Gyula O. H. Katona (born 16 March 1941 in
Budapest
Budapest (, ; ) is the capital and most populous city of Hungary. It is the ninth-largest city in the European Union by population within city limits and the second-largest city on the Danube river; the city has an estimated population ...
) is a
Hungarian mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
known for his work in combinatorial set theory, and especially for the
Kruskal–Katona theorem
In algebraic combinatorics, the Kruskal–Katona theorem gives a complete characterization of the ''f''-vectors of abstract simplicial complexes. It includes as a special case the Erdős–Ko–Rado theorem and can be restated in terms of uniform ...
and his beautiful and elegant proof of the
Erdős–Ko–Rado theorem in which he discovered a new method, now called
Katona's cycle method. Since then, this method has become a powerful tool in proving many interesting results in
extremal set theory. He is affiliated with the
Alfréd Rényi Institute of Mathematics of the
Hungarian Academy of Sciences.
Katona was secretary-general of the
János Bolyai Mathematical Society from 1990 to 1996. In 1966 and 1968 he won the
Grünwald Prize, awarded by the Bolyai Society to outstanding young mathematicians, he was awarded the
Alfréd Rényi Prize of the
Hungarian Academy of Sciences in 1975, and the same academy awarded him the Prize of the Academy in 1989. In 2011 the Alfréd Rényi Institute, the János Bolyai Society and the Hungarian Academy of Sciences organized a conference in honor of Katona's 70th birthday.
[.]
Gyula O.H. Katona is the father of
Gyula Y. Katona, another Hungarian mathematician with similar research interests to those of his father.
References
External links
Katona's web siteKatona on IMDB appearing as himself in
N is a Number
Members of the Hungarian Academy of Sciences
20th-century Hungarian mathematicians
Combinatorialists
1941 births
Living people
{{europe-mathematician-stub