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X-WR-CALNAME:Centre for Mathematical Sciences
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X-WR-CALDESC:Events for Centre for Mathematical Sciences
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TZOFFSETFROM:+0000
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DTSTART:20170101T000000
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DTSTART;TZID=UTC:20170517T140000
DTEND;TZID=UTC:20170517T150000
DTSTAMP:20210423T110758
CREATED:20170512T115550Z
LAST-MODIFIED:20170512T115550Z
UID:2482-1495029600-1495033200@math-sciences.org
SUMMARY:Iain Moffatt (RHUL)
DESCRIPTION:The Tutte polynomial and its extensions\nThe Tutte polynomial is one of the most important\, and best studied\, graph polynomials. It is important not only because it encodes a large amount of combinatorial information about a graph\, but also because of its applications to areas such as statistical physics and knot theory. \nBecause of its importance the Tutte polynomial has been extended to various classes of combinatorial object. For some objects there is more than one definition of a “Tutte polynomial”. For example\, there are three different definitions for the Tutte polynomial of graphs in surfaces: M. Las Vergnas’ 1978 polynomial\, B. Bollobás and O. Riordan’s 2002 ribbon graph polynomial\, and V. Kruskal’s polynomial from 2011. On the other hand\, for some objects\, such as digraphs\, there is no wholly satisfactory definition of a Tutte polynomial. Why is this? Why are there three different Tutte polynomials of graphs in surfaces? Which can claim to be the Tutte polynomial of a graph in a surface? More generally\, what does it mean to be the Tutte polynomial of a class of combinatorial objects? In this talk I will describe a way to canonically construct Tutte polynomials of combinatorial objects\, and\, using this framework\, will offer answers to these questions.
URL:https://math-sciences.org/event/iain-moffatt-rhul/
LOCATION:to be announced
CATEGORIES:Pure Mathematics,Seminars
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