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chi-bounds, operations, and chords
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2018 (English)In: Journal of Graph Theory, ISSN 0364-9024, E-ISSN 1097-0118, Vol. 88, no 2, p. 312-336Article in journal (Refereed) Published
Abstract [en]

A long unichord in a graph is an edge that is the unique chord of some cycle of length at least 5. A graph is long unichord free if it does not contain any long unichord. We prove a structure theorem for long unichord free graph. We give an O(n4m) time algorithm to recognize them. We show that any long unichord free graph G can be colored with at most O(3) colors, where is the maximum number of pairwise adjacent vertices in G.

Place, publisher, year, edition, pages
2018. Vol. 88, no 2, p. 312-336
Keywords [en]
chi-bounded, amalgam, chords
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-147426DOI: 10.1002/jgt.22214ISI: 000430108800007OAI: oai:DiVA.org:umu-147426DiVA, id: diva2:1233957
Available from: 2018-07-20 Created: 2018-07-20 Last updated: 2018-07-20Bibliographically approved

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Pham, Lan Anh

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