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» Diameter and connectivity of 3-arc graphs
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DM
2010
132views more  DM 2010»
13 years 4 months ago
Diameter and connectivity of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
Martin Knor, Sanming Zhou
WG
2009
Springer
13 years 9 months ago
Cycles, Paths, Connectivity and Diameter in Distance Graphs
Lucia Draque Penso, Dieter Rautenbach, Jayme Luiz ...
NETWORKS
2002
13 years 4 months ago
Superconnected digraphs and graphs with small conditional diameters
The conditional diameter D of a digraph G measures how far apart a pair of vertex sets V1 and V2 can be in such a way that the minimum out-degree and the minimum in-degree of the ...
Camino Balbuena, Josep Fàbrega, Xavier Marc...
APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
13 years 10 months 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
DM
2007
136views more  DM 2007»
13 years 4 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote