Anton Kotzig

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Anton Kotzig (born October 22, 1919 in Kočovce , today's Slovakia , † April 20, 1991 in Montreal ) was a Czechoslovak-Canadian mathematician.

Kotzig studied until its closure in 1939 at the Charles University in Prague and then at the Comenius University in Bratislava , where he received his doctorate in mathematical statistics and then worked for the state social security and became head of the mathematical statistics department. From 1951 he also taught at the University of Economics in Bratislava , where he was rector from 1952 to 1958. From 1959 to 1964 he headed the newly established Mathematics Institute of the Slovak Academy of Sciences and from 1965 to 1969 he was head of the Applied Mathematics department of Comenius University and was also dean for a year. He had previously completed his habilitation on graph theory at Charles University in Prague in 1961. As a result of the crackdown on the Prague Spring, he emigrated to Canada. In 1969 he was visiting professor at the University of Calgary in Canada and in 1970 he went entirely to Canada as a professor at the University of Montreal .

He mainly dealt with graph theory , but also other areas of combinatorics such as combinatorial game theory, convex geometry and Latin squares. He is also known for a number of problems, such as the still unsolved Ringel-Kotzig conjecture with Gerhard Ringel . It is equivalent to the graceful lettering presumption that states that in every tree nodes in a certain way can be numbered: the edges can be uniquely identified by the values of the differences of the node numbers numbered ( Graceful Labeling , graceful labeling ).

Before moving to Canada, he published mainly in Slovak (around 60 essays and four books until 1969), so that some of his results were later rediscovered by others.

He was married and had a son.

Alexander Rosa (Slovak Academy of Sciences 1968), later professor at McMaster University, is one of his doctoral students .

literature

  • Alexander Rosa, Gerd Sabidussi, Jean Turgeon (Editor) Theory and practice of combinatorics: a collection of articles honoring Anton Kotzig on the occasion of his sixtieth birthday , North Holland 1982

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