Thomas W. Tucker

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Thomas William Tucker (born July 15, 1945) is an American mathematician, the Charles Hetherington Professor of Mathematics at Colgate University, [1] and an expert in the area of topological graph theory. [2] [3]

Colgate University private liberal arts college

Colgate University is a private liberal arts college in Hamilton, New York. Founded in 1817, Colgate enrolls nearly 3,000 students in 56 undergraduate majors that culminate in a Bachelor of Arts degree; it also enrolls a dozen students in a Master of Arts in Teaching program.

In mathematics, topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological spaces. It also studies immersions of graphs.

Tucker did his undergraduate studies at Harvard University, graduating in 1967, [1] and obtained his Ph.D. from Dartmouth College in 1971, under the supervision of Edward Martin Brown. [4]

Harvard University private research university in Cambridge, Massachusetts, United States

Harvard University is a private Ivy League research university in Cambridge, Massachusetts, with about 6,700 undergraduate students and about 15,250 post graduate students. Established in 1636 and named for its first benefactor, clergyman John Harvard, Harvard is the United States' oldest institution of higher learning, and its history, influence, and wealth have made it one of the world's most prestigious universities.

Dartmouth College private liberal arts university in Hanover, New Hampshire, United States

Dartmouth College is a private Ivy League research university in Hanover, New Hampshire, United States. Established in 1769 by Eleazar Wheelock, it is the ninth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. Although founded as a school to educate Native Americans in Christian theology and the English way of life, Dartmouth primarily trained Congregationalist ministers throughout its early history. The university gradually secularized, and by the turn of the 20th century it had risen from relative obscurity into national prominence as one of the top centers of higher education.

Tucker's father, Albert W. Tucker, was also a professional mathematician, and his brother, Alan Tucker, and son, Thomas J. Tucker, are also professional mathematicians.

Albert W. Tucker American mathematician

Albert William Tucker was a Canadian mathematician who made important contributions in topology, game theory, and non-linear programming.

Alan Curtiss Tucker is an American mathematician. He is a professor of applied mathematics at Stony Brook University, and the author of a widely used textbook on combinatorics; he has also made research contributions to graph theory and coding theory. He has had four children, Katie, Lisa, Edward, and James.

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Tomaž (Tomo) Pisanski is a Slovenian mathematician working mainly in discrete mathematics and graph theory. In 1980 he calculated the genus of the Cartesian product of any pair of connected, bipartite, d-valent graphs using a method that was later called the White–Pisanski method. In 1982 Vladimir Batagelj and Pisanski proved that the Cartesian product of a tree and a cycle is Hamiltonian if and only if no degree of the tree exceeds the length of the cycle. They also proposed a conjecture concerning cyclic Hamiltonicity of graphs. Their conjecture was proved in 2005.

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A gain graph is a graph whose edges are labelled "invertibly", or "orientably", by elements of a group G. This means that, if an edge e in one direction has label g, then in the other direction it has label g −1. The label function φ therefore has the property that it is defined differently, but not independently, on the two different orientations, or directions, of an edge e. The group G is called the gain group, φ is the gain function, and the value φ(e) is the gain of e. A gain graph is a generalization of a signed graph, where the gain group G has only two elements. See Zaslavsky.

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  1. 1 2 Faculty web page, retrieved 2014-10-29.
  2. J. L. Gross and T. W. Tucker, Topological Graph Theory, Wiley Interscience, 1987
  3. Thomassen, Carsten (1988). "Review: Topological Graph Theory, by Jonathan L. Gross and Thomas W. Tucker" (PDF). Bull. Amer. Math. Soc. (N.S.). 19 (2): 560–561. doi:10.1090/s0273-0979-1988-15742-4.
  4. Thomas William Tucker at the Mathematics Genealogy Project