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The number of caterpillars

dc.contributor.authorHarary, Franken_US
dc.contributor.authorSchwenk, Allen J.en_US
dc.date.accessioned2006-04-17T16:43:41Z
dc.date.available2006-04-17T16:43:41Z
dc.date.issued1973en_US
dc.identifier.citationHarary, Frank, Schwenk, Allen J. (1973)."The number of caterpillars." Discrete Mathematics 6(4): 359-365. <http://hdl.handle.net/2027.42/33977>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6V00-48FM0KJ-1M/2/431c511acd2f4a13316bbcf9c68810dcen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/33977
dc.description.abstractA caterpillar is a tree which metamorphoses into a path when its cocoon of endpoints is removed. The number of nonisomorphic caterpillars with n+4 points is 2n + 2[n/2]. This neat formula is proved in two ways: first, as a special case of an application of Polya's enumeration theorem which counts graphs with integer-weighted points; secondly, by an appropriate labeling of the lines of the caterpillar.en_US
dc.format.extent603331 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleThe number of caterpillarsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Mich., USAen_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Mich., USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/33977/1/0000249.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0012-365X(73)90067-8en_US
dc.identifier.sourceDiscrete Mathematicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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