Extending perfect matchings to Hamiltonian cycles in graphs [2 ECTS, MAT/03] (Online)

Speaker:  Jean Paul Zerafa - Comenious University (Bratislava)
  Friday, July 8, 2022

A graph admitting a perfect matching is said to have the Perfect-Matching-Hamiltonian property if each one of its perfect matchings can be extended to a Hamiltonian cycle of the graph. This property was first introduced by Las Vergnas and Häggkvist in the 1970s, a decade after Ore proved one of the most well-known results regarding Hamiltonicity. The main scope of these lectures is to introduce the above property and to take a comprehensive look at results in this area. Open problems and ideas for future work shall also be discussed.

CALENDAR ZOOM MEETINGS (please write to giuseppe.mazzuoccolo@univr.it to ask the link):

-July 8th (prerecorded lecture)

-July 18th (live 9.30-12.00)

-July 20th (live 9.30-12.00)

-July 25th (live 9.30-12.00)

-July 27th (live 9.30-12.00)

Programme Director
Giuseppe Mazzuoccolo

Publication date
May 4, 2022