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UID:d762cf854d81300dd3f48957c7961f0f
CATEGORIES:Experimental Mathematics Seminar
CREATED:20220222T115917
SUMMARY:Combinatorial Exploration: An Algorithmic Framework for Enumeration
LOCATION:Zoom
DESCRIPTION:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; 
 text-indent: 0px; text-transform: none; white-space: normal; widows: 2; wor
 d-spacing: 0px;"><em>Abstract</em>: Combinatorial structures are ubiquitous
  throughout mathematics. Graphs, permutations, words, and other such famili
 es of combinatorial objects often play a central role in work from many dif
 ferent fields. The study of enumerative combinatorics is concerned with the
  elucidation of structural properties of these families, including counting
 , classification, and limiting behavior. Combinatorial Exploration is a fra
 mework that unifies the often ad-hoc methods used in enumerative combinator
 ics. In this talk we will explain how Combinatorial Exploration works, how 
 it can be automated, and how it is applied to the study of pattern-avoiding
  permutations to prove new results and reprove dozens of old ones. We will 
 also discuss the new web database PermPAL that catalogs these results</p>
CONTACT:Jay Pantone, Marquette University
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/94346444480\nPassword password: The 20
 th Catalan number, alias (40)!/(20!*21!), alias 6564120420
DTSTAMP:20260826T204157
DTSTART;TZID=America/New_York:20220310T170000
DTEND;TZID=America/New_York:20220310T180000
SEQUENCE:0
TRANSP:OPAQUE
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