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On tactical configurations with no four-cycles

dc.contributor.authorHarary, Franken_US
dc.contributor.authorSchwenk, Allen J.en_US
dc.date.accessioned2006-04-07T16:29:07Z
dc.date.available2006-04-07T16:29:07Z
dc.date.issued1976-05en_US
dc.identifier.citationHarary, Frank, Schwenk, Allen J. (1976/05)."On tactical configurations with no four-cycles." Journal of Combinatorial Theory, Series A 20(3): 371-374. <http://hdl.handle.net/2027.42/21781>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6WHS-4D7D2BK-18H/2/928c4fd38d25e5713ca9635ae421914aen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/21781
dc.description.abstractAn improved lower bound is given for the band sizes of tactical configurations of rank exceeding two having no 4-cycles. This bound is applied to find an optimal configuration with certain specified parameters. A formula is given for the maximum number of cycle types one must examine to demonstrate that a rank r configuration has no g-cycle. This result, which has appeared in our earlier work as the number of types of closed walks, answers a question of Longyear.en_US
dc.format.extent194430 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleOn tactical configurations with no four-cyclesen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, USAen_US
dc.contributor.affiliationotherU. S. Naval Academy, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/21781/1/0000175.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0097-3165(76)90033-9en_US
dc.identifier.sourceJournal of Combinatorial Theory, Series Aen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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