Gyula O. H. Katona: Difference between revisions
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{{For|other people with similar names|Gyula Katona (disambiguation)}} |
{{For|other people with similar names|Gyula Katona (disambiguation)}} |
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[[Image:Gyula Katona.jpg|thumb|Gyula Katona in Erlangen, 1975.]] |
[[Image:Gyula Katona.jpg|thumb|Gyula Katona in Erlangen, 1975.]] |
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'''Gyula O. H. Katona''' (born March 16, 1941, [[Budapest]]) is a [[Hungary|Hungarian]] [[mathematician]] known for his work in combinatorial set theory, and especially for the [[Kruskal–Katona theorem]]<ref>{{citation|first=G.O.H.|last=Katona|contribution=A theorem of finite sets|title=Theory of Graphs|editor1-first=P.|editor1-last=Erdős|editor2-first=G.|editor2-last=Katona|publisher=Akadémiai Kiadó and Academic Press|year=1968}}.</ref> and his elegant proof of the [[Erdős–Ko–Rado theorem]] in which he discovered a new method, now called as, Katona's cycle method. This has become a powerful tool in proving many interesting results in Extremal set theory |
'''Gyula O. H. Katona''' (born March 16, 1941, [[Budapest]]) is a [[Hungary|Hungarian]] [[mathematician]] known for his work in combinatorial set theory, and especially for the [[Kruskal–Katona theorem]]<ref>{{citation|first=G.O.H.|last=Katona|contribution=A theorem of finite sets|title=Theory of Graphs|editor1-first=P.|editor1-last=Erdős|editor2-first=G.|editor2-last=Katona|publisher=Akadémiai Kiadó and Academic Press|year=1968}}.</ref> and his beautiful and elegant proof of the [[Erdős–Ko–Rado theorem]] in which he discovered a new method, now called as, Katona's cycle method. This has become a powerful tool in proving many interesting results in Extremal set theory<ref>{{citation |
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Revision as of 04:50, 13 November 2012
Gyula O. H. Katona (born March 16, 1941, Budapest) is a Hungarian mathematician known for his work in combinatorial set theory, and especially for the Kruskal–Katona theorem[1] and his beautiful and elegant proof of the Erdős–Ko–Rado theorem in which he discovered a new method, now called as, Katona's cycle method. This has become a powerful tool in proving many interesting results in Extremal set theory[2] 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.[3]
Gyula O.H. Katona is the father of Gyula Y. Katona, another Hungarian mathematician with similar research interests to those of his father.
References
- ^ Katona, G.O.H. (1968), "A theorem of finite sets", in Erdős, P.; Katona, G. (eds.), Theory of Graphs, Akadémiai Kiadó and Academic Press.
- ^ Katona, G.O.H. (1972), "A simple proof of the Erdös-Chao Ko-Rado theorem", Journal of Combinatorial Theory, Series B, 13: 183–184, doi:10.1016/0095-8956(72)90054-8.
- ^ A Conference in honor of the 70th birthday of Gyula Katona, Alfréd Rényi Institute, accessed 2011-09-07.
External links
- Katona's web site
- Katona on IMDB, appearing as himself in N is a Number
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