Dénes Kőnig
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Dénes Kőnig (September 21, 1884 – October 19, 1944) was 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 ...
of
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
heritage who worked in and wrote the first textbook on the field of
graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conn ...
.


Biography

Kőnig was born 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 ...
, the son of mathematician Gyula Kőnig. In 1907, he received his doctorate Translated by Richard McCoart; with commentary by W.T. Tutte. at, and joined the faculty of the Royal Joseph University in Budapest (today
Budapest University of Technology and Economics The Budapest University of Technology and Economics ( hu, Budapesti Műszaki és Gazdaságtudományi Egyetem or in short ), official abbreviation BME, is the most significant university of technology in Hungary and is considered the world's olde ...
). His classes were visited by Paul Erdős, who, as a first year student, solved one of his problems. Kőnig became a full professor there in 1935. To honor his fathers' death in 1913, Kőnig and his brother György created the Gyula Kőnig prize in 1918. This prize was meant to be an endowment for young mathematicians, however was later devaluated. But the prize remained as a medal of high scientific recognition. In 1899, he published his first work while still attending High School in a journal ''Matematikai és Fizikai Lapok''. After his graduation in 1902, he won first place in a mathematical competition "Eötvös Loránd". Shortly after he wrote the first of two book collections ''Matematikai Mulatságok'' (Mathematical Entertainments). He spent four semesters at the university in Budapest and his last five in Göttingen, during which he studied under the famous mathematicians József Kürschák and Hermann Minkowski. He then received his doctorate in 1907 due to his dissertation in geometry, that same year he began working for the Technische Hochschule 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 ...
and remained a part of the faculty till his death in 1944. At first he started as an assistant in problem sessions, in 1910 he was promoted to "oberassistant", and then promoted to "Privatdocent" in 1911 teaching nomography, analysis situs (later to be known as
topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...
), set theory, real numbers and functions, and graph theory (the name "
graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conn ...
" didn't appear in the university catalogue until 1927). During this time he would be a guest speaker giving mathematics lecture for architecture and chemistry students, in 1920 these lectures made their way into book form. at the Technische Hochschule. From 1915 to 1942 he was on a committee to judge school contests in mathematics, collecting problems for these contests, and organizing them. Then in 1933 he was elected as secretary of the society and in 1942 he became the chairman of this committee. He then decided to make edits in the society's journal during his time on the committee till his death. Kőnig's activities and lectures played a vital role in the growth of graph theoretical work of: László Egyed, Paul Erdős,
Tibor Gallai Tibor Gallai (born Tibor Grünwald, 15 July 1912 – 2 January 1992) was a Hungarian mathematician. He worked in combinatorics, especially in graph theory, and was a lifelong friend and collaborator of Paul Erdős. He was a student of Dénes K ...
,
György Hajós György Hajós (February 21, 1912, Budapest – March 17, 1972, Budapest) was a Hungarian mathematician who worked in group theory, graph theory, and geometry.. Biography Hajós was born February 21, 1912, in Budapest; his great-grandfathe ...
, József Kraus,
Tibor Szele Tibor Szele (Debrecen, 21 June 1918 – Szeged, 5 April 1955) Hungarian mathematician, working in combinatorics and abstract algebra. After graduating at the Debrecen University, he became a researcher at the Szeged University in 1946, then ...
,
Pál Turán Pál Turán (; 18 August 1910 – 26 September 1976) also known as Paul Turán, was a Hungarian mathematician who worked primarily in extremal combinatorics. He had a long collaboration with fellow Hungarian mathematician Paul Erdős, lasting ...
, Endre Vázsonyi, and many others. He went on to write the first book on
graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conn ...
''Theorie der endlichen und unendlichen Graphen'' in 1936. This marked the beginning of graph theory as its own branch of mathematics. Then in 1958,
Claude Berge Claude Jacques Berge (5 June 1926 – 30 June 2002) was a French mathematician, recognized as one of the modern founders of combinatorics and graph theory. Biography and professional history Claude Berge's parents were André Berge and Geneviève ...
wrote the second book on graph theory, ''Théorie des Graphes et ses applications'', following Kőnig. After the occupation of Hungary by
Nazi Germany Nazi Germany (lit. "National Socialist State"), ' (lit. "Nazi State") for short; also ' (lit. "National Socialist Germany") (officially known as the German Reich from 1933 until 1943, and the Greater German Reich from 1943 to 1945) was ...
, he worked to help persecuted mathematicians. On October 15, 1944 the National Socialist
Arrow Cross Party The Arrow Cross Party ( hu, Nyilaskeresztes Párt – Hungarista Mozgalom, , abbreviated NYKP) was a far-right Hungarian ultranationalist party led by Ferenc Szálasi, which formed a government in Hungary they named the Government of National ...
took over the country. Days later on October 19, 1944 he committed suicide to evade persecution from the Nazis for being a Hungarian Jew.


Accomplishments

:1899 – ''Matematikai és Fizikai Lapok'' written while attending High School :1902 – First place in "Eötvös Loránd" :1907 – received his Doctorate Degree :1910 – promoted to "oberassistant" :1911 – promoted to "Privatdocent" in 1911 teaching nomography, analysis situs (later to be known as
topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...
), set theory, real numbers and functions, and graph theory :1935 – gained full professorship at Technische Hochschule :1936 – he wrote the first book on
graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conn ...
, ''Theorie der endlichen und unendlichen Graphen''


Dénes König Prize

The Dénes König Prize is a prize established and given by the Society for Industrial and Applied Mathematics Activity Group on Discrete Mathematics to an early career researcher for outstanding research in an area of discrete mathematics. The first award was given in 2008, and it had been given biennially thereafter.


Past award recipients


Bibliography

* *. Translated from
German German(s) may refer to: * Germany (of or related to) ** Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Ge ...
by Richard McCoart, ''Theory of finite and infinite graphs'', Birkhäuser, 1990, .


See also

*
Kőnig's theorem (graph theory) In the mathematical area of graph theory, Kőnig's theorem, proved by , describes an equivalence between the maximum matching problem and the minimum vertex cover problem in bipartite graphs. It was discovered independently, also in 1931, by Jen ...
* Kőnig's theorem (set theory) is due to Dénes' father, Gyula Kőnig. *
Kőnig's lemma Kőnig's lemma or Kőnig's infinity lemma is a theorem in graph theory due to the Hungarian mathematician Dénes Kőnig who published it in 1927. It gives a sufficient condition for an infinite graph to have an infinitely long path. The computab ...
* Labyrinth problem


Notes


External links

* *
a Hungarian biography siteDénes König Prize
{{DEFAULTSORT:Konig, Denes 1884 births 1944 suicides Burials at Kerepesi Cemetery Jewish scientists 20th-century Hungarian mathematicians Graph theorists Suicides by jumping in Hungary Austro-Hungarian mathematicians Mathematics awards Suicides by Jews during the Holocaust Hungarian Jews who died in the Holocaust