Scalable and efficient graph colouring in 3 dimensions using emergence engineering principles

This paper describes ways in which emergence engineering principles can be applied to the development of distributed applications. A distributed solution to the graph-colouring problem is used as a vehicle to illustrate some novel techniques. Each node acts autonomously to colour itself based only on its local view of its neighbourhood, and following a simple set of carefully tuned rules. Randomness breaks symmetry and thus enhances stability. The algorithm has been developed to enable self-configuration in wireless sensor networks, and to reflect real-world configurations the algorithm operates with 3 dimensional topologies (reflecting the propagation of radio waves and the placement of sensors in buildings, bridge structures etc.). The algorithm’s performance is evaluated and results presented. It is shown to be simultaneously highly stable and scalable whilst achieving low convergence times. The use of eavesdropping gives rise to low interaction complexity and high efficiency in terms of the communication overheads.

Rights for cohabitants

Reviews the guidance given by the House of Lords in Stack v Dowden on quantifying the beneficial interests of cohabiting parties in their former family home when one party seeks to rebut the presumption of joint beneficial ownership. Comments on the subsequent application of the principles by the county court in Adekunle v Ritchie and by the Privy Council in Abbott v Abbott, highlighting the approaches used to establish an equitable interest and to quantify the parties' shares in the properties. Considers whether statutory intervention is now needed to resolve the difficulties. [From Legal Journals Index]

Cohabitation: quantifying an equitable share

Discusses the House of Lords judgment in Stack v Dowden on the factors the courts may consider when determining whether to rebut the presumption that former cohabitees, who were registered as joint legal owners of a property, were also joint beneficial owners with equal shares in the property. [From the Legal Journals Index]

Quantifying the beneficial interests of cohabitees

Discusses entitlements to a share of the sale proceeds of the family home where partners are cohabiting but not married and the property is registered in the name of one person only. Explains the obligation to establish that a cohabitee has an equitable interest in the property under the principles of constructive or resulting trusts. Considers how the court is able to quantify the respective shares, both before and after Oxley v Hiscock. [From the Legal Journals Index]

Antioxidant principles of Tanacetum vulgare L. aerial parts

The methanolic extract of aerial parts of Tanacetum vulgare L. (Asteraceae) and its fractions were investigated for antioxidant activity. The crude extract displayed DPPH radical scavenging effects with an EC50 value of 37 +/- 1.2 microg/mL (n=3). Activity-guided fractionations of the crude extract resulted in the isolation of three antioxidant compounds; 3,5-O-dicaffeoylquinic acid (3,5-DCQA), axillarin and luteolin. 3,5-DCQA was the major constituent with antioxidant activity (IC50 = 9.7 microM) comparable with that of the standard quercetin (IC50 = 8.8 microM). Though the isolated compounds were previously known for their antioxidant effects, this is the first report on the identification of 3,5-DCQA from Tanacetum vulgare. The displayed potent antioxidant activity of the crude extract and isolated active principles is in support of the traditional medicinal uses of the plant for disease conditions such as wound healing, rheumatic arthritis and other inflammatory conditions.