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https://hdl.handle.net/2142/86984
Description
Title
Problems in Extremal Graph Theory
Author(s)
Kundgen, Andre
Issue Date
1999
Doctoral Committee Chair(s)
Furedi, Zoltan
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
What is the maximum number of edges in a multigraph on n vertices if every k-set spans at most r edges? We asymptotically determine this maximum for almost all k and r as n tends to infinity, thus giving a generalization of Turan's theorem. We find exact answers in many cases, even when edges of negative multiplicity are allowed.
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