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» The upper bound on k-tuple domination numbers of graphs
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DAM
2007
70views more  DAM 2007»
13 years 8 months ago
Path-kipas Ramsey numbers
For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
A. N. M. Salman, H. J. Broersma
SIAMDM
2000
69views more  SIAMDM 2000»
13 years 8 months ago
Bounds for Dispersers, Extractors, and Depth-Two Superconcentrators
We show that the size of the smallest depth-two N-superconcentrator is (N log2 N/ log log N). Before this work, optimal bounds were known for all depths except two. For the upper b...
Jaikumar Radhakrishnan, Amnon Ta-Shma
JGT
2010
91views more  JGT 2010»
13 years 6 months ago
Choosability of toroidal graphs without short cycles
: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...
Leizhen Cai, Weifan Wang, Xuding Zhu
JGT
2008
97views more  JGT 2008»
13 years 8 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
DAM
2006
47views more  DAM 2006»
13 years 8 months ago
Trees of extremal connectivity index
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...
Huiqing Liu, Mei Lu, Feng Tian