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» Lower connectivities of regular graphs with small diameter
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DM
2007
136views more  DM 2007»
14 years 10 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
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
14 years 10 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
83
Voted
NETWORKS
2002
14 years 9 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...
COMBINATORICS
2002
83views more  COMBINATORICS 2002»
14 years 10 months ago
Identifying Codes with Small Radius in Some Infinite Regular Graphs
Let G = (V, E) be a connected undirected graph and S a subset of vertices. If for all vertices v V , the sets Br(v) S are all nonempty and different, where Br(v) denotes the set...
Irène Charon, Olivier Hudry, Antoine Lobste...
ALGORITHMICA
2007
117views more  ALGORITHMICA 2007»
14 years 10 months ago
Random Geometric Graph Diameter in the Unit Ball
The unit ball random geometric graph G = Gd p(λ, n) has as its vertices n points distributed independently and uniformly in the unit ball in Rd, with two vertices adjacent if and ...
Robert B. Ellis, Jeremy L. Martin, Catherine H. Ya...