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<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=3
face="Times New Roman"><span style='font-size:12.0pt;font-weight:bold;
mso-bidi-font-weight:normal'>TTI-C Guest Speaker<o:p></o:p></span></font></b></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Presented by: <st1:City w:st="on">Toyota</st1:City> Technological
Institute at <st1:City w:st="on"><st1:place w:st="on">Chicago</st1:place></st1:City><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Speaker: Sanjeev Khannna<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Speaker’s home page: <a href="http://www.cis.upenn.edu/~sanjeev/">http://www.cis.upenn.edu/~sanjeev/</a><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Date: Tuesday, October 9, 2007<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Time: 11:00<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>Location: TTI-C Conference room, 2<sup>nd</sup> floor<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=3
face="Times New Roman"><span style='font-size:12.0pt;font-weight:bold;
mso-bidi-font-weight:normal'>Title</span></font></b>: Disjoint Paths in
Networks<o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=3
face="Times New Roman"><span style='font-size:12.0pt;font-weight:bold;
mso-bidi-font-weight:normal'>Abstract:<o:p></o:p></span></font></b></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>A fundamental problem in combinatorial optimization is the
edge-disjoint paths problem (EDP).<span style='mso-spacerun:yes'> </span>We
are given a network and a collection of source-destination pairs in the
network.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>The goal is to maximize the number of pairs that <span class=GramE>can
be connected</span> by edge-disjoint paths.<span
style='mso-spacerun:yes'> </span>Even special cases of EDP correspond to
non-trivial optimization problems, and the problem becomes NP-hard in very
restricted settings.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>In this talk, we will survey some recent progress on understanding the
approximability threshold of EDP and its variants<span class=GramE>. </span>While
the recent developments have essentially resolved the approximability of EDP
and related problems in directed graphs, the status of the undirected case
remains wide open.<span style='mso-spacerun:yes'> </span>We will describe
a promising framework for getting much-improved algorithms for undirected EDP
when some congestion is allowed.<span style='mso-spacerun:yes'> </span>In
particular, we will highlight a conjecture whose resolution <span class=GramE>is
strongly tied</span> to the approximability of the undirected case, and describe
some results that lend support to this conjecture.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>If you have any questions or would like to meet the speaker, please
contact Ponda Barnes at <a href="mailto:pondabarnes@tti-c.org">pondabarnes@tti-c.org</a>.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>For future <span class=GramE>TTI-C</span> events please visit <a
href="http://ttic.uchicago.edu/cal/month.php">http://ttic.uchicago.edu/cal/month.php</a>
. (TTI-C <st1:Street w:st="on"><st1:address w:st="on">1427 E. 60<sup>th</sup> Street</st1:address></st1:Street>)<o:p></o:p></span></font></p>
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