An Introduction to Cwatsets and Graphs

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Show simple item record Davis, Matthew Ray, Brian 2020-09-01T18:19:31Z 2020-09-01T18:19:31Z 2004
dc.identifier.citation Davis, M. & Ray, B. (2004). An Introduction to Cwatsets and Graphs. Mathematics Exchange, 2(2), 56-65 en_US
dc.description Article published in Mathematics Exchange, 2(2), 2004. en_US
dc.description.abstract The first cwatset was discovered in 1987 by Erich Friedman, then a student at Rose-Hulman Institute of Technology. Cwatsets were originally developed for statistical purposes, as a means of creating typical subsamples from sets that are not groups [1]. However, as the subject developed, it began to take on a much more algebraic flavor. Now, it is studied as much for its intrinsic value as an algebraic structure as for its statistical applications. Cwatsets have many parallels to group theory, and much of the study of the subject exploits group-theoretic results to yield more information about cwatsets. Interestingly enough, the subject has been developed almost exclusively by undergraduates, mostly students at Rose-Hulman and participants in programs at that school. Recently, relationships between cwatsets and graph theory have begun to arise. This paper is an introduction to the subject of cwatsets and explores some of these relationships with graph theory.1 en_US
dc.title An Introduction to Cwatsets and Graphs en_US
dc.type Article en_US

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