supported by the Major State Basic Research Development Program of China(973 Program)(Nos.2010CB328202,2010CB328204,and 2012CB315604);the HiTech Research and Development Program of China(863 Program)(Nos.2012AA01Z301,and 2012AA011302);the National Natural Science Foundation of China(No.60702005);the Beijing Nova Program(No.2011065);the Fundamental Research Funds for the Central Universities
This paper proposes k-regular and k-connected(k&k) structure against multifaults in ultra-high capacity optical networks.Theoretical results show that pre-configured k&k structure can reach the lower bound on logical ...
A known result by Jackson Bill is that every 2-connected k-regular graph on at most 3k vertices is Hamiltonian. In this paper,it is proved that every 2-connected k-regular claw-free graph on at most 5k(k≥10)vertices ...