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DM
2006
122views more  DM 2006»
13 years 7 months ago
Labeling trees with a condition at distance two
An L(h, k)-labeling of a graph G is an integer labeling of vertices of G, such that adjacent vertices have labels which differ by at least h, and vertices at distance two have lab...
Tiziana Calamoneri, Andrzej Pelc, Rossella Petresc...
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 1 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis
IJCM
2002
92views more  IJCM 2002»
13 years 7 months ago
Random-tree Diameter and the Diameter-constrained MST
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
Ayman Abdalla, Narsingh Deo
LATIN
2010
Springer
14 years 2 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
FOCS
2008
IEEE
14 years 2 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon