Some Properties of Alphabet Overlap Graphs

dc.creatorGodbole, Anant
dc.creatorKnisley, Debra
dc.creatorNorwood, Rick
dc.date2005-10-05
dc.date.accessioned2026-07-07T06:21:09Z
dc.date.available2026-07-07T06:21:09Z
dc.descriptionConsider a graph G = G(k,d,s) with vertex set the set of all k-letter words over an alphabet of size d. An edge e = vw is in E iff v is distinct from w and the last(first) k-s letters of v are identical to the first(last) k-s letters of w. In this paper we show that G is Hamiltonian for all non-trivial values of the parameters and obtain exact values for its chromatic number when s is greater than or equal to k/2. We also obtain bounds when the chromatic number is less than k/2.
dc.identifierhttps://arxiv.org/abs/math/0510094
dc.identifierhttp://arxiv.org/abs/math/0510094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95509
dc.subjectCombinatorics
dc.subject05C15
dc.titleSome Properties of Alphabet Overlap Graphs
dc.typetext

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