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URL:/combinatorics-and-optimization/events/graphs-and-m
 atroids-seminar-josephine-reynes-0
SUMMARY:Graphs and Matroids Seminar - Josephine Reynes
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE: The Tutte Polynomial\, Bipartite Representat
 ions of Graphs\, and\nGrid Walking \n\nSPEAKER:\n Josephine Reynes\n\nAFF
 ILIATION:\n University of À¶Ý®ÊÓƵ\n\nLOCATION:\n MC 5417\n\nABSTRACT: The
  Tutte Polynomial has many equivalent definitions. It can\nbe defined by a
  deletion-contraction relation with the terms\ndetermined by the sequence 
 of contractions\, deletions\, loops\, and\nisthmi. This definition is inde
 pendent of edge order. Another\ndefinition relies on a fixed edge ordering
  and examines the edge\nactivities over maximal spanning forests. There is
  a direct\nrelationship between edge activity and deletion/contraction for
  a\ngiven edge ordering. Furthermore\, the monomials of the Tutte\npolynom
 ial can be interpreted as grid walks. This allows for an\napproach to the 
 Tutte polynomial on hypergraphs by examining the grid\nwalks of the bipar
 tite representation of the graph. \n 
DTSTAMP:20250521T031703Z
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