Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
420110 | Discrete Applied Mathematics | 2011 | 7 Pages |
Abstract
In 1988, Golumbic and Hammer characterized the powers of cycles, relating them to circular arc graphs. We extend their results and propose several further structural characterizations for both powers of cycles and powers of paths. The characterizations lead to linear-time recognition algorithms of these classes of graphs. Furthermore, as a generalization of powers of cycles, powers of paths, and even of the well-known circulant graphs, we consider distance graphs. While the colorings of these graphs have been intensively studied, the recognition problem has been so far neglected. We propose polynomial-time recognition algorithms for these graphs under additional restrictions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Min Chih Lin, Dieter Rautenbach, Francisco Juan Soulignac, Jayme Luiz Szwarcfiter,