Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, December 07, 2006, 12:15 pm

**Duration**: This information is not available in the database

**Location**: OAT S15/S16/S17

**Speaker**: Rico Zenklusen

Let G=(V,E,w) be a complete graph with n vertices and distinct positive edge
weights w. We fix a constant k \in {1,2,...,n-1}. For any subset of vertices
X of V with cardinality k-1 we denote by MST(G\X) the set of edges contained
in the minimum spanning tree in the subgraph G[V\X]. Goemans and Vondrak
observed that many edges in G have the property that they are not contained
in any minimum spanning tree of the form MST(G\X) where X is as described
above. More precisely let M_k be the set of edges contained in any minimum
spanning tree of the form MST(G\X), i.e. M_k=\cup_{X\subseteq V,
|X|=k-1} MST(G\X).

Goemans and Vondrak made the following conjecture:
|M_k| <= n*k-0.5*(k+1)*k.

A proof of this conjecture will be presented in this talk.

Joint work with Gregory B. Sorkin and Angelika Steger.

Upcoming talks | All previous talks | Talks by speaker | Upcoming talks in iCal format (beta version!)

Previous talks by year: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M | admin login