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» On the hyperbolicity constant in graphs
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SAGA
2007
Springer
16 years 8 days ago
Approximate Discovery of Random Graphs
In the layered-graph query model of network discovery, a query at a node v of an undirected graph G discovers all edges and non-edges whose endpoints have different distance from ...
Thomas Erlebach, Alexander Hall, Matús Miha...
STOC
2012
ACM
185views Algorithms» more  STOC 2012»
13 years 8 months ago
Subspace evasive sets
In this work we describe an explicit, simple, construction of large subsets of Fn , where F is a finite field, that have small intersection with every k-dimensional affine subsp...
Zeev Dvir, Shachar Lovett
ICALP
2011
Springer
14 years 9 months ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali
JGT
2010
113views more  JGT 2010»
15 years 4 months ago
Crossing numbers of imbalanced graphs
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
János Pach, József Solymosi, G&aacut...
DM
2008
88views more  DM 2008»
15 years 6 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Tobias Müller, Attila Pór, Jean-S&eacu...