Work

Interval Edge-colorings of Trees With Restrictions on the Edges

Year: 2021
Type: article
Abstract: An edge-coloring of a graph $G$ with consecutive integers $c_1,\ldots,c_t$ 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. A graph $G$ is interval colorable, if it has an interval t-coloring for some positive integer $t$. In this paper, we consider the case, where there are restrictions on the edges of the tree and provide a polynomial algorithm for checking interval colorability that satisfies those restrictions.
Language: English
Open Access status: hybrid
OpenAlex ID: W3194807151
FWCI: 0.187
Cites: 14
Cited by: 1
Related to: 10