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Discrete and Computational Geometry ISBN 13: 9783540423065

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9783540423065: Discrete and Computational Geometry
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ISBN 10: 3540423060 ISBN 13: 9783540423065
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This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2001, held in Tokyo, Japan in November 2001. The 35 revised papers presented were carefully reviewed and selected. Among the topics covered are polygons and polyhedrons, divissible dissections, convex polygon packings, symmetric subsets, convex decompositions, graph drawing, graph computations, point sets, approximation, Delauny diagrams, triangulations, chromatic numbers, complexity, layer routing, efficient algorithms, and illumination problems.

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Akiyama, Jin", "Kano, Mikio", "Urabe, Masatsugu"
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - TheJapanConferenceonDiscreteandComputationalGeometry(JCDCG)has beenheldannuallysince1997. Oneofthegoalsofthisconferenceseriesistobring togetherJapaneseresearchersfrombothacademiaandindustrywithresearchers inthese eldsfromabroadtosharetheirrecentresults. JCDCG2000washeld22 25November2000atTokaiUniversityinTokyo inconjunctionwiththecelebrationofWorldMathematicsYear2000. Atotalof 120participantsfrom20countriesattended. Thisvolumeconsistsofthepapers presentedatJCDCG2000,whichhavebeenrefereedandrevised. Somepapers whichappearinshortforminthisvolumealsoappearinfullerexpandedversions injournalsdedicatedtocomputationalgeometry. Theorganizersoftheconferencethanktheprincipalspeakersfortheir- terestandsupport:ImreBarany,ErikD. Demaine,GregN. Fredrickson,Gyula Karolyi,NaokiKatoh,DavidKirkpatrick,JosephO Rourke,JanosPach,Jozsef Solymosi,WilliamSteiger,JorgeUrrutia,andAllanWilks. Theythankthe- jorsponsorsfortheirgenerouscontribution:TheResearchInstituteofEdu- tionalDevelopmentofTokaiUniversity,theMinistryofEducationofJapan(fo r thegrant-in-aidtoA. Saito(A):10304008),andTokaiEducationInstruments Co. ,Ltd. April2001 TheEditors, JinAkiyama MikioKano MasatsuguUrabe OrganizingCommittee Chairs:JinAkiyamaandMikioKano Members: TetsuoAsano,DavidAvis,VasekChvatal,KiyoshiHosono,HiroshiImai, TakakoKodate,JosephO Rourke,ToshinoriSakai,XuehouTan,Morimasa Tsuchiya,MasatsuguUrabe,andJorgeUrrutia. TableofContents Papers DudeneyDissectionsofPolygonsandPolyhedrons-ASurvey-. . . . . . . . . . 1 J. AkiyamaandG. Nakamura UniversalMeasuringDeviceswithoutGradations. . . . . . . . . . . . . . . . . . . . . . . 31 J. Akiyama, H. Fukuda,G. Nakamura, T. Sakai, J. Urrutia, andC. Zamora-Cura ANoteonthePurelyRecursiveDissectionforaSequentially n-Divisible Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 J. Akiyama, G. Nakamura, A. Nozaki, and K. Ozawa SequentiallyDivisibleDissectionsofSimplePolygons . . . . . . . . . . . . . . . . . . 53 J. Akiyama, T. Sakai, andJ. Urrutia PackingConvexPolygonsintoRectangulerBoxes . . . . . . . . . . . . . . . . . . . . . 67 H. AltandF. Hurtado OntheNumberofViewsofPolyhedralScenes . . . . . . . . . . . . . . . . . . . . . . . . 81 B. Aronov, H. Br onnimann,D. Halperin,andR. Schi enbauer ProblemsandResultsAroundtheErdos-Szek eresConvex PolygonTheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 I. Bar an y andG. Kar olyi OnFindingMaximum-CardinalitySymmetricSubsets . . . . . . . . . . . . . . . . . 106 P. Brass FoldingandUnfoldingLinkages,Paper,andPolyhedra . . . . . . . . . . . . . . . . . 113 E. D. Demaine OntheSkeletonoftheMetricPolytope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 A. Deza,K. Fukuda,D. Pasechnik, andM. Sato GeometricDissectionsThatSwingandTwist . . . . . . . . . . . . . . . . . . . . . . . . . 137 G. N. Frederickson OnConvexDecompositionsofPoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 K. Hosono, D. Rappaport, andM. Urabe VolumeQueriesinPolyhedra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 J. IaconoandS. Langerman VIII Table ofContents SumofEdgeLengthsofaGraphDrawnonaConvexPolygon . . . . . . . . . . 160 H. Ito,H. Uehara, andM. Yokoyama OnDoubleBoundGraphswithRespecttoGraphOperations . . . . . . . . . . . 167 S. Iwai,K. Ogawa,andM. Tsuchiya GeneralizedBalancedPartitionsofTwoSetsofPointsinthePlane . . . . . . 176 A. KanekoandM. Kano OnPathsinaCompleteBipartiteGeometricGraph . . . . . . . . . . . . . . . . . . . 187 A. KanekoandM. Kano ApproximatingUniformTriangularMeshesforSpheres . . . . . . . . . . . . . . . . . 192 N. Katoh,H. Kojima, andR. Taniguchi TheConstructionofDelaunayDiagramsbyLobReduction . . . . . . . . . . . . . 205 P. Kau mannand J. C. Spehner GeometricTransformationsinPlaneTriangulations . . . . . . . . . . . . . . . . . . . . 217 K. Kawarabayashi, A. Nakamoto, Y. Oda, andM. Watanabe. Seller Inventory # 9783540423065

