Supported by the National Natural Science Foundation of China (Grant No.10671055)
A maximum (v, G, λ)-PD and a minimum (v, G, λ)-CD axe studied for 2 graphs of 6 vertices and 7 edges. By means of "difference method" and "holey graph design", we obtain the result: there exists a (v, Gi,...
Foundation item: the National Natural Science Foundation of China (No. 10671055); the Natural Science Foundation of Hebei Province (No. A2007000230); the Foundation of Hebei Normal University (No. L2007B22).
In this paper, we discuss the G-decomposition of λKv into 6-circuits with two chords. We construct some holey G-designs using sharply 2-transitive group, and present the recursive structure by PBD. We also give a uni...
Foundation item: Supported by the National Natural Science Foundation of China(10671055)
The main purpose of this paper is using the analytic methods to study a limit problem involving the F Smarandache square complementary number Ssc(n), and obtain its limit value.
the National Natural Science Foundation of China (No.10671055)
A Mendelsohn (directed, or hybrid) triple system of order v, denoted by MTS(v,λ) (DTS(v,λ), or HTS(v,λ)), is a pair (X,B) where X is a v-set and B is a collection of some cyclic (transitive, or cyclic and transitiv...
the National Natural Science Foundation of China (No.10671055)
Let λKv be the complete multigraph with v vertices and G a finite simple graph. A G-design (G-packing design, G-covering design) of λKv, denoted by (v,G,λ)-GD ((v,G,λ)-PD, (v,G,λ)-CD), is a pair (X,B) where X is ...