Leslie Hogben
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Leslie Hogben
Leslie Hogben is an American mathematician specializing in graph theory and linear algebra, and known for her mentorship of graduate students in mathematics. She is a professor of mathematics at Iowa State University, where she holds the Dio Lewis Holl Chair in Applied Mathematics; she is also professor (by courtesy) of electrical and computer engineering at Iowa State, associate dean for graduate studies and faculty development at Iowa State, and associate director for diversity at the American Institute of Mathematics. Education and career Hogben graduated '' summa cum laude'' in 1974 from Swarthmore College, and completed her Ph.D. in 1978 at Yale University. Her dissertation, ''Radical Classes of Jordan Algebras'', concerned ring theory and was supervised by Nathan Jacobson. She joined Iowa State University as a tenure-track instructor in 1978. There, she was tenured in 1983, promoted to full professor in 2006, and given the Dio Lewis Holl Chair in 2012. She added her courtesy ...
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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 connected by '' edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated wi ...
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