Star factorizations of graph products

A k-star is the graph K-1,K-k. We prove a general theorem about k-star factorizations of Cayley graphs. This is used to give necessary and sufficient conditions for the existence of k-star factorizations of any power (K-q)(S) of a complete graph with prime power order q, products C-r1 x C-r2 x ... x C-rk of k cycles of arbitrary lengths, and any power (C-r)(S) of a cycle of arbitrary length. (C) 2001 John Wiley & Sons, Inc.

Multidisciplinary case conference reviews: Improving outcomes for nursing home residents, carers and health professionals

Aim of study: This study sought to determine whether multidisciplinary case conference reviews improved outcomes for nursing home residents, and the effects of this team approach to resident care on carers, including the hands-on carers employed by the nursing home, and health professionals. Method: 245 residents of three Canberra nursing homes were enrolled in this non-randomised controlled trial. The intervention consisted of sessions of three case conference reviews held between 10/4/96 and 4/12/96. These sessions were attended by the General Practitioners (GPs) of the residents discussed, the GP project officer from the ACT Division of General Practice, a clinical pharmacist, senior nursing staff, other health professionals eg physiotherapist, and occasionally the resident concerned or their representative. At each review, a case presentation by the resident's GP was followed by a multidisciplinary discussion of all aspects, medical and non-medical, of the resident's care. The review concluded with a management plan for the resident. In total 75 residents were reviewed. Main outcome measures: Medication use and cost, and mortality. Results: One month after the reviews were completed comparisons between those who were reviewed and those who were not showed non-significant reductions in medication orders, medication cost, and mortality in the reviewed group. Many of the 92 recommendations in the management plans that were carried out benefited the residents (n=37) and/or carers (n=24). The responses of the GPs and the Directors of Nursing to the reviews were overwhelmingly positive. Conclusion: Recommendations arising from multidisciplinary case conferences were carried out to the benefit of patients and carers. Given the support shown by key stakeholders, multidisciplinary conferences should be used more.

Papillomavirus research update: highlights of the Barcelona HPV 2000 international papillomavirus conference

The 18th international papillomavirus conference took place in Barcelona, Spain in July 2000. The HPV clinical workshop was jointly organised with the annual meeting of the Spanish Association of Cervical Pathology and Colposcopy. The conference included 615 abstracts describing ongoing research in epidemiology, diagnosis/screening, treatment/prognosis, immunology/human immunodeficiency virus, vaccine development/trials, transformation/progression, replication, transcription/translation, viral protein functions, and viral and host interactions. This leader summarises the highlights presented at the conference (the full text of the abstracts and lectures can be found at www.hpv2000.com). Relevant material in Spanish can be found at www.aepcc. org.

R-matrices and the tensor product graph method

A systematic method for constructing trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two affinizable representations of a quantum algebra or superalgebra has been developed by the Brisbane group and its collaborators. This method has been referred to as the Tensor Product Graph Method. Here we describe applications of this method to untwisted and twisted quantum affine superalgebras.

Re McBain; ex parte Australian Catholic Bishops Conference

The case of Re McBain; ex parte Australian Catholic Bishops Conference sought to make an order under s 76 of the Constitution that the decision of the Federal Court was incorrect in law - decision was made on the basis of constitutional and procedural issues - High Court consolidated the definition of 'matter' in sections 75 and 76 of the Constitution - writ of certiorari considered - role of the Attorney-General in proceedings in which he had granted a fiat - case reiterated the role of the judiciary in Australia.

Factorizations of the complete graph into C-5-factors and 1-factors

In this paper, we show that K-10n can be factored into alpha C-5-factors and beta 1-factors for all non-negative integers alpha and beta satisfying 2alpha + beta = 10(n) - 1.