dc.creator | Lin, Min Chih | |
dc.creator | Rautenbach, Dieter | |
dc.creator | Soulignac, Francisco Juan | |
dc.creator | Szwarcfiter, Jayme Luiz | |
dc.date.accessioned | 2019-01-14T20:47:10Z | |
dc.date.accessioned | 2022-10-15T00:15:37Z | |
dc.date.available | 2019-01-14T20:47:10Z | |
dc.date.available | 2022-10-15T00:15:37Z | |
dc.date.created | 2019-01-14T20:47:10Z | |
dc.date.issued | 2011-04 | |
dc.identifier | Lin, Min Chih; Rautenbach, Dieter; Soulignac, Francisco Juan; Szwarcfiter, Jayme Luiz; Powers of cycles, powers of paths, and distance graphs; Elsevier Science; Discrete Applied Mathematics; 159; 7; 4-2011; 621-627 | |
dc.identifier | 0166-218X | |
dc.identifier | http://hdl.handle.net/11336/68005 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4323640 | |
dc.description.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. | |
dc.language | eng | |
dc.publisher | Elsevier Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.dam.2010.03.012 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0166218X10001186 | |
dc.rights | https://creativecommons.org/licenses/by-nc-nd/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Circulant Graph | |
dc.subject | Circular Arc Graph | |
dc.subject | Cycle | |
dc.subject | Distance Graph | |
dc.subject | Interval Graph | |
dc.subject | Path | |
dc.title | Powers of cycles, powers of paths, and distance graphs | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |