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DTSTART:20220101T000000
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DTSTART;TZID=UTC:20220126T153000
DTEND;TZID=UTC:20220126T163000
DTSTAMP:20260422T073330
CREATED:20220124T120023Z
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UID:6576-1643211000-1643214600@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar: Andrea Burgess (UNB)
DESCRIPTION:Mutually Orthogonal Cycle Systems\nA $k$-cycle system of order $n$ is a set of $k$-cycles whose edges partition the edge set of $K_n$.  We say that two cycle systems $\mathcal{C}$ and $\mathcal{C}’$ are {\em orthogonal} if every cycle in $\mathcal{C}$ shares at most one edge with each cycle in $\mathcal{C}’$.  Orthogonal cycle systems arise naturally from simple Heffter arrays and biembeddings of cycle decompositions. \nA collection of cycle systems is {\em mutually orthogonal} if any two of the systems are orthogonal.  In this talk\, we give bounds on the number of mutually orthogonal $k$-cycle systems of order $n$ and provide constructions for sets of mutually orthogonal cyclic cycle systems. \nThis is joint work with Nicholas Cavenagh and David Pike. \nJoin Zoom Meeting: link
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-andrea-burgess-unb/
LOCATION:Zoom seminar
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="Jason%20Brown":MAILTO:jason.brown@dal.ca
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