BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251121T114019EST-6724ezGuSB@132.216.98.100 DTSTAMP:20251121T164019Z DESCRIPTION:Matching Polynomials of Covers of Graphs.\n\nGiven a connected undirected graph G there is a notion of a cover H of G and degree of the c over.  If G is finite\, there are finitely many covers of fixed degree d\, and one can form interesting averages over the family of such covers. For example\, the average matching polynomial M_H(T) is something we call a d -matchings polynomial M_{d\,G}(T).  The same polynomial arises when one av erages the `new part' of the characteristic polynomial of the adjacency ma trix A(H) for covers of degree *d+1*.  We will elaborate on these points a nd discuss interesting number-theoretic properties possessed by M_{d\,G}(T ).  If time permits\, we will mention some open problems and also indicate other averages one might consider.\n DTSTART:20170324T143000Z DTEND:20170324T160000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Chris Wall\, UWO URL:/mathstat/channels/event/chris-wall-uwo-267231 END:VEVENT END:VCALENDAR