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DTSTART;TZID=UTC:20240214T153000
DTEND;TZID=UTC:20240214T163000
DTSTAMP:20260609T054037
CREATED:20240211T201100Z
LAST-MODIFIED:20240211T201216Z
UID:7549-1707924600-1707928200@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar
DESCRIPTION:Speaker: Andrew Beveridge\, Macalester College\nTitle: Approval Ballot Triangles\nTime: Wednesday\, February 14\, 3.30pm Atlantic time\nLive viewing for local participants in Chase 227\, Dalhousie University\n \nBertrand’s Ballot Problem enumerates the number of ways to count ballots so that candidate 1 never trails candidate 2. We generalize this problem by considering an approval ballot election between $n$ candidates. In an approval ballot election\, each voter endorses a subset of candidates\, rather than voting for just one person. The general approval ballot problem becomes: how many ways can the ballots be counted so that candidate $k$ never trails candidate $k+1$? This formulation yields a family of binary triangular arrays\, called approval ballot triangles (ABTs)\, that are in bijection with totally symmetric self-complementary plane partitions. We show that ABTs unify three different TSSCPP families of triangular arrays. We then further the connection between TSSCPPs and ballot problems by giving a decomposition of a strict-sense ballot into a list of sequentially compatible ABTs\n \nJoin Zoom Meeting\nhttps://us02web.zoom.us/j/86415230827?pwd=QUxLUnlMdWYzL05zSUJ4bnBCOUJnZz09\n \nMeeting ID: 864 1523 0827\nPasscode: 835547
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-11/
LOCATION:Online via Zoom
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="jeannette%20Janssen":MAILTO:jeannette.janssen@dal.ca
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