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An Atlas of Steiner Networks

dc.contributor.authorArlinghaus, Sandra Lachen_US
dc.date.accessioned2008-04-24T15:19:17Z
dc.date.available2008-04-24T15:19:17Z
dc.date.issued1989en_US
dc.identifier.citationArlinghaus, Sandra Lach. An Atlas of Steiner Networks. Ann Arbor: Institute of Mathematical Geography, Monograph Series, Monograph #9, 1989. 89 pages. http://hdl.handle.net/2027.42/58268en_US
dc.identifier.isbn1-877751-18-9en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/58268
dc.descriptionA Steiner network is a tree of minimum total length joining a prescribed, finite, number of locations; often new locations are introduced into the prescribed set to determine the minimum tree. This Atlas explains the mathematical detail behind the Seiner construction for prescribed sets of n locations and displays the steps, visually, in a series of Figures. The proof of the STeiner construction is by mathematical induction, and enough steps in the early part of the induction are displayed, completely that the reader who is well-trained in Euclidean geometry, and familiar with concepts from graph theory and elementary number theory,, should be able to replicate the constructions for full as well as for degenerate Steiner trees.en_US
dc.description.abstractTable of Contents: Introduction | Networks of Minimal Total Length in the Triangle | Networks of Minimal Total Length, in General | Geometric Constructions: the Six Point Case | Enumeration of Candidate Steiner Networksen_US
dc.format.extent1349 bytes
dc.format.extent15400227 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.publisherInstitute of Mathematical Geographyen_US
dc.relation.ispartofseriesInstitute of Mathematical Geography (IMaGe) Monograph Series.en_US
dc.relation.ispartofseriesMonograph #9.en_US
dc.subjectSteiner Networksen_US
dc.subjectShortest Pathsen_US
dc.titleAn Atlas of Steiner Networksen_US
dc.typeBooken_US
dc.typeMapen_US
dc.subject.hlbsecondlevelGeography and Mapsen_US
dc.subject.hlbtoplevelSocial Sciencesen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumAdjunct Professor of Mathematical Geography and Population-Environment Dynamics, School of Natural Resources and Environmenten_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/58268/2/Mongraph09.pdf
dc.owningcollnameMathematical Geography, Institute of (IMaGe)


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