Multiple domination in graphs [Elektronische Ressource] / vorgelegt von Adriana Hansberg Pastor

Multiple Domination in GraphsVon der Fakult¨at fu¨r Mathematik, Informatik und Naturwissenschaftender Rheinisch-Westf¨alischen Technischen Hochschule Aachenzur Erlangung des akademischen Gradeseiner Doktorin der Naturwissenschaftengenehmigte Dissertationvorgelegt vonDiplom-MathematikerinAdriana Hansberg Pastoraus Mexiko-StadtBerichter: Professor Dr. Lutz VolkmannUniversit¨atsprofessor Dr. Eberhard TrieschTag der mu¨ndlichen Pru¨fung: 17. August 2009Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek onlineverfu¨gbar.“So let us then try to climb the mountain,not by stepping on what is below us,but to pull us up at what is above us,for my part at the stars.”M.C. Escherto my parentsTeresa and Willito my brother and sistersClaudio, Valeria and Oliviato my grandmotherOlgaAcknowledgmentsEven though, remembering Socrates, I am completely convinced that Istill do not know anything, I can affirm that in the past three years I havelearned more than ever in all aspects, in particular in the professional one.In these years I submerged into the world of research, the world of the math-ematicians, the world of the scientific publications and of conferences. Alsointo the small world of the institute and of belonging to a work team. Allthese facets have enriched me enormously and it makes me immensely happyto realize that.Like every learning process, the beginning was hard and full of emotions.