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» On the hyperbolicity constant in graphs
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COMBINATORICA
2007
117views more  COMBINATORICA 2007»
15 years 6 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
VLDB
2002
ACM
264views Database» more  VLDB 2002»
15 years 5 months ago
Viator - A Tool Family for Graphical Networking and Data View Creation
Web-based data sources, particularly in Life Sciences, grow in diversity and volume. Most of the data collections are equipped with common document search, hyperlink and retrieval...
Stephan Heymann, Katja Tham, Axel Kilian, Gunnar W...
CORR
2010
Springer
180views Education» more  CORR 2010»
15 years 3 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
ICALP
2003
Springer
15 years 11 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
JAL
2006
100views more  JAL 2006»
15 years 6 months ago
Distance and routing labeling schemes for non-positively curved plane graphs
Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices u and v can be determined effic...
Victor Chepoi, Feodor F. Dragan, Yann Vaxès