Gyula O. H. Katona: Difference between revisions
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{{short description|Hungarian mathematician}} |
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{{For|other people with similar names|Gyula Katona (disambiguation)}} |
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[[Image:Gyula Katona.jpg|thumb|Gyula Katona]] |
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| ⚫ | '''Gyula O. H. Katona''' (born 16 March 1941 in [[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 [[Katona's cycle method]].<ref>{{citation |
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| first = G.O.H. |
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| last = Katona |
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| title = <!--Don't change the title of this paper! Erdös is how it appeared.-->A simple proof of the Erdös-Chao Ko-Rado theorem |
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| journal = Journal of Combinatorial Theory, Series B |
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| volume = 13 |
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| year = 1972 |
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| issue = 2 |
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| pages = 183–184 |
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| doi = 10.1016/0095-8956(72)90054-8| doi-access = free |
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}}.</ref> 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]]. |
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| ⚫ | '''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.<ref>{{Citation|url=http://www.renyi.hu/conferences/katona70/|title=A Conference to celebrate the 70th birthday of Gyula Katona|publisher=Alfréd Rényi Institute|accessdate=2013-07-01}}.</ref> |
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| ⚫ | '''Gyula O. H. Katona''' ( |
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| ⚫ | 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 [[Rényi Prize]] of the [[Hungarian Academy of Sciences]] in 1975, and the same academy awarded him the Prize of the Academy in 1989. |
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== References == |
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{{reflist}} |
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== External links == |
== External links == |
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* [http://www.renyi.hu/~ohkatona/ Katona's web site] |
* [http://www.renyi.hu/~ohkatona/ Katona's web site] |
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* [ |
* [https://www.imdb.com/name/nm0441430/ Katona on IMDB], appearing as himself in [[N is a Number]] |
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* [http://ecajournal.haifa.ac.il/Volume2024/ECA2024_S3I7.pdf 2024 Interview with Gyula O. H. Katona] |
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{{Authority control}} |
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{{DEFAULTSORT:Katona, Gyula O. H.}} |
{{DEFAULTSORT:Katona, Gyula O. H.}} |
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[[Category:Hungarian |
[[Category:Members of the Hungarian Academy of Sciences]] |
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[[Category:20th |
[[Category:20th-century Hungarian mathematicians]] |
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[[Category: |
[[Category:Combinatorialists]] |
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[[Category:1941 births]] |
[[Category:1941 births]] |
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[[Category:Erdős number 2]] |
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[[hu:Katona Gyula]] |
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[[Category:Living people]] |
[[Category:Living people]] |
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{{Hungary-scientist-stub}} |
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Latest revision as of 14:38, 18 November 2024
Gyula O. H. Katona (born 16 March 1941 in 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 Katona's cycle method.[2] 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.[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
[edit]- ^ 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 (2): 183–184, doi:10.1016/0095-8956(72)90054-8.
- ^ A Conference to celebrate the 70th birthday of Gyula Katona, Alfréd Rényi Institute, retrieved 2013-07-01.
External links
[edit]- Katona's web site
- Katona on IMDB, appearing as himself in N is a Number
- 2024 Interview with Gyula O. H. Katona
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