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DTSTART;TZID=UTC:20220202T153000
DTEND;TZID=UTC:20220202T163000
DTSTAMP:20260616T101748
CREATED:20220130T142415Z
LAST-MODIFIED:20220131T120204Z
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SUMMARY:Atlantic Graph Theory Seminar: Melissa Huggan (Mount Allison)
DESCRIPTION:The Orthogonal Colouring Game\nThe Orthogonal Colouring Game is a combinatorial game in which two players alternately colour vertices of a pair of isomorphic graphs while respecting the properness and the orthogonality of the colouring. Each player aims to maximize her score\, which is the number of coloured vertices in the copy of the graph she owns. An involution $\sigma$ of a graph $G$ is strictly matched if its fixed point set induces a clique and any non-fixed point $v \in V(G)$ is connected with its image $\sigma(v)$ by an edge. \nIn this talk\, we introduce the game and our main result that the second player has a strategy to force a draw in this game for graphs that admit a strictly matched involution. We will also give a structural characterization of graphs admitting a strictly matched involution. \nThis is joint work with Stephan Dominique Andres\, Francois Dross\, Fionn Mc Inerney\, and Richard J. Nowakowski. \nJoin Zoom Meeting: link \n 
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-melissa-huggan-mount-allison/
LOCATION:Zoom seminar
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="Jason Brown":MAILTO:jason.brown@dal.ca
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BEGIN:VEVENT
DTSTART;TZID=UTC:20220209T153000
DTEND;TZID=UTC:20220209T163000
DTSTAMP:20260616T101748
CREATED:20220207T121303Z
LAST-MODIFIED:20220207T121303Z
UID:6584-1644420600-1644424200@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar: Margaret-Ellen Messinger (Mount Allison University)
DESCRIPTION:Reconfiguration for Dominating Sets\n\nGiven a problem and a set of feasible solutions to that problem\, the associated  reconfiguration problem involves determining whether one feasible solution to the original problem can be transformed to a different feasible solution through a sequence of allowable moves\, with the condition that the intermediate stages are also feasible solutions.  Any reconfiguration problem can be modelled with a  reconfiguration graph\, where the vertices represent feasible solutions and two vertices are adjacent if and only if the corresponding feasible solutions can be transformed to each other via em one allowable move.The domination reconfiguration graph of a graph $G$\, denoted ${\mathcal D}(G)$\, has a vertex corresponding to each dominating set of $G$ and two vertices of ${\mathcal D}(G)$ are adjacent if and only if the corresponding dominating sets differ by the deletion or addition of a single vertex.  We are interested in properties of domination reconfiguration graphs. For example\, it is easy to see that they are always connected and bipartite.  We can also characterize exactly which graphs yield domination reconfiguration graphs with Eulerian circuits.  While none has a Hamilton cycle\, we explore families of graphs whose reconfiguration graphs have Hamilton paths.\n\n\nJoin Zoom Meeting: link\n\n 
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-margaret-ellen-messinger-mount-allison-university/
LOCATION:Zoom seminar
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="Jason Brown":MAILTO:jason.brown@dal.ca
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=UTC:20220216T153000
DTEND;TZID=UTC:20220216T163000
DTSTAMP:20260616T101748
CREATED:20220215T113731Z
LAST-MODIFIED:20220215T113757Z
UID:6608-1645025400-1645029000@aarms.math.ca
SUMMARY:Atlantic Graph Theory Seminar: Ferenc Bencs (University of Amsterdam)
DESCRIPTION:In this talk\, I will show regions that contain no complex zeros the edge-cover polynomials of hypergraphs. The edge cover polynomial of a graph $G$ is the generating function of edges that covers $V(G)$. It is known that the zeros of this polynomial have length at most $\frac{(2+\sqrt{3})^2}{1+\sqrt{3}}$\, that we strengthen by showing that it is at most $4$.  We use the general subgraph counting polynomial of Wagner to establish this result along with its generalization for the edge cover polynomial of hypergraphs. As another example\, we will establish a new bound on the length of the zeros of the domination and total domination polynomials of graphs in terms of the maximum degree.\n\n\n\n\n\nJoint work with P\’eter Csikv\’ari and  Guus Regts.
URL:https://aarms.math.ca/event/atlantic-graph-theory-seminar-ferenc-bencs-university-of-amsterdam/
LOCATION:Zoom seminar
CATEGORIES:AARMS Atlantic Graph Theory Seminar
ORGANIZER;CN="Jason Brown":MAILTO:jason.brown@dal.ca
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