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# László Babai

Hungarian mathematician and computer scientist
László Babai
The basics

## Quick Facts

 Intro Hungarian mathematician and computer scientist A.K.A. Laszlo Babai, Babai Is Mathematician Computer scientist Professor Educator From Hungary Type Academia Mathematics Technology Science Gender male Birth 20 July 1950, Budapest, Hungary Age: 70 years Star sign Cancer Social
The details

## Biography

László "Laci" Babai (born July 20, 1950 in Budapest) is a Hungarian professor of computer science and mathematics at the University of Chicago. His research focuses on computational complexity theory, algorithms, combinatorics, and finite groups, with an emphasis on the interactions between these fields.

## Life

In 1968, Babai won a gold medal at the International Mathematical Olympiad. Babai studied mathematics at Eötvös Loránd University from 1968 to 1973, received a Ph.D. from the Hungarian Academy of Sciences in 1975, and received a D.Sc. from the Hungarian Academy of Sciences in 1984. He held a teaching position at Eötvös Loránd University since 1971; in 1987 he took joint positions as a professor in algebra at Eötvös Loránd and in computer science at the University of Chicago. In 1995, he began a joint appointment in the mathematics department at Chicago and gave up his position at Eötvös Loránd.

## Work

He is the author of over 180 academic papers. His notable accomplishments include the introduction of interactive proof systems, the introduction of the term Las Vegas algorithm, and the introduction of group theoretic methods in graph isomorphism testing. In November 2015, he announced a quasipolynomial time algorithm for the graph isomorphism problem.

He is editor-in-chief of the refereed online journal Theory of Computing. Babai was also involved in the creation of the Budapest Semesters in Mathematics program and first coined the name.

### Graph Isomorphism in Quasipolynomial Time

After announcing the result in 2015, Babai presented a paper proving that the Graph isomorphism problem can be solved in quasi-polynomial time in 2016, at the ACM Symposium on Theory of Computing. In response to an error discovered by Harald Helfgott, he posted an update in 2017.

abstract

We show that the Graph Isomorphism (GI) problem and the related problems of String Isomorphism (under group action) (SI) and Coset Intersection (CI) can be solved in quasipolynomial ${\displaystyle \exp \left(\left(\log n\right)^{O\left(1\right)}\right)}$ time. The best previous bound for GI was ${\displaystyle \exp \left(O\left({\sqrt {n\log n}}\right)\right),}$ where ${\displaystyle n}$ is the number of vertices (Luks, 1983); for the other two problems, the bound was similar, ${\displaystyle \quad \qquad \exp \left({\tilde {O}}\left({\sqrt {n}}\right)\right),}$ where ${\displaystyle n}$ is the size of the permutation domain (Babai, 1983).
The algorithm builds on Luks's SI framework and attacks the barrier configurations for Luks's algorithm by group theoretic «local certificates» and combinatorial canonical partitioning techniques. We show that in a well-defined sense, Johnson graphs are the only obstructions to effective canonical partitioning.

## Honors

In 1988, Babai won the Hungarian State Prize, in 1990 he was elected as a corresponding member of the Hungarian Academy of Sciences, and in 1994 he became a full member. In 1999 the Budapest University of Technology and Economics awarded him an honorary doctorate.

In 1993, Babai was awarded the Gödel Prize together with Shafi Goldwasser, Silvio Micali, Shlomo Moran, and Charles Rackoff, for their papers on interactive proof systems.

In 2015, he was elected a fellow of the American Academy of Arts and Sciences, and won the Knuth Prize.

## Sources

copy from Lenta.ru // texnomaniya.ru, 20 ноября 2015
Опубліковано швидкий алгоритм для задачі ізоморфізму графів // Джерело: Хабрахабр, перекладено 16 грудня 2015, 06:30
The contents of this page are sourced from Wikipedia article on 10 Mar 2020. The contents are available under the CC BY-SA 4.0 license.
Reference sources
References
https://web.archive.org/web/20140211143337/http://people.cs.uchicago.edu/~laci/CV.pdf
https://www.genealogy.math.ndsu.nodak.edu/id.php?id=78102
//doi.org/10.1016%2F0022-0000(88)90028-1
http://people.cs.uchicago.edu/~laci/lasvegas79.pdf
https://www.quantamagazine.org/20151214-graph-isomorphism-algorithm/
http://theoryofcomputing.org/editors.html
https://rjlipton.wordpress.com/2015/11/04/a-big-result-on-graph-isomorphism/
https://rjlipton.wordpress.com/2015/11/11/a-fast-graph-isomorphism-algorithm/
http://www.technologyreview.com/news/543511/claimed-breakthrough-slays-classic-computing-problem-encryption-could-be-next/
//arxiv.org/abs/1512.03547