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SWAT
1994
Springer
86views Algorithms» more  SWAT 1994»
14 years 24 days ago
Sequential and Parallel Algorithms for Embedding Problems on Classes of Partial k-Trees
We present sequential and parallel algorithms for various embedding problems on bounded degree partial k-trees and k-connected partial k-trees these include subgraph isomorphism a...
Arvind Gupta, Naomi Nishimura
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 9 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
CORR
2010
Springer
338views Education» more  CORR 2010»
13 years 8 months ago
Optimal Distributed P2P Streaming under Node Degree Bounds
We study the problem of maximizing the broadcast rate in peer-to-peer (P2P) systems under node degree bounds, i.e., the number of neighbors a node can simultaneously connect to is ...
Shaoquan Zhang, Ziyu Shao, Minghua Chen
CORR
2010
Springer
59views Education» more  CORR 2010»
13 years 8 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
14 years 2 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar