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Essays in Combinatorics: Crystals on Shifted Primed Tableaux, Bigraded Fibonacci Numbers and Data Mining on Social Graphs

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자료유형E-Book
개인저자Paramonov, Kirill.
단체저자명University of California, Davis. Mathematics.
서명/저자사항Essays in Combinatorics: Crystals on Shifted Primed Tableaux, Bigraded Fibonacci Numbers and Data Mining on Social Graphs.
발행사항[S.l.] : University of California, Davis., 2018
발행사항Ann Arbor : ProQuest Dissertations & Theses, 2018
형태사항99 p.
소장본 주기School code: 0029.
ISBN9780438290310
일반주기 Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Anne Schilling.
요약This dissertation consists of three research projects in combinatorics, which come from three distinct branches: algebraic combinatorics, enumerative combinatorics and application of combinatorics to graph data mining.
요약The first project explores the Schur decomposition of type C Stanley symmetric functions via crystal structure on shifted primed tableaux. We present a connection between unimodal factorizations that form type C Stanley symmetric functions, and
요약In the second project we explore combinatorial properties of simultaneous (a,b)-cores with distinct parts. We use the bijections between (a,b)-cores and abacus diagrams to give another proof that the number of (a,a+1)-cores with distinct parts i
요약In the third project, we develop new method of estimating the number of appearances of a specific motif (like wedge or triangle) in a graph. The method uses Horowitz-Thompson inverse probability weighting for the subgraphs sampled in a procedure
일반주제명Mathematics.
Statistics.
언어영어
기본자료 저록Dissertation Abstracts International80-01B(E).
Dissertation Abstract International
대출바로가기http://www.riss.kr/pdu/ddodLink.do?id=T14998507

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