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1、GraphswithfeweigenvaluesAninterplaybetweencombinatoricsandalgebraGraphswithfeweigenvaluesAninterplaybetweencombinatoricsandalgebraProefschriftterverkrijgingvandegraadvandoctoraandeKatholiekeUniversiteitBrabant,opgezagvanderectormagnificus,prof.dr.L.F.W.deKlerk,inhetopenbaarteverdedigentenoversta
2、anvaneendoorhetcollegevandekanenaangewezencommissieindeaulavandeUniversiteitopvrijdag4oktober1996om14.15uurdoorEdwinRobertvanDamgeborenop27augustus1968teValkenswaardPromotor:Prof.dr.S.H.TijsCopromotor:Dr.ir.W.H.HaemersTernagedachtenisvanOpaVogelAcknowledgementsDuringthepastfouryearsIhavehadthepl
3、easuretoworkonthisthesisunderthesupervisionofWillemHaemers.Hissupportandguidancehavealwaysbeenstimulating,andIhavefoundWillemalwaysavailable.SothanksWillem,Ihadagreattime.IalsowishtothankStefTijs,forbeingmypromoter,andtheothermembersofthethesiscommittee:AndriesBrouwer,GielPaardekooper,LexSchrijv
4、erandTedSpence.SpecialthanksgotoTedSpencefortheenjoyablecooperationinthepastyears,andforalwaysprovidingmewithinterestingcombinatorialdata.FurthermoreIwouldliketothankJaapSeidelforinspiringme,D.G.Higmanforhisinspiringmanuscriptonrankfourassociationschemes,andallotherpeoplewhoshowedinterestinmywor
5、k.DuringthepastyearsIattendedseveralgraduatecourseswithgreatpleasure,andIthanktheorganizersandlecturersofLNMBandEIDMAforthose.IalsogratefullyacknowledgeCentERforpublishingthisthesis.ThissummerIvisitedtheUniversityofWinnipegandtheUniversityofWaterloo,Canada.Thesevisitshelpedmetofinishthelastdetai
6、lsofthisthesis,andhavegivenmelotsofinspiration.AccordinglyIwishtothankBillMartinandChrisGodsilforthekindinvitations.Manythanksgotomyoffice-matePaulSmitfortoomanythingstowritedown.Alsothankyoutomynearestcolleagues,andtothesecretariesformakingTilburgUniversityaniceplacetostay.FinallyIwouldliketoth
7、ankmyparentsforalwayshelpingout,andmydearestfriendofall,IngevanBreemen,forherbeautifulsunshine,whichisreflectedinthisthesis.Tilburg,August1996EdwinvanDamContentsLetmeexplaintoyou,Socrates,theorderinwhichwehavearrangedourente
