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

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


Book Informaton

Author

Kirill Paramonov

Series

PhD thesis at University of California, Davis

Year of Publication

2018

Language

en

ARI Id

1673177241545


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Showing 1 to 20 of 24 entries
Chapters/HeadingsAuthor(s)PagesInfo
Chapter 1 Introduction
11 Crystals and type C Stanley Symmetric Functions
12 Cores with distinct parts and bigraded Fibonacci numbers
13 Estimating graphlet statistics via Lifting
Chapter 2 Crystal Analysis of type C Stanley Symmetric Functions
21 Crystal isomorphism
22 Explicit crystal operators on shifted primed tableaux
23 Implementation in Sage
24 Proof of Theorem 219
25 Proof of Theorem 221
26 Outlook
Chapter 3 Cores with distinct parts and bigraded Fibonacci numbers
31 Simultaneous cores with distinct parts
32 Maximum size of (a, a+1)-cores with distinct parts
33 Number of (2k-1, 2k+1)-cores with distinct parts
34 Graded Fibonacci numbers and (a, as+1)-cores with distinct parts
35 Bounce statistic and bigraded Fibonacci numbers
Chapter 4 Estimating Graphlet Statistics via Lifting
41 Prior sampling schemes
42 Subgraph lifting
Chapters/HeadingsAuthor(s)PagesInfo
Showing 1 to 20 of 24 entries
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