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COMPGEOM
1993
ACM
13 years 11 months ago
Worst-Case Bounds for Subadditive Geometric Graphs
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...
Marshall W. Bern, David Eppstein
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 10 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
IPPS
2005
IEEE
14 years 1 months ago
Tight Bounds for Wavelength Assignment on Trees of Rings
: A fundamental problem in communication networks is wavelength assignment (WA): given a set of routing paths on a network, assign a wavelength to each path such that the paths wit...
Zhengbing Bian, Qian-Ping Gu, Xiao Zhou
ESA
2005
Springer
135views Algorithms» more  ESA 2005»
14 years 29 days ago
Approximation Complexity of min-max (Regret) Versions of Shortest Path, Spanning Tree, and Knapsack
This paper investigates, for the first time in the literature, the approximation of min-max (regret) versions of classical problems like shortest path, minimum spanning tree, and ...
Hassene Aissi, Cristina Bazgan, Daniel Vanderpoote...
CPC
2007
97views more  CPC 2007»
13 years 7 months ago
On an Online Spanning Tree Problem in Randomly Weighted Graphs
Abstract. This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. We assume that the input graph is complete and the edge weigh...
Jan Remy, Alexander Souza, Angelika Steger