Decompositions of complete multipartite graphs into disconnected selfcomplementary factors

dc.contributor.authorFronček, Dalibor
dc.date.accessioned2007-08-20T12:35:24Z
dc.date.available2007-08-20T12:35:24Z
dc.date.issued1998
dc.description.abstract-enWe determine the spectrum of complete bipartite and tripartite graphs that are decomposable into disconnected selfcomplementary factors (isodecomposable). For r-partite graphs with r greater than or equal to 4 we determine the smallest orders of graphs that are isodecomposable. We also prove that every complete r-partite graph with at least one even part is isodecomposable. For graphs with all odd parts we prove that if among the cardinalities of the parts there is exactly one that appears an odd number of times, then the graph is also isodecomposable. Finally, we present a class of graphs with all odd parts that are not isodecomposable.en
dc.identifier.citationUtilitas Mathematica. 1998, vol. 53, p. 201-216.en
dc.identifier.issn0315-3681
dc.identifier.locationNení ve fondu ÚKen
dc.identifier.urihttp://hdl.handle.net/10084/62068
dc.identifier.wos000073902700018
dc.language.isoenen
dc.publisherUtilitas Mathematicaen
dc.relation.ispartofseriesUtilitas Mathematicaen
dc.titleDecompositions of complete multipartite graphs into disconnected selfcomplementary factorsen
dc.typearticleen

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