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EJC
2006
14 years 10 months ago
Improving diameter bounds for distance-regular graphs
In this paper we study the sequence (ci)0id for a distance-regular graph. In particular we show that if d 2j and cj = c > 1 then c2j > c holds. Using this we give improveme...
Sejeong Bang, Akira Hiraki, Jacobus H. Koolen
JCO
2007
76views more  JCO 2007»
14 years 10 months ago
Wide diameters of de Bruijn graphs
Abstract The wide diameter of a graph is an important parameter to measure faulttolerance of interconnection network. This paper proves that for any two vertices in de Bruijn undir...
Jyhmin Kuo, Hung-Lin Fu
CPC
2010
117views more  CPC 2010»
14 years 8 months ago
Diameters in Supercritical Random Graphs Via First Passage Percolation
We study the diameter of C1, the largest component of the Erdos-R
Jian Ding, Jeong Han Kim, Eyal Lubetzky, Yuval Per...
NETWORKS
2002
14 years 10 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...
JCT
2007
85views more  JCT 2007»
14 years 10 months ago
Separating systems and oriented graphs of diameter two
We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
Béla Bollobás, Alex D. Scott