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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -TheJapanConferenceonDiscreteandComputationalGeometry(JCDCG)has beenheldannuallysince1997. Oneofthegoalsofthisconferenceseriesistobring togetherJapaneseresearchersfrombothacademiaandindustrywithresearchers inthese eldsfromabroadtosharetheirrecentresults. JCDCG2000washeld22 25November2000atTokaiUniversityinTokyo inconjunctionwiththecelebrationofWorldMathematicsYear2000. Atotalof 120participantsfrom20countriesattended. Thisvolumeconsistsofthepapers presentedatJCDCG2000,whichhavebeenrefereedandrevised. Somepapers whichappearinshortforminthisvolumealsoappearinfullerexpandedversions injournalsdedicatedtocomputationalgeometry. Theorganizersoftheconferencethanktheprincipalspeakersfortheir- terestandsupport:ImreBarany,ErikD. Demaine,GregN. Fredrickson,Gyula Karolyi,NaokiKatoh,DavidKirkpatrick,JosephO Rourke,JanosPach,Jozsef Solymosi,WilliamSteiger,JorgeUrrutia,andAllanWilks. Theythankthe- jorsponsorsfortheirgenerouscontribution:TheResearchInstituteofEdu- tionalDevelopmentofTokaiUniversity,theMinistryofEducationofJapan(for thegrant-in-aidtoA. Saito(A):10304008),andTokaiEducationInstruments Co. ,Ltd. April2001 TheEditors, JinAkiyama MikioKano MasatsuguUrabe OrganizingCommittee Chairs:JinAkiyamaandMikioKano Members: TetsuoAsano,DavidAvis,VasekChvatal,KiyoshiHosono,HiroshiImai, TakakoKodate,JosephO Rourke,ToshinoriSakai,XuehouTan,Morimasa Tsuchiya,MasatsuguUrabe,andJorgeUrrutia. TableofContents Papers DudeneyDissectionsofPolygonsandPolyhedrons-ASurvey-. . . . . . . . . . 1 J. AkiyamaandG. Nakamura UniversalMeasuringDeviceswithoutGradations. . . . . . . . . . . . . . . . . . . . . . . 31 J. Akiyama, H. Fukuda,G. Nakamura, T. Sakai, J. Urrutia, andC. Zamora-Cura ANoteonthePurelyRecursiveDissectionforaSequentially n-Divisible Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 J. Akiyama, G. Nakamura, A. Nozaki, and K. Ozawa SequentiallyDivisibleDissectionsofSimplePolygons . . . . . . . . . . . . . . . . . . 53 J. Akiyama, T. Sakai, andJ. Urrutia PackingConvexPolygonsintoRectangulerBoxes . . . . . . . . . . . . . . . . . . . . . 67 H. AltandF. Hurtado OntheNumberofViewsofPolyhedralScenes . . . . . . . . . . . . . . . . . . . . . . . . 81 B. Aronov, H. Br onnimann,D. Halperin,andR. Schi enbauer ProblemsandResultsAroundtheErdos-Szek eresConvex PolygonTheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 I. Bar an y andG. Kar olyi OnFindingMaximum-CardinalitySymmetricSubsets . . . . . . . . . . . . . . . . . 106 P. Brass FoldingandUnfoldingLinkages,Paper,andPolyhedra . . . . . . . . . . . . . . . . . 113 E. D. Demaine OntheSkeletonoftheMetricPolytope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 A. Deza,K. Fukuda,D. Pasechnik, andM. Sato GeometricDissectionsThatSwingandTwist . . . . . . . . . . . . . . . . . . . . . . . . . 137 G. N. Frederickson OnConvexDecompositionsofPoints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 K. Hosono, D. Rappaport, andM. Urabe VolumeQueriesinPolyhedra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 J. IaconoandS. Langerman VIII Table ofContents SumofEdgeLengthsofaGraphDrawnonaConvexPolygon . . . . . . . . . . 160 H. Ito,H. Uehara, andM. Yokoyama OnDoubleBoundGraphswithRespecttoGraphOperations . . . . . . . . . . . 167 S. Iwai,K. Ogawa,andM. Tsuchiya GeneralizedBalancedPartitionsofTwoSetsofPointsinthePlane . . . . . . 176 A. KanekoandM. Kano OnPathsinaCompleteBipartiteGeometricGraph . . . . . . . . . . . . . . . . . . . 187 A. KanekoandM. Kano ApproximatingUniformTriangularMeshesforSpheres . . . . . . . . . . . . . . . . . 192 N. Katoh,H. Kojima, andR. Taniguchi TheConstructionofDelaunayDiagramsbyLobReduction . . . . . . . . . . . . . 205 P. Kau mannand J. C. Spehner GeometricTransformationsinPlaneTriangulations . . . . . . . . . . . . . . . . . . . . 217 K. Kawarabayashi, A. Nakamoto, Y. Oda, andM. Watanabe 400 pp. Englisch. Seller Inventory # 9783540423065

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