R. R. Kamalian, “On a Number of Colors in Cyclically Interval Edge Colorings of Trees,” Research Report LiTH-MAT-R-2010/09-SE, Linkoping University, 2010.

has been cited by the following article:

• TITLE: On a Number of Colors in Cyclically Interval Edge Colorings of Simple Cycles

  AUTHORS: Rafayel R. Kamalian

  KEYWORDS: Proper Edge Coloring; Cyclically Interval Coloring; Simple Cycle

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.3 No.1, January 29, 2013

  ABSTRACT: A proper edge t-coloring of a graph G is a coloring of its edges with colors 1,2,???,t such that all colors are used, and no two adjacent edges receive the same color. A cyclically interval t-coloring of a graph G is a proper edge t-coloring of G such that for each its vertex x, either the set of colors used on edges incident to x or the set of colors not used on edges incident to x forms an interval of integers. For an arbitrary simple cycle, all possible values of t are found, for which the graph has a cyclically interval t-coloring.