This work was jointly supported by the National Natural Science Foundation of China (Grant No. 19871023); Education Minislry of China (Grant No. 2000-11); the "333" Foundation of Jiangsu Province and the Natural Science Foundation of Jiangsu Province(G
We briefly introduce the connection between the Shannon capacity of a communication channel and graph Ramsey number, which may receive attention from researchers on communication theory and graph theory.
Let S0 be a compact Riemann surface with genus g,g>1. For any compact Riemannsurface S and any orientation preserved homeomorphism f:S0→S, we denote the pair (S,f) a marked Riemann surface....
Theorem Let (Mj,ωj) be the 4-dimensional connect closed symplectic manifolds with c1(Mj) =0, j= 1,…, k, and (P, ω) the closed symplectic manifold with ω|π2
In Ref.[2] the author dealt with the Main conjecture on geometric codes andproved the correctness of the conjecture for codes arising from curves with genus 1 or2 when the cardinal of the ground field is large enough....
Let G be a connected graph, SV(G) and u∈V(G). Write N(S)={v∈V(G)\S: there exists a vertex w∈S such that vw∈E(G)}, N(u)={v∈V(G):uv∈E(G)}, which are respectively called the neighborhood of S and u. Let (u)=N(u)∪{...