The irregularity strength of a simple graph is the smallest integer k for which there exists a weighting of the edges with positive integers at most k such that all the weighted degrees of the vertices are distinct. In this paper we study the irregularity strength of circulant graphs of degree 4. We find the exact value of the strength for a large family of circulant graphs. © 2005 Elsevier B.V...

In this paper we extend a previous definition of gradual dependence as a special kind of (crisp) association rule, in order to measure not only the existence of a tendency, but its strength. The new proposal is based on the idea of fuzzy association rule and the definition of variation strength in the degree of fulfilment of an imprecise property by different objects. We study the new semantics...

Using the core model K we determine better lower bounds for the consistency strength of some combinatorial principles: I. Assume that A is a Jonsson cardinal which is ‘accessible’ in the sense that at least one of (l)-(4) holds: (1) A is a successor cardinal; (2) A = oE and 6 <A ; (3) A is singular of uncountable cofinality; (4) A is a regular but not weakly hyper-Mahlo.Then Ot exists. II. For ...

Part I of this three-part paper describes the various steps that led to the development of a class of high performance short steel fibre-reinforced cementitious composites (HPFRCCs) which has been patented under the trade name CARDIFRC1. This class of materials generally contains no coarse aggregates and is characterised by high tensile/ flexural strength and high toughness. A method is propose...

This paper presents a perspective on the impact and use of new media that focuses on the strength of the interpersonal tie connecting communicators. Research shows that more strongly tied pairs communicate more frequently, maintain more and different kinds of relations, and use more media to communicate. It is argued that where ties are strong, communicators adapt their use of media and expand ...

Using the analysis developed in our earlier paper [ADK], we show that every uncountable cardinal in Gitik’s model of [Git80] in which all uncountable cardinals are singular is almost Ramsey and is also a Rowbottom cardinal carrying a Rowbottom filter. We assume that the model of [Git80] is constructed from a proper class of strongly compact cardinals, each of which is a limit of measurable card...

Asymmetric Incremental Sheet Forming (AISF) is a relatively new manufacturing process. In AISF, a CNC driven forming tool imposes a localized plastic deformation as it moves along the contour of the desired part. Thus, the final shape is obtained by a sequence of localized plastic deformations. AISF is suitable for small series production of sheet metal parts as needed in aeronautical and medic...

Very interesting specialized web portal for collaboration of developers is CodePlex 1. Registered users can participate in multiple projects, discussions, adding and sharing source codes or documentations, issue a release, etc. In the article we deal with strength extraction between developers based on their association. The research presented in this article is motivated by our previous work [...

An equilibrium Y-Si-0-N melt was infiltrated to eliminate the open porosity of reaction-bonded silicon nitride at 16001800°C. This oxynitride melt contained two equilibrium phases, a P-Si,N, solid phase and a liquid phase at high temperatures. Before infiltration, porous reaction-bonded silicon nitride compacts were heat-treated to completely transform to the P-Si3N, phase. After infiltration, ...