RARE APPROXIMATION RATIOS Guy Kortsarz Rutgers University Camden Approximation Ratios NP-Hard problems Coping with the difficulty: approximation Minimization or ...
Approximation Algorithms for Non-Uniform Buy-at-Bulk Network Design Problems. Guy Kortsarz ... The algorithm iteratively finds a partial solution connecting ...
Comparing Min-Cost and Min-Power Connectivity Problems. Guy Kortsarz ... Comparing Power And Cost Spanning Tree Case. The case k = 1 is the ... Comparing the ...
Radio Broadcast. Undirected graph, v V wants to broadcast ... The radio broadcast problem. Given: a graph G,v. Find: a minimum number of rounds schedule. ...
Mohammad T. Hajiaghayi University of Maryland * * * * * Outline Buy-at-bulk Network Design Prize-collecting Network Design Bidimensionality Theory Steiner Trees ...
... of Computing, pages 134-143, 2000. Domatic Partition and Domatic Number ... coloring, Av,c is a Boolean that is true if there is no vertex of color c in N (v) ...
Classical Secretary. Goal: algorithm which gets (in expectation) value at least (1) of OPT. c-competitive: OPT / E[ALG] c. Impossible if values and ordering ...
Whom to marry, how to cook and where to buy gas: solving dilemmas of daily life, ... Whom to Marry? How to Cook? Where to buy gas? A few favorite projects of mine. ...
Real-world applications with deep algorithmic underpinnings and consequences ... Find a bipartite sub-graph G'(A' UB', E') where |A'|=a, |B'|=b and E' is an empty set. ...
... algorithms must be polynomial. 2. Formally - minimization. Let A be an approximation algorithm. ... Greedy algorithm. Choose the first center arbitrarily ...
W[1]-Hard problem. n ratio approximation. This problem is clearly finding a Directed Steiner tree and a reverse directed Steiner tree. The Directed Steiner Tree ...
Transitive-Closure Spanners. Arnab Bhattacharyya. MIT. Joint work with Elena Grigorescu MIT ... A subgraph H of a graph G is a k-spanner. if for all pairs of ...
Every vertex in B touched by OPT gets degopt(v)/2 coupons ... Every unmatched leaf (vertex in U) does have a coupon needed to 'pay' for the up link ...
If all si's (sources) are equal we have the single-source case (SS-BB) ... Instances are similar to BB k-Steiner tree: an undirected graph G(V,E), terminals T V, ...
... buy-at-bulk (MC-BB) ... Note that MC-BB is NP-hard. We study approximation ... This is very similar to SS-BB except that we have to find a lowest density ...
2 Brown-headed cowbird (Molothrus ater) eggs in a Blue-winged Warbler's nest. Mary Ashley studies the mating system of the Lemon sharks, Negaprion brevirostris ...
A disjoint partition of the vertices. of a graph is complete if ... properties an dnotions: Harmonious coloring, Graph contraction to clique, r reductions...