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DTSTART:20240310T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20241021T113000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-ralihe-raul-villagran
SUMMARY:Algebraic Graph Theory-Ralihe Raul Villagran
CLASS:PUBLIC
DESCRIPTION:TITLE: Determinantal ideals of graphs\n\nSPEAKER:\n Ralihe Raul
  Villagran\n\nAFFILIATION:\n Worcester Polytechnic Institute\n\nLOCATION:\
 n Please contact Sabrina Lato for Zoom link.\n\nABSTRACT: Let $A$ ($D$) 
 denote the adjacency (distance) matrix of a\ngraph $G$ with $n$ vertices. 
 We define the $k$-th determinantal ideal\nof $M_X:=diag(x_1\,x_2\,\\ldots 
 \,x_n)+M$ as the ideal generated by all of\nits minors of size $k\\leq n$.
  If $M=A$\, we call this the $k$-th\ncritical ideals of $G$. On the other 
 hand\, if $M=D$\, we call it the\n$k$-th distance ideals of $G$. These alg
 ebraic objects are related to\nthe spectrum of their corresponding graph m
 atrices\, their Smith normal\nform\, and in consequence to their sandpile 
 group for instance. In this\ntalk\, we will explore some of the properties
  and applications of these\nideals. 
DTSTAMP:20260403T084106Z
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