Please use this identifier to cite or link to this item: https://olympias.lib.uoi.gr/jspui/handle/123456789/11123
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dc.contributor.authorNikolopoulos, S. D.en
dc.contributor.authorRondogiannis, P.en
dc.date.accessioned2015-11-24T17:03:02Z-
dc.date.available2015-11-24T17:03:02Z-
dc.identifier.issn0020-0190-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/11123-
dc.rightsDefault Licence-
dc.subjectspanning treesen
dc.subjectmulti-star graphsen
dc.subjectcomplement spanning tree matrix theoremen
dc.subjectcombinatorial problemsen
dc.subjectinterconnection networksen
dc.titleOn the number of spanning trees of multi-star related graphsen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μηχανικών Ηλεκτρονικών Υπολογιστών και Πληροφορικήςel
heal.publicationDate1998-
heal.abstractIn this paper we compute the number of spanning trees of a specific family of graphs using techniques from linear algebra and matrix theory. More specifically, we consider the graphs that result from a complete graph K-n after removing a set of edges that spans a multi-star graph K-m(a(1), a(2),..., a(m)). We derive closed formulas for the number of spanning trees in the cases of double-star (m = 2), triple-star (m = 3), and quadruple-star (m = 4). Moreover for each case we prove that the graphs with the maximum number of spanning trees are exactly those that result when all the ais are equal. (C) 1998 Elsevier Science B.V.en
heal.journalNameInformation Processing Lettersen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)



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