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FOCS
2006
IEEE
14 years 2 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff
GD
1997
Springer
14 years 29 days ago
Orthogonal 3-D Graph Drawing
This paper studies 3-D orthogonal grid drawings for graphs of arbitrary degree, in particular Kn, with vertices drawn as boxes. It establishes asymptotic lower bounds for the volu...
Therese C. Biedl, Thomas C. Shermer, Sue Whiteside...
SIAMDM
2008
79views more  SIAMDM 2008»
13 years 8 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
GC
2007
Springer
13 years 8 months ago
Rainbows in the Hypercube
Let Qn be a hypercube of dimension n, that is, a graph whose vertices are binary n-tuples and two vertices are adjacent iff the corresponding n-tuples differ in exactly one posit...
Maria Axenovich, Heiko Harborth, Arnfried Kemnitz,...
SPAA
1993
ACM
14 years 27 days ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout