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» Minimum Cycle Bases in Graphs Algorithms and Applications
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154
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COCOA
2009
Springer
15 years 10 months ago
A PTAS for Node-Weighted Steiner Tree in Unit Disk Graphs
Abstract. The node-weighted Steiner tree problem is a variation of classical Steiner minimum tree problem. Given a graph G = (V, E) with node weight function C : V → R+ and a sub...
Xianyue Li, Xiao-Hua Xu, Feng Zou, Hongwei Du, Pen...
150
Voted
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
15 years 5 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...
IPL
2008
68views more  IPL 2008»
15 years 3 months ago
The hub number of a graph
A hub set in a graph G is a set U V (G) such that any two vertices outside U are connected by a path whose internal vertices lie in U. We prove that h(G) hc(G) c(G) h(G) + 1, ...
Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bil...
JGAA
2000
179views more  JGAA 2000»
15 years 3 months ago
Approximation Algorithms for Some Graph Partitioning Problems
This paper considers problems of the following type: given an edgeweighted k-colored input graph with maximum color class size c, find a minimum or maximum c-way cut such that eac...
George He, Jiping Liu, Cheng Zhao
MICAI
2005
Springer
15 years 9 months ago
Directed Cycles in Bayesian Belief Networks: Probabilistic Semantics and Consistency Checking Complexity
Although undirected cycles in directed graphs of Bayesian belief networks have been thoroughly studied, little attention has so far been given to a systematic analysis of directed ...
Alexander L. Tulupyev, Sergey I. Nikolenko