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JCT
2008
100views more  JCT 2008»
13 years 4 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
IPL
2008
95views more  IPL 2008»
13 years 4 months ago
Distortion lower bounds for line embeddings
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...
Claire Mathieu, Charalampos Papamanthou
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 4 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
JGAA
1998
116views more  JGAA 1998»
13 years 4 months ago
New Lower Bounds For Orthogonal Drawings
An orthogonal drawing of a graph is an embedding of the graph in the two-dimensional grid such that edges are routed along grid-lines. In this paper we explore lower bounds for or...
Therese C. Biedl
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 7 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein