A solution to the three disjoint path problem on honeycomb tori

In a previous paper we solved an open problem named as the three disjoint path problem on honeycomb meshes. In this paper we extend the technique used to solve the related problem on honeycomb tori. The result gives the minimum possible length of the longest of any three disjoint paths between two given nodes in a torus. The problem has practical benefits in the fault tolerant aspects of interconnection topologies.

A solution to the three disjoint path problem on honeycomb meshes

Recently honeycomb meshes have been considered as alternative candidates for interconnection networks in parallel and distributed computer systems. This paper presents a solution to one of the open problems about honeycomb meshes—the so-called three disjoint path problem. The problem requires minimizing the length of the longest of any three disjoint paths between 3-degree nodes. This solution provides information on the re-routing of traffic along the network in the presence of faults.

Evaluation of the potential for virus dispersal during hand drying: a comparison of three methods

Aims To use a MS2 bacteriophage model to compare three hand-drying methods, paper towels (PT), a warm air dryer (WAD) and a jet air dryer (JAD), for their potential to disperse viruses and contaminate the immediate environment during use. Methods and Results Participants washed their gloved hands with a suspension of MS2 bacteriophage and hands were dried with one of the three hand-drying devices. The quantity of MS2 present in the areas around each device was determined using a plaque assay. Samples were collected from plates containing the indicator strain, placed at varying heights and distances and also from the air. Over a height range of 0.15-1.65 m, the JAD dispersed an average of >60 and >1300-fold more plaque-forming units (pfu) compared to the WAD and PT (P <0.0001), respectively. The JAD dispersed an average of >20 and >190-fold more pfu in total compared to WAD and PT at all distances tested up to 3 m (P <0.01), respectively. Air samples collected around each device 15 minutes after use indicated that the JAD dispersed an average of >50 and >100-fold more pfu compared to the WAD and PT (P <0.001), respectively. Conclusions Use of the JAD lead to significantly greater and further dispersal of MS2 bacteriophage from artificially contaminated hands when compared to the WAD and PT. Significance and Impact of Study The choice of hand drying device should be considered carefully in areas where infection prevention concerns are paramount, such as healthcare settings and the food industry.

Understanding the Effect of Television Advertising on Women's Attitudes and Purchase Intentions Towards Beer: A Study of Three Major Brands.

Abstract Purpose of Paper: The market for beer in the UK is now mature and sales have been stable at around £16bn for about ten years (Mintel 2014). More recently, there have been changes in the market as consumers have switched from bigger mainstream brands to a growing number of smaller craft beers. However, in order to grow further significantly, the industry needs to explore new market segments and find new consumers for beer. So far, it is estimated that only 1.3m women in the UK drink beer (O'Reilly, 2014; Mail Online, 2015). Women are therefore an underexplored segment and present the main growth opportunity for beer drinking in the UK. However, most beer television advertising has traditionally been aimed at the male audience and there have been suggestions that some of this advertising has been seen as unpopular with or even insulting to women (Jackson, 2013; Zwarun et al., 2006). The Chief Executive of major brewer SAB Miller, which owns the Foster's brand, has recently written that, 'We have to acknowledge that core lager advertising, for many years, was either dismissive of, or insulting to, women.' (Shubber, 2015). If women are to be the new consumers and the future target for beer advertising, there is therefore a significant gap in the knowledge and literature concerned with how women differ from men in responding to the television advertising produced by beer brands and it is important that this gap in knowledge is addressed. The purpose of this paper is therefore to explore the effect of the television advertising of the three top selling UK beer brands on women's attitudes and purchase intentions towards those brands. More specifically, the objectives are: 1) To gain an understanding of how female consumers respond to existing beer television advertising, specifically in terms of the ‘likeability’ of the content of TV commercials produced by the three leading UK beer brands among female consumers. 2) To examine the effect of the rational and emotional content, including the use of humour, in television commercials produced by the three leading UK beer brands on the attitudes of female consumers towards those brands. 3) To explore in-depth female consumer attitudes towards the content (message cues and symbolism) of the television commercials produced by the three leading beer brands in the UK and their effect on subsequent purchase intentions for each brand.