Title :
On an Open Problem of C. C. Chen
Author :
Zhang, Kunlun ; Li, Dong-hai
Author_Institution :
Dept. of Math., Central Univ. for Nat., Beijing
Abstract :
This paper investigates the length of sublattice-lattice of finite distributive lattice. The following result is proved. For finite distributive lattices L and K, then l*(Sub(L times K)) = l*(Sub(L)) + l*(Sub(K)). Therefore, we have solved the Problem 1 of C.C.Chen.
Keywords :
combinatorial mathematics; computational geometry; lattice theory; finite distributive lattice; finite distributive lattices; open problem; Informatics; Information security; Information technology; Lattices; Mathematics; National security; Thermal engineering; Finite distributive lattices; grading number; length of lattice;
Conference_Titel :
Intelligent Information Technology and Security Informatics, 2009. IITSI '09. Second International Symposium on
Conference_Location :
Moscow
Print_ISBN :
978-1-4244-3580-7
DOI :
10.1109/IITSI.2009.33
