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pointsquestionthat, pointsquestionthat,

pointsquestionthat, - PDF document

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pointsquestionthat, - PPT Presentation

distance 32 thisproblemproofwasonthattwopointsdistance Lets References 1 PKAgarwalNevoPachRPinchasiMSharirSmorodinskyLensesarrangementspseudocirclesandtheirapplicationsJACM2004 ID: 106256

distance 3=2 thisproblem.proofwasonthattwopointsdistance Let's References [1] P.K.Agarwal Nevo Pach R.Pinchasi M.Sharir Smorodinsky Lensesar-rangementspseudo-circlesandtheirapplications J.ACM(2004)

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distance pointsquestionthat, 3=2 thisproblem.proofwasonthattwopointsdistance, Let's References [1] P.K.Agarwal,Nevo,Pach,R.Pinchasi,M.Sharir,Smorodinsky,Lensesar-rangementspseudo-circlesandtheirapplications,J.ACM(2004),139-186. [2] Ajtai,Chavatal,Newborn,andSzemeredi,Crossing-freesubgraphs.Ann.DescreteMath.9-12. [3] ArovovM.Sharir,Cuttingintopseudo-segmentsimprovedboundsinci-dences,Comput.Geom. [4] Aroviv,KoltunM.Sharir,Incidencesbetweenpointsandcirclesthreehigherdimensions,Discretecomput.(2005),185-206. [5] P.andKnaauer,coutingpoint-hyperplaneincidences,Comput.appls.(2003),13-20. [6] Clarkson,Edelsbrunner,Guibas,SharirandWelzl,CombinatorialComplesityboundarrangematnscurvesspheres,Discretecomput.99-160. [7] andPach,Extremalproblemsforgeometicshypergraphs,DescreteComput.Geom. [8] Elekes,Sumsversusproductsalgebra,numberandEdrosgeometry,Manuscript, [9] P.Erdos,setdistancespoints,Amer.Math.Monthly(1946)248-250 [10] Kovari,Sos,Turan,P.problemZarankiewicz.Colloq.Math. [11] Leighton,T.ComplestityIssuesFoundationsComputingSeries,MITPress,Cambridge, [12] PachSharir,Geomenticincidences,towardsTheoryGeometricGraphsPach,pp.185-223,ContemporaryMathematics,vol.AmericanMathematicalSociety,Providence,RI, [13] PachSharir,thenumberincidencesbetweenpointsandcurves,Combin.Probab.Comput. 11

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