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DTSTART;TZID=UTC:20201104T153000
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UID:5569-1604503800-1604507400@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar:  Dr Andrea Burgess (University of New Brunswick\, Saint John)
DESCRIPTION:Equitably colourable cycle decompositions\n A -colouring of a decomposition of a graph  is an assignment of  colours to the vertices of . A colouring is equitable if each colour is represented (as closely as possible) an equal number of times on each block\, i.e. for any two colours  and \, the number of vertices of colour  and  in any given block differ by at most 1. In this talk\, we give an overview of colourings of designs and cycle decompositions\, and present some recent joint results with Francesca Merola on the existence of equitably 2-colourable cycle decompositions of the cocktail party graph. In particular\, we give a complete existence result for equitably 2-colourable -cycle decompositions of  in various cases\, including that  or  (mod );  is a power of 2;  for  a prime power; or . \nThe Atlantic Graph Theory Seminar series will take place every Wednesday from 3:30-4:30 ADT online via zoom. The talks\, provided by researchers\, postdocs and graduate students\, will be on a variety of current topics in graph theory. If you would like to give a talk or attend\, please email one of the organizers (Jason Brown and Danielle Cox).
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-2020-11-04/
LOCATION:Zoom seminar
CATEGORIES:Atlantic Graph Theory Seminar
ORGANIZER;CN="Jason%20Brown":MAILTO:jason.brown@dal.ca
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