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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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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Essays in Combinatorics: Crystals on Shifted Primed Tableaux, Bigraded Fibonacci Numbers and Data Mining on Social Graphs. |
| 개인저자 | Paramonov, Kirill. |
| 단체저자명 | University of California, Davis. Mathematics. |
| 발행사항 | [S.l.]: University of California, Davis., 2018. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
| 형태사항 | 99 p. |
| 기본자료 저록 | Dissertation Abstracts International 80-01B(E). Dissertation Abstract International |
| ISBN | 9780438290310 |
| 학위논문주기 | Thesis (Ph.D.)--University of California, Davis, 2018. |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Anne Schilling. |
| 요약 | This 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. |
| 요약 | The 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 |
| 요약 | In 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 |
| 요약 | In 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 |
| 일반주제명 | Mathematics. Statistics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
