From 1adb3225feb9f2151cd94bb573c587a6197d7b40 Mon Sep 17 00:00:00 2001 From: Edgar Bering Date: Sat, 13 Mar 2010 20:39:59 -0500 Subject: [PATCH] egrant --- events.xml | 27 +++++++++++++++++++++++++++ 1 file changed, 27 insertions(+) diff --git a/events.xml b/events.xml index e956ed1..74e0299 100644 --- a/events.xml +++ b/events.xml @@ -4,6 +4,33 @@ + + +

The fifth installment in CS10: Undergraduate Seminars in CS, features CSC member Elyot Grant introducing the theory of approximation algorithms. Fun times and a lack of gruesome math are promised. +

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The theory of NP-completeness suggests that some problems in CS are inherently hard—that is, +there is likely no possible algorithm that can efficiently solve them. Unfortunately, many of +these problems are ones that people in the real world genuinely want to solve! How depressing! +What can one do when faced with a real-life industrial optimization problem whose solution may +save millions of dollars but is probably impossible to determine without trillions of +years of computation time? +

One strategy is to be content with an approximate (but provably "almost ideal") solution, and from +here arises the theory of approximation algorithms. However, this theory also has a depressing side, +as many well-known optimization problems have been shown to be provably hard to approximate well. +

This talk shall focus on the depressing. We will prove that various optimization problems (such as +traveling salesman and max directed disjoint paths) are impossible to approximate well unless P=NP. +These proofs are easy to understand and are REALLY COOL thanks to their use of very slick reductions. +

We shall explore many NP-hard optimization problems and state the performance of the best known +approximation algorithms and best known hardness results. Tons of open problems will be mentioned, +including the unique games conjecture, which, if proven true, implies the optimality of many of the +best known approximation algorithms for NP-complete problems like MAX-CUT and INDEPENDENT SET. +

I promise fun times and no gruesome math. Basic knowledge of graph theory and computational +complexity might help but is not required. +

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A fevered night of code, friends, fun, energy drinks, and the CSC.