András Frank
András Frank (born 3 June 1949) is a Hungarian mathematician, working in combinatorics, especially in graph theory, and combinatorial optimisation. He is director of the Institute of Mathematics of the Eötvös Loránd University, Budapest.
András Frank | |
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Born | |
Nationality | |
Alma mater | University of Szeged |
Scientific career | |
Fields | Mathematics |
Institutions | Eötvös Loránd University |
Doctoral advisor | László Lovász |
Doctoral students | András Sebő Éva Tardos |
Mathematical work
Using the LLL-algorithm, Frank, and his student, Éva Tardos developed a general method, which could transform some polynomial-time algorithms into strongly polynomial.[1] He solved the problem of finding the minimum number of edges to be added to a given undirected graph so that in the resulting graph the edge-connectivity between any two vertices u and v is at least a predetermined number f(u,v).[2]
Degrees, awards
He received the Candidate of Mathematical Science degree in 1980, advisor: László Lovász,[3] and the Doctor of Mathematical Science degree (1990) from the Hungarian Academy of Sciences. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.[4] He was awarded the Tibor Szele Prize of the János Bolyai Mathematical Society in 2002[5] and the Albert Szent-Györgyi Prize in 2009.[6] In June 2009 the ELTE Mathematical Institute sponsored a workshop in honor of his 60th birthday.[6][7]
References
- Frank, András; Tardos, Éva (1987), "An application of simultaneous diophantine approximation in combinatorial optimization", Combinatorica, 7 (1): 49–65, doi:10.1007/BF02579200.
- Frank, András (1992), "Augmenting graphs to meet edge-connectivity requirements" (PDF), SIAM Journal on Discrete Mathematics, 5 (1): 25–53, doi:10.1137/0405003.
- András Frank at the Mathematics Genealogy Project.
- Frank, András (1998). "Applications of relaxed submodularity". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. pp. 343–354.
- Szele Tibor Emlékérem (in Hungarian). János Bolyai Mathematical Society, retrieved 2010-01-21.
- News about mathematics, Eötvös Loránd University, Faculty of Science, Institute of Mathematics, retrieved 2010-01-21.
- Frank András 60. születésnapja alkalmából Archived 2011-07-21 at the Wayback Machine (in Hungarian), retrieved 2010-01-21.