Monday
April 18
4:00 - 4:50 PM 
Kelley 1001

Gordon Wilfong 
Algorithms Research Group
Bell Labs


Constrained Connectivity

The Border Gateway Protocol (BGP) is the de facto interdomain routing protocol 
used by routers to exchange routing information in the Internet. Internal BGP 
(iBGP) is a version of BGP that exchanges external reachability information 
within an Autonomous System (AS). Our work is motivated by the problem of 
trying to minimize the size of an iBGP overlay in an Autonomous System (AS) 
subject to a natural notion of correctness derived from the standard 
"hot-potato" routing rules. In particular, we study a new connectivity-based 
network design problem that we call Constrained Connectivity. In this problem 
we are given a graph G=(V,E), and for every pair of vertices u,v in V we are 
given a subset S(u,v) of V called the safe set of the pair. The goal is to find 
the smallest subgraph H=(V,F) of G in which every pair of vertices u,v is 
connected by a path contained in S(u,v). We show that the problem of minimizing 
an iBGP overlay can be reduced to Constrained Connectivity. The talk wi!
ll begin with a general overview of iBGP. An approximation algorithm as well as 
hardness of approximation results for Constrained Connectivity will then be 
described. This is joint work with Mike Dinitz (Weizmann Institute).


Biography

Gordon Wilfong is a Distinguished Member of Technical Staff in the Algorithms 
Research Group at Bell Labs in Alcatel-Lucent. His broad research interests are 
in algorithm design and analysis. His current areas of focus are protocol 
analysis, routing, and the development of game theoretic network models. He 
received his B.Sc., First Class Honours, in mathematics from Carleton 
University in 1980 and his M.S. and Ph.D. in computer science from Cornell 
University in 1983 and 1984 respectively.


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