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Full-Text Articles in Logic and Foundations
On Minimal Regular Graphs With Given Constraintsm, Che Sheng Gan
On Minimal Regular Graphs With Given Constraintsm, Che Sheng Gan
Student Works (2000-2009)
A classical question in graph theory has been the search of cages. The problem of determining the smallest (r,g)-cage is unsolved for most pairs of (r,g) and is extremely hard in the general case. Finding the crossing number of a graph is another challenging problem in graph theory. The crossing numbers of very few classes of graphs arc known. In this thesis, we would like to (a) investigate those smallest regular graphs with given girths and having small crossing numbers. In particular, we investigate those smallest regular graphs with given girths and crossing number c, for c ∈ {0, 1, …
Medical Inference System On Arthritis Using Fuzzy Relational Theory, Chee Kau Lim
Medical Inference System On Arthritis Using Fuzzy Relational Theory, Chee Kau Lim
Student Works (2000-2009)
Fuzzy relational theory is a branch in the study of fuzzy sets theory. According to this theory, mapping among two sets can be carried out in four ways, which arc represented by circle product, sub-triangular product, super-triangular product and square product. Each of these products can be abstracted into inference structures. which is useful in designing the inference engine of an expert system. Based on the revised version [DeBaets and Kerre 1993. Hallam and Yew l998a] of fuzzy relational theory. a series of 18 inference structures, namely sub-K inference structures (denoted as Kt to Kl8) are constructed. Based on these …
On Strongly N-Regular And Strongly Regular Rings, Huey Voon Chen
On Strongly N-Regular And Strongly Regular Rings, Huey Voon Chen
Student Works (2000-2009)
Let R be an associative ring with identity 1 (not equal to) 0. An element x E R is said to be right (or left) regular if there exists yin R such that x² y = x (or y.x² = x). If x is both left and right regular, then it is said to be strongly regular. The ring R is said to be strongly regular if every element of R is strongly regular. We say that x is a left -π-regular element if there exist an integer n > 0 and an element y E R such that yx n+1 …