A proper edge t-coloring of an undirected, simple, finite, connected 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 any t ∈ N, let Mt be the set of graphs for which there exists a cyclically-interval t-coloring. Examples of bipartite graphs that do not belong to the class S t≥1 Mt are constructed.
oai:noad.sci.am:135802
սեղմել այստեղ՝ կապին հետևելու համար
Institute for Informatics and Automation Problems
11th International Conference on Computer Science and Information Technologies CSIT 2017
Mar 3, 2021
Jul 16, 2020
15
https://noad.sci.am/publication/149329
Հրատարակության անուն | Ամսաթիվ |
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Rafayel R. Kamalian, On the Existence of Bipartite Graphs Which are notCyclically-Interval Colorable | Mar 3, 2021 |