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020 ▼a 9780438290310
035 ▼a (MiAaPQ)AAI10822760
035 ▼a (MiAaPQ)ucdavis:17865
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Paramonov, Kirill.
24510 ▼a Essays in Combinatorics: Crystals on Shifted Primed Tableaux, Bigraded Fibonacci Numbers and Data Mining on Social Graphs.
260 ▼a [S.l.]: ▼b University of California, Davis., ▼c 2018.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2018.
300 ▼a 99 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: Anne Schilling.
5021 ▼a Thesis (Ph.D.)--University of California, Davis, 2018.
520 ▼a 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.
520 ▼a 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
520 ▼a 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
520 ▼a 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
590 ▼a School code: 0029.
650 4 ▼a Mathematics.
650 4 ▼a Statistics.
690 ▼a 0405
690 ▼a 0463
71020 ▼a University of California, Davis. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0029
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998507 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033