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TZID:Europe/Vienna
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DTSTART:20200329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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DTSTART:20191027T020000
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BEGIN:VEVENT
DTSTAMP:20260406T042314Z
UID:5d97073d3a999511839247@ist.ac.at
DTSTART:20191115T110000
DTEND:20191115T120000
DESCRIPTION:Speaker: Taihei Oki\nhosted by Vladimir Kolmogorov\nAbstract: T
 he celebrated matrix-tree theorem\, which is to count the number of spanni
 ng trees in graphs\, is a theorem essentially for counting bases of genera
 l regular matroids. Webb (2004) introduced the notion of Pfaffian pairs as
  a pair of regular matroids for which counting of their common bases is tr
 actable through the matrix-tree theorem. This class can represent a bunch 
 of important combinatorial structures\, such as spanning trees\, arboresce
 nces\, Euler tours in 4-regular digraphs and perfect matchings in K_{3\,3}
 -free bipartite graphs. In this talk\, as an application of the matrix-tre
 e theorem for Pfaffian pairs\, we present deterministic polynomial-time al
 gorithms for several counting problems: exact\, group-labeled and weighted
  problem settings.
LOCATION:Mondi Seminar Room 3\, Central Building\, ISTA
ORGANIZER:kharppre@ist.ac.at
SUMMARY:Taihei Oki: A generalized matrix-tree theorem for Pfaffian pairs
URL:https://talks-calendar.ista.ac.at/events/2353
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