<div dir="ltr"><div><span style="color:rgb(0,0,0)">Dear all,</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)">For the <i>next appointment</i> of the series of seminars "Insalate di Matematica", <b>Maruša Lekše</b> (University of Ljubljana) will give a talk. </span></div><div dir="auto"><span style="color:rgb(0,0,0)">The speaker will deliver the talk <u>in presence</u> and the meeting will also be broadcasted <u>online</u> (see below for more information).</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><div dir="auto"><span style="color:rgb(0,0,0)">Here the details:</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><u>Date and time</u>: <b>31st of January 2024, 4:30 pm (CET)</b></span></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Title</u>: <span style="background-color:rgb(255,229,153)">"</span></font><span style="background-color:rgb(255,229,153)">The spouse loving variant of the Oberwolfach problem</span><font color="#000000"><span style="background-color:rgb(255,229,153)">"</span></font></div><div dir="auto"><font color="#000000"><span style="background-color:rgb(255,229,153)"><br></span></font></div><div dir="auto"><font color="#000000"><u>Abstract</u>:</font> The Oberwolfach problem asks the following: given a 2-factor F of the
complete graph Kn, does there exist a decomposition of Kn into graphs
isomorphic to F? It was asked by Gerhard Ringel in 1967, and it models a
situation where the participants at a conference in Oberwolfach are
having dinner together every evening in a room with round tables of
different sizes, and they want to find a seating arrangement such that
over an appropriate amount of meals, every participant sits next to
every other participant exactly once. A lot of results have been
obtained on this problem and its variants, but in general it is still
unsolved. In this talk we will focus on the spouse loving variant of the
problem, in which we are looking for decompositions of a complete graph
with the edges of a 1-factor duplicated.</div><div dir="auto"><br></div><div dir="auto"><font color="#000000"><u>Keywords:</u></font> Graph theory, Graph decomposition, Oberwolfach problem</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><u><b>Information to attend in room 3014</b></u></div><div dir="auto">The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend online<br></b></u></div><div dir="auto"><a href="https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad</a> (password: insalate, 46725283 from phones)</div><div dir="auto"><br></div><div dir="auto"><div dir="auto">You can find the poster of the event in the attachment. </div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><div dir="auto"><font color="#000000">The organizers: Ettore Marmo, Simone Gallivanone, Fabio Mastrogiacomo, Marco Fusari, Tommaso Toti and Matteo Tarocchi.</font></div></div></div></div></div></div></div></div>