A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite p...A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite poset is connected. The graded function of a graded finite poset is unique if and only if the graded finite poset is connected.展开更多
Let X,Y be any posets,the semimodularity of cardinal power Yx with base Y and exponent X is studied. Some necessary or sufficient conditions for Yx to be semimodular are gaven,
The free object generated by a set in the category of complete L-fuzzy posets is discussed in this paper. The construction of a free complete L-fuzzy poset generated by a set is obtained, which is a generalization of ...The free object generated by a set in the category of complete L-fuzzy posets is discussed in this paper. The construction of a free complete L-fuzzy poset generated by a set is obtained, which is a generalization of the free complete lattice generated by a set.展开更多
A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. ...A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. Firstly, by associativity and the unitary property, we prove that the vector space with the conjunction product is a graded algebra. Then by the definition of free algebra, we prove that the algebra is free. Finally, by the coassociativity and the counitary property, we prove that the vector space with the unshuffle coproduct is a graded coalgebra.展开更多
Many research issues have been raised in Application Layer Multicasting(ALM),such as group management,security,integrity of data,link stress,link stretch,load balancing,fault tolerance and scalability,because of the s...Many research issues have been raised in Application Layer Multicasting(ALM),such as group management,security,integrity of data,link stress,link stretch,load balancing,fault tolerance and scalability,because of the shifting of the multicast protocol from the IP layer to the application layer.To address these issues many protocols have evolved by changing their topology structure.In this paper,the POSET protocol stack is proposed,which consists of three layers,such as communication control,POSET cube,and content distribution.The novelty of this paper is the lattice-based data distribution with POSET cube architecture.The results have been compared with the existing NICE and Narada protocols.The experimental results show that the proposed POSET protocol improves throughput between 7.14%and 40%and decreases the delay between 7.69%and 25%,compared to the existing NICE protocol.展开更多
基金Supported by the National Natural Science Foundation of China（60474022） Supported by the Henan Innovation Project for University Prominent Research Talents（2007KYCX018）
文摘A new concept Graded Finite Poset is proposed in this paper. Through discussing some basic properties of it, we come to that the direct product of graded finite posets is connected if and only if every graded finite poset is connected. The graded function of a graded finite poset is unique if and only if the graded finite poset is connected.
文摘Let X,Y be any posets,the semimodularity of cardinal power Yx with base Y and exponent X is studied. Some necessary or sufficient conditions for Yx to be semimodular are gaven,
文摘The free object generated by a set in the category of complete L-fuzzy posets is discussed in this paper. The construction of a free complete L-fuzzy poset generated by a set is obtained, which is a generalization of the free complete lattice generated by a set.
文摘A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. Firstly, by associativity and the unitary property, we prove that the vector space with the conjunction product is a graded algebra. Then by the definition of free algebra, we prove that the algebra is free. Finally, by the coassociativity and the counitary property, we prove that the vector space with the unshuffle coproduct is a graded coalgebra.
基金supported by the university Grants Commission,New Delhi,India
文摘Many research issues have been raised in Application Layer Multicasting(ALM),such as group management,security,integrity of data,link stress,link stretch,load balancing,fault tolerance and scalability,because of the shifting of the multicast protocol from the IP layer to the application layer.To address these issues many protocols have evolved by changing their topology structure.In this paper,the POSET protocol stack is proposed,which consists of three layers,such as communication control,POSET cube,and content distribution.The novelty of this paper is the lattice-based data distribution with POSET cube architecture.The results have been compared with the existing NICE and Narada protocols.The experimental results show that the proposed POSET protocol improves throughput between 7.14%and 40%and decreases the delay between 7.69%and 25%,compared to the existing NICE protocol.
