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Sum Graphs and Geographic Information
dc.contributor.authorArlinghaus, Sandra Lach
dc.contributor.authorArlinghaus, William Charles
dc.contributor.authorHarary, Frank
dc.date.accessioned2008-07-01T01:48:25Z
dc.date.available2008-07-01T01:48:25Z
dc.date.issued1993-06-21
dc.identifier.citationArlinghaus, Sandra L.; Arlinghaus, William C.; Harary, Frank. "Sum Graphs and Geographic Information." Solstice: An Electronic Journal of Geography and Mathematics, Volume IV, Number 1. Ann Arbor: Institute of Mathematical Geography, 1993. Persistent URL (URI): http://hdl.handle.net/2027.42/60198en_US
dc.identifier.issn1059-5325
dc.identifier.urihttps://hdl.handle.net/2027.42/60198
dc.description.abstractWe examine a new graph theoretic concept called a "sum graph," display a new sum graph construction, and prove a new theorem about sum graphs (sum graph unification theorem) verifying the construction. The sum graph is then generalized ultimately as an augmented reversed logarithmic sum graph so that it is useful in dealin with large sets of geographic information. The generalized form permits 1) the compression of large data sets, and 2) the simultaneous consideration of data sets at various levels of resolution.en_US
dc.format.extent1708976 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.publisherInstitute of Mathematical Geographyen_US
dc.relation.ispartofseriesSolstice, Volume IV, Number 1en_US
dc.subjectGraph Theoryen_US
dc.subjectGeographyen_US
dc.titleSum Graphs and Geographic Informationen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelGeography and Maps
dc.subject.hlbtoplevelSocial Sciences
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumS. Arlinghaus: Adjunct Professor of Mathematical Geography and Population-Environment Dynamics, School of Natural Resources and Environmenten_US
dc.contributor.affiliationumHarary: Professor Emeritus of Mathematicsen_US
dc.contributor.affiliationotherW. Arlinghaus: Professor of Mathematics and Computer Science, Lawrence Technological Universityen_US
dc.contributor.affiliationotherHarary: Distinguished Professor of Computer Science, New Mexico State Universityen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/60198/1/Reprint93Sumgraphs.pdf
dc.owningcollnameMathematical Geography, Institute of (IMaGe)


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