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» The Complexity of Graph Connectivity
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CORR
2010
Springer
103views Education» more  CORR 2010»
15 years 6 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...
CORR
2010
Springer
81views Education» more  CORR 2010»
15 years 6 months ago
On the size of identifying codes in triangle-free graphs
In an undirected graph G = (V, E), a subset C V such that C is a dominating set of G, and each vertex in V is dominated by a distinct subset of vertices from C, is called an iden...
Florent Foucaud, Ralf Klasing, Adrian Kosowski, An...
CORR
2007
Springer
104views Education» more  CORR 2007»
15 years 6 months ago
Double Clustering and Graph Navigability
Graphs are called navigable if one can find short paths through them using only local knowledge. It has been shown that for a graph to be navigable, its construction needs to mee...
Oskar Sandberg
167
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APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
16 years 2 days ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
COMPGEOM
1992
ACM
15 years 10 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar