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» Group connectivity of graphs with diameter at most 2
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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
IPL
2007
96views more  IPL 2007»
13 years 4 months ago
Fault diameter of product graphs
The (k − 1)-fault diameter Dk(G) of a k-connected graph G is the maximum diameter of an induced subgraph by deleting at most k − 1 vertices from G. This paper considers the fa...
Jun-Ming Xu, Chao Yang
JCT
2010
95views more  JCT 2010»
13 years 3 months ago
Oriented diameter of graphs with diameter 3
In 1978, Chv´atal and Thomassen proved that every 2-edge-connected graph with diameter 2 has an orientation with diameter at most 6. They also gave general bounds on the smallest...
Peter K. Kwok, Qi Liu, Douglas B. West
COMBINATORICS
2006
169views more  COMBINATORICS 2006»
13 years 4 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung