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» Edge Disjoint Paths in Moderately Connected Graphs
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SODA
2000
ACM
96views Algorithms» more  SODA 2000»
13 years 10 months ago
Improved Steiner tree approximation in graphs
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
Gabriel Robins, Alexander Zelikovsky
ISAAC
2003
Springer
96views Algorithms» more  ISAAC 2003»
14 years 1 months ago
On the Geometric Dilation of Finite Point Sets
Let G be an embedded planar graph whose edges may be curves. For two arbitrary points of G, we can compare the length of the shortest path in G connecting them against their Euclid...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
IWPEC
2004
Springer
14 years 2 months ago
Chordless Paths Through Three Vertices
Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
Robert Haas, Michael Hoffmann
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 7 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
IPL
2007
87views more  IPL 2007»
13 years 8 months ago
The forwarding indices of augmented cubes
For a given connected graph G of order n, a routing R in G is a set of n(n − 1) elementary paths specified for every ordered pair of vertices in G. The vertex (resp. edge) forw...
Min Xu, Jun-Ming Xu