Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs

dc.creatorGonzález, Lucía M.
dc.creatorGrippo, Luciano Norberto
dc.creatorSafe, Martin Dario
dc.date.accessioned2021-07-14T13:29:12Z
dc.date.accessioned2022-10-15T15:41:28Z
dc.date.available2021-07-14T13:29:12Z
dc.date.available2022-10-15T15:41:28Z
dc.date.created2021-07-14T13:29:12Z
dc.date.issued2021-02
dc.identifierGonzález, Lucía M.; Grippo, Luciano Norberto; Safe, Martin Dario; Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs; The University of Queensland. Combinatorial Mathematics Society of Australasia; The Australasian journal of combinatorics; 79; 3; 2-2021; 401-423
dc.identifier1034-4942
dc.identifierhttp://hdl.handle.net/11336/136082
dc.identifier2202-3518
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4404243
dc.description.abstractWe present formulas to compute the P3 -interval number, the P3 -hull number and the percolation time for a caterpillar, in terms of certain sequences associated with it. In addition, we find a connection between the percolation time of a unit interval graph and a parameter involving the diameter of a unit interval graph related to it. Finally, we present a hereditary graph class, defined by forbidden induced subgraphs, such that its percolation time is equal to one.
dc.languageeng
dc.publisherThe University of Queensland. Combinatorial Mathematics Society of Australasia
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://ajc.maths.uq.edu.au/?page=get_volumes&volume=79
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p401.pdf
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCONVEXITY OF PATHS
dc.subjectCATERPILLARS
dc.subjectUNIT INTERVAL GRAPHS
dc.titleFormulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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