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DTSTART:20230312T070000
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DTSTART;TZID=America/Toronto:20230828T113000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-dorian-smith
SUMMARY:Algebraic Graph Theory - Dorian Smith
CLASS:PUBLIC
DESCRIPTION:TITLE: Sandpile groups of cones over trees\n\nSPEAKER:\n Dorian
  Smith\n\nAFFILIATION:\n University of Minnesota Twin Cities\n\nLOCATION:\
 n Please contact Sabrina Lato for Zoom link\n\nABSTRACT: The sandpile gr
 oup  K(G) of a graph G is a finite abelian\ngroup\, isomorphic to the cok
 ernel of the reduced graph Laplacian of G.\nWe study K(G) when G = Cone(T)
  is obtained from a tree T on n vertices\nby attaching a new cone vertex a
 ttached to all other vertices. For two\nsuch families of graphs\, we will 
 describe K(G) exactly: the fan graphs\nCone(P_n) where  P_n is a path\, a
 nd the thagomizer graph Cone(S_n)\nwhere S_n is the star-shaped tree. The 
 motivation is that these two\nfamilies turn out to be extreme cases among 
 Cone(T) for all trees T on\nn vertices. 
DTSTAMP:20260404T054708Z
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