Digital metrics: A graph-theoretical approach
dc.contributor.author | Harary, Frank | en_US |
dc.contributor.author | Melter, Robert A. | en_US |
dc.contributor.author | Tomescu, Ioan | en_US |
dc.date.accessioned | 2006-04-07T18:30:14Z | |
dc.date.available | 2006-04-07T18:30:14Z | |
dc.date.issued | 1984-03 | en_US |
dc.identifier.citation | Harary, Frank, Melter, Robert A., Tomescu, Ioan (1984/03)."Digital metrics: A graph-theoretical approach." Pattern Recognition Letters 2(3): 159-163. <http://hdl.handle.net/2027.42/24881> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6V15-48MPV3X-2T/2/26de621f3eae2a095cba6f4502a4ae12 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/24881 | |
dc.description.abstract | Consider the following two graphs M and N, both with vertex set Z x Z, where Z is the set of all integers. In M, two vertices are adjacent when their euclidean distance is 1, while in N, adjacency is obtained when the distance is either 1 or [radical sign]2. By definition, H is a metric subgraph of the graph G if the distance between any two points of H is the same as their distance in G. We determine all the metric subgraphs of M and N. The graph-theoretical distances in M and N are equal respectively to the city block and chessboard matrics used in pattern recognition. | en_US |
dc.format.extent | 275444 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Digital metrics: A graph-theoretical approach | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Science (General) | en_US |
dc.subject.hlbsecondlevel | Computer Science | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA | en_US |
dc.contributor.affiliationother | Department of Mathematics, Southampton College of Long Island University, Southampton, NY 11968, USA | en_US |
dc.contributor.affiliationother | Faculty of Mathematics, University of Bucharest, Bucharest, Romania | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/24881/1/0000308.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0167-8655(84)90040-0 | en_US |
dc.identifier.source | Pattern Recognition Letters | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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