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ALGORITHMICA
2006
103views more  ALGORITHMICA 2006»
13 years 10 months ago
Recognizing Hole-Free 4-Map Graphs in Cubic Time
We present a cubic-time algorithm for the following problem: Given a simple graph, decide whether it is realized by adjacencies of countries in a map without holes, in which at mo...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
ALGORITHMICA
2006
161views more  ALGORITHMICA 2006»
13 years 10 months ago
The Expected Size of the Rule k Dominating Set
Dai, Li, and Wu proposed Rule k, a localized approximation algorithm that attempts to find a small connected dominating set in a graph. In this paper we consider the "average...
Jennie C. Hansen, Eric Schmutz, Li Sheng
ALGORITHMICA
2005
99views more  ALGORITHMICA 2005»
13 years 9 months ago
Improved Approximation Algorithms for the Quality of Service Multicast Tree Problem
Abstract. The Quality of Service Multicast Tree Problem is a generalization of the Steiner tree problem which appears in the context of multimedia multicast and network design. In ...
Marek Karpinski, Ion I. Mandoiu, Alexander Olshevs...
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
13 years 9 months ago
Diameter and Treewidth in Minor-Closed Graph Families, Revisited
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
ALGORITHMICA
2004
103views more  ALGORITHMICA 2004»
13 years 9 months ago
Primal-Dual Algorithms for Connected Facility Location Problems
We consider the Connected Facility Location problem. We are given a graph G = (V, E) with costs {ce} on the edges, a set of facilities F V , and a set of clients D V . Facility ...
Chaitanya Swamy, Amit Kumar