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» On connectivity of consecutive-d digraphs
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DM
2002
95views more  DM 2002»
13 years 7 months ago
On the superconnectivity of generalized p-cycles
A generalized p-cycle is a digraph whose set of vertices can be partitioned into p parts that are cyclically ordered in such a way that the vertices in one part are adjacent only ...
Camino Balbuena, Ignacio M. Pelayo, J. Góme...
CCCG
2008
13 years 9 months ago
Memory Requirements for Local Geometric Routing and Traversal in Digraphs
Local route discovery in geometric, strongly connected, undirected plane graphs is guaranteed by the Face Routing algorithm. The algorithm is local and geometric in the sense that...
Maia Fraser, Evangelos Kranakis, Jorge Urrutia
AAIM
2009
Springer
105views Algorithms» more  AAIM 2009»
14 years 2 months ago
On Acyclicity of Games with Cycles
We study restricted improvement cycles (ri-cycles) in finite positional n-person games with perfect information modeled by directed graphs (digraphs) that may contain cycles. We o...
Daniel Andersson, Vladimir Gurvich, Thomas Dueholm...
COMBINATORICA
2006
69views more  COMBINATORICA 2006»
13 years 7 months ago
Distance Sequences In Locally Infinite Vertex-Transitive Digraphs
We prove that the out-distance sequence {f+ (k)} of a vertex-transitive digraph of finite or infinite degree satisfies f+ (k + 1) f+ (k)2 for k 1, where f+ (k) denotes the numbe...
Wesley Pegden
NETWORKS
2002
13 years 7 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...