September 21, 1884|
|Died||October 19, 1944
Budapest, Kingdom of Hungary
|Institutions||Technical University of Budapest|
|Alma mater||Technical University of Budapest|
|Doctoral students||Tibor Gallai|
Kőnig was born in Budapest, the son of mathematician Gyula Kőnig. In 1907, he received his doctorate at, and joined the faculty of the Technische Hochschule in Budapest (today Budapest University of Technology and Economics). 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 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), set theory, real numbers and functions, and graph theory (the name "graph theory" 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, György Hajós, József Kraus, Tibor Szele, Pál Turán, Endre Vázsonyi, and many others. He then went on to write the first book on graph theory 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 wrote the second book on graph theory, Théorie des Graphes et ses applications, following Kőnig. After the occupation of Hungary by the Nazis, fortunately for persecuted mathematicians he worked to help them.
- 1899 – Matematikai és Fizikai Lapok written while attending High School
- 1902 – First place in "Eötvös Lorád"
- 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), 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, Theorie der endlichen und unendlichen Graphen
- König's theorem (graph theory)
- König's theorem (set theory) is due to Dénes' father, Gyula Kőnig.
- König's lemma
- Labyrinth problem
- Chartrand, Gary; Zhang, Ping. A first course in graph theory. Mineola, N.Y.: Dover Publications. ISBN 9780486483689.
- Kőnig, Dénes (1936), Theorie der endlichen und unendlichen Graphen, Leipzig: Akademische Verlagsgesellschaft. Translated from German by Richard McCoart, Theory of finite and infinite graphs, Birkhäuser, 1990, ISBN 0-8176-3389-8.