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UID:www.tcs.tifr.res.in/event/664
DTSTAMP:20230914T125933Z
SUMMARY:Exact and Approximation Algorithms for Weighted Matroid Intersecti
on
DESCRIPTION:Speaker: Chien-Chung Huang (Chalmers University of Technology\n
Department of Computer Science and Engineering\nSE-412 96 Gothenburg\nSwed
en)\n\nAbstract: \nAbstract: We propose new exact and approximation algori
thms for the weighted matroid intersection problem. Our exact algorithm is
faster than previous algorithms when the largest weight is relatively sma
ll. Our approximation algorithm delivers a $(1-\\epsilon)$-approximate
solution with a running time significantly faster than most known exact a
lgorithms.\n\nThe core of our algorithms is a decomposition technique: we
decompose an instance of the weighted matroid intersection problem into a
set of instances of the unweighted matroid intersection problem. The compu
tational advantage of this approach is that we can make use of fast unweig
hted matroid intersection algorithms as a black box for designing algorith
ms. Precisely speaking\, we prove that we can solve the weighted matroid i
ntersection problem via solving $W$ instances of the unweighted matroid in
tersection problem\, where $W$ is the largest given weight. Furthermore\,
we can find a $(1-\\epsilon)$-approximate solution via solving $O(\\epsilo
n^{-1} \\log r)$ instances of the unweighted matroid intersection problem\
, where $r$ is the smallest rank of the given two matroids.\n\nBio: Chien-
Chung Huang is currently an assistant professor at Chalmers University o
f Technology in Sweden. He obtained his Ph.D. at Dartmouth College in 2008
\, under the supervision of Peter Winkler. He works in the area of algorit
hm design nd analysis. The major topics that he has worked on include st
able matching\, machine scheduling\, and selfish routing games.\n
URL:https://www.tcs.tifr.res.in/web/events/664
DTSTART;TZID=Asia/Kolkata:20160315T160000
DTEND;TZID=Asia/Kolkata:20160315T170000
LOCATION:A-201 (STCS Seminar Room)
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