Supported by the National Natural Science Foundation of China (Grant No.60773078);the Natural Science Foundation of Anhui Provincial Education Department (No.KJ2011B090)
A set D of vertices in a graph G = (V, E) is a locating-dominating set (LDS) if for every two vertices u, v of V / D the sets N(u) ∩D and N(v) ∩ D are non-empty and different. The locating-domination number...
Supported by National Natural Science Foundation of China (Grant No. 60773078), the PuJiang Project of Shanghai (Grant No. 09PJ1405000) and Key Disciplines of Shanghai Municipality (Grant No. $30104)
A clique-transversal set D of a graph C is a set of vertices of G such that D meets all cliques of G. The clique-transversal number, denoted by To(G), is the minimum cardinality of a clique- transversal set in G. In...
Project supported by the National Natural Science Foundation of China (Grant Nos.10571117, 60773078);the Shuguang Plan of Shanghai Education Development Foundation (Grant No.06SG42);the Shanghai Leading Academic Discipline Project(Grant No.J50101)
Let G = (V,A) be a digraph.A set T of vertices of G is a twin dominating set of G if for every vertex v ∈ V / T.There exist u,w ∈ T (possibly u = w) such that (u,v),(v,w) ∈ A.The twin domination number γ...
supported by the National Natural Science Foundation of China (Grant Nos.10571117,60773078);Shu Guang Plan of Shanghai Education Development Foundation (Grant No.06SG42);the Shanghai Leading Academic Discipline Project(Grant No.J50101)
The generalized Kautz digraphs have many good properties as interconnection network topologies. In this note, the bounds of the absorbant number for the generalized Kautz digraph are given, and some sufficient conditi...
the National Nature Science Foundation of China (Grant Nos.10571117,60773078);the Hong Kong Polytechnic University (Grant No.G-YX69) ;Shuguang Plan of Shanghai Education Development Foundation (Grant No.06SG42)
A clique-transversal set D of a graph G is a set of vertices of G such that D meets all cliques of G. The clique-transversal number, denoted τ c (G), is the minimum cardinality of a clique-transversal set in G. In th...