Algebraic structure of endomorphism monoids of finite graphs [Elektronische Ressource] / von Apirat Wanichsombat

ALGEBRAIC STRUCTURE OF ENDOMORPHISMMONOIDS OF FINITE GRAPHSAPIRAT WANICHSOMBAT¨CARL VON OSSIETZKY UNIVERSITAT OLDENBURGMAY 2011Algebraic Structure of Endomorphism Monoids of Finite GraphsDer Fakult¨at fur¨ Mathematik und Naturwissenschaften der Carl vonOssietzky Universit¨at Oldenburg zur Erlangung des Grades und Titelseiner/einesDoktors der Naturwissenschaften (Dr.rer.nat)angenommene Dissertationvon Herrn Apirat Wanichsombatgeboren am 13 Mai 1979 in Petchabun, ThailandGutachter Professor Dr. Dr. h.c. Ulrich KnauerZweitgutachter Professor Dr. Andreas SteinTag der Disputation :.........................iACKNOWLEDGEMENTSFirst, I am very grateful to my supervisor, Professor Dr.Ulrich Knauer,whohasprovidedvaluableguidanceandencouragementthroughoutmydoc-toral study. My study would not have been successful without him.I am thankful to Dr.Srichan Arworn for her support and inspiration toaccomplish my doctoral degree.It is a pleasure to thank my friends, Dr.Krittapat Fukfon for editing apart of this dissertation and Ms.Somnuek Worawiset for all her helps whenI lived in Germany.ItisanhonorformetoreceiveascholarshipformydoctoraldegreefromPrince of Songkla University, Thailand and a research scholarship from theCarl-von-Ossietzky-Universit¨at Oldenburg.Lastly, I am deeply thankful to my family for their encouragement andemotional support when I studied overseas.