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Small Ramsey Numbers

关于Ramsey数

SmallRamseyNumbers

Stanis awP.RadziszowskiDepartmentofComputerScienceRochesterInstituteofTechnologyRochester,NY14623,spr@cs.rit.edu

http://www.cs.rit.edu/~spr

Submitted:June11,1994;Accepted:July3,1994

Revision#12:August4,2009

ABSTRACT:Wepresentdatawhich,tothebestofourknowledge,includesallknownnontrivialvaluesandboundsforspeci cgraph,hypergraphandmulticolorRamseynumbers,wheretheavoidedgraphsarecompleteorcompletewithoutoneedge.Manyresultsper-tainingtoothermorestudiedcasesarealsopresented.Wegiverefer-encestoallcitedboundsandvalues,aswellastoprevioussimilarcompilations.WedonotattemptcompletecoverageofasymptoticbehaviorofRamseynumbers,butconcentrateontheirspeci cvalues.

MathematicalReviewsSubjectNumber05C55.

Revisions

1993,1994,1994,1995,1996,1997,1998,1999,2000,2001,2002,2004,2006,2009,

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November7August28March25July11July9July5July25July12July15July4August1August4

preliminaryversion,RIT-TR-93-009[Ra2]acceptedtotheElJC,postedonthewebElJCrevision#1ElJCrevision#2ElJCrevision#3ElJCrevision#4ElJCrevision#5ElJCrevision#6ElJCrevision#7ElJCrevision#8ElJCrevision#9ElJCrevision#10ElJCrevision#11ElJCrevision#12

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