, 2, . . . , t is an interval t-coloring if all colors are used, and the colors of edges incident to each vertex of G are distinct and form an interval of integers. A graph G is interval colorable if it has an interval t-coloring for some positive integer t. For an interval colorable graph G, W (G) denotes the greatest value of t for which G has an int...
متن کاملInterval edge-colorings of graph products
An interval t coloring of a graph is a proper edgecoloring of with colors 1, such that at least one edge of G is colored by and the edges incident to each vertex − G G 2, , t ... , 1, 2, , , i i t = ... ( ) v V G ∈ are colored by consecutive colors, where is the degree of the vertex in . In this paper interval edge-colorings of various graph products are investigated. ( ) G d v ( ) G d v v G
متن کاملInterval Edge Colorings of Mobius Ladders
An interval edge t-coloring of a graph G is a proper edge coloring of G with colors 1,2...,t such that at least one edge of G is colored by color i,i=1,2...,t, and the edges incident with each vertex x are colored by d_{G}(x) consecutive colors, where d_{G}(x) is the degree of the vertex x in G. For Mobius ladders the existence of this coloring is proved and all possible numbers of colors in su...
متن کاملInterval cyclic edge-colorings of graphs
A proper edge-coloring of a graph G with colors 1, , t is called an interval cyclic t coloring if all colors are used, and the edges incident to each vertex ( ) v V G are colored with ( ) G d v consecutive colors by modulo t , where ( ) G d v is the degree of the vertex v in G . In this paper some properties of interval cyclic edge-colorings are investigated. Also, we give some bounds for...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2014
ISSN: 0166-218X
DOI: 10.1016/j.dam.2014.04.003