If you have a very large network (which may be deterministic or the result of some random procedure), we may want to approximate it by a smaller object, or by an infinite (analytic) object. The former question is related to Szemer\'edi's Regularity Lemma and its variants, the latter, to "graph limits". A theory of convergent graph sequences and their limits has been worked out by Benjamini and Schramm (for graphs with bounded degree) and by Borgs, Chayes, Lov\'asz, S\'os, Szegedy and Vesztergombi (for dense graphs). Focusing on the dense case, I will describe the motivation for graph limit theory and some basic facts.
The lecture is for CS Faculty and students as well as general audience,
Talk II by Prof. László Lovász will be on May 1, 13:30-14:30, Taub Building 337
The lecture is for mathematically minded audience.
László Lovász, born in 1948 in Budapest, is a Hungarian-American mathematician, best known for his work in combinatorics, combinatorial optimization, graph theory and their impact on computer science, for which he was awarded the Wolf Prize and the Knuth Prize in 1999, and the Kyoto Prize in 2010. He received the Fulkerson Prize twice (1982, 2012), Hungary's Széchenyi Grand Prize (2008), Bolyai prize (2007), Gödel Prize (2001).
Lovász received his Candidate of Sciences degree in 1970 at Hungarian Academy of Sciences. His advisor was Tibor Gallai. Until 1975, Lovász worked at the Eötvös University, between 1975-1982 he led the Department of Geometry at the University of Szeged.
In 1982 he returned to the Eötvös University, where he created the Department of Computer Science.
Lovász was a professor at Yale University during the 1990s and was a collaborative member of the Microsoft Research Center until 2006.
He returned to Eötvös Loránd University, Budapest, where he was the director of the Mathematical Institute (2006-2011). He served as president of the International Mathematical Union between January 1, 2007 and December 31, 2010.
: Avi Wigderson interviews László Lovász.