2013/11/09 by Petros A. Petrosyan, Petrosyan, Petros A.
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Graph Labeling and Dimension Problems #cs.DM #graph theory and CDMA systems #math.CO
paper · pdf · doi:10.48550/arxiv.1311.2210
4 pages
arxiv created 2013/11/17 · arxiv updated 2013/11/19
An edge-coloring of a multigraph G with colors 1,…,t 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. In this note, we show that all Eulerian multigraphs with an odd number of edges have no interval coloring. We also give some methods for constructing of interval non-edge-colorable Eulerian multigraphs.