Some equitably 3-colourable cycle decompositions of complete equipartite graphs

Let G be a graph in which each vertex has been coloured using one of k colours, say c(1), c(2),.. , c(k). If an m-cycle C in G has n(i) vertices coloured c(i), i = 1, 2,..., k, and vertical bar n(i) - n(j)vertical bar <= 1 for any i, j is an element of {1, 2,..., k}, then C is said to be equitably k-coloured. An m-cycle decomposition C of a graph G is equitably k-colourable if the vertices of G can be coloured so that every m-cycle in W is equitably k-coloured. For m = 3, 4 and 5 we completely settle the existence question for equitably 3-colourable m-cycle decompositions of complete equipartite graphs. (c) 2005 Elsevier B.V. All rights reserved.

Embedding partial G-designs where G is a 4-cycle with a pendant edge

Let D denote the graph consisting of a cycle of length 4 with a pendant edge. In this paper, two very different small embeddings of partial D-designs are presented. (c) 2005 Elsevier B.V. All rights reserved.

The effect of life expectancy on fertility, saving, schooling and economic growth: theory and evidence

We construct a simple growth model where agents with uncertain survival choose schooling time, life-cycle consumption and the number of children. We show that rising longevity reduces fertility but raises saving, schooling time and the growth rate at a diminishing rate. Cross-section analyses using data from 76 countries support these propositions: life expectancy has a significant positive effect on the saving rate, secondary school enrollment and growth but a significant negative effect on fertility. Through sensitivity analyses, the effect on the saving rate is inconclusive, while the effects on the other variables are robust and consistent. These estimated effects are decreasing in life expectancy. Copyright The editors of the Scandinavian Journal of Economics 2005.

Selecting optimal instantiations of data models - Theory and validation of an ex ante approach

The schema of an information system can significantly impact the ability of end users to efficiently and effectively retrieve the information they need. Obtaining quickly the appropriate data increases the likelihood that an organization will make good decisions and respond adeptly to challenges. This research presents and validates a methodology for evaluating, ex ante, the relative desirability of alternative instantiations of a model of data. In contrast to prior research, each instantiation is based on a different formal theory. This research theorizes that the instantiation that yields the lowest weighted average query complexity for a representative sample of information requests is the most desirable instantiation for end-user queries. The theory was validated by an experiment that compared end-user performance using an instantiation of a data structure based on the relational model of data with performance using the corresponding instantiation of the data structure based on the object-relational model of data. Complexity was measured using three different Halstead metrics: program length, difficulty, and effort. For a representative sample of queries, the average complexity using each instantiation was calculated. As theorized, end users querying the instantiation with the lower average complexity made fewer semantic errors, i.e., were more effective at composing queries. (c) 2005 Elsevier B.V. All rights reserved.

Destination image, romance and place experience - an application of intimacy theory in tourism

In some forms of tourism, and perhaps particularly in the case of special interest tourism, it can be argued that tourism encounters are service relationships with emotional attachment through the special interest focus and a level of enduring involvement on the part of participants. This involvement is two-fold. First, an interest with the activity; second, a sharing with like-minded people in a social world that extends from home to tourist destination and return. Intimacies in tourism can thus be interpreted through the model of the relationship cycle that comprises the stages A. Aquaintance, B, Buildup, C, Continuation and D, Dissolution. The paper builds upon this concept by utilising ideas of other-centred and self-centredness in personal relationships, and extends the concept of other-centredness to host environments. It also suggests that, in the academic literature about place, location may be secondary in that the quality of experience is primarily determined by the intimacies that exist between people at that place, especially that existing between visitors. © 2004 Published by Elsevier Ltd.

Postcolonialism and the politics of qualitative research in international business

This paper offers a re-configuration of international business research by subjecting it to a postcolonial critique. This critique sees international business research as exhibiting continuities with the colonial project in the way it appropriates the Other. Qualitative research in international business often reproduces a neopositivist separation of theory and method, which can marginalize discussion of the important ontological, epistemological and political issues inherent in any research process

Understanding sociocognitive space of written discourse: Implications for teaching business writing to Chinese students

Confronted with various issues in teaching business writing to Chinese students in New Zealand, this paper sees the need for bridging the gap between genre-based research and teaching in an intercultural context. Specifically, it develops an intercultural reflective model in the light of Bhatia's sociocognitive genre study as well as cross-cultural persuasion. As an important part of the model, New Zealand and Chinese experts' intracultural and intercultural reflections on business writing are solicited and compared and the theoretical implications for teaching and learning business writing are discussed. It has been found, through a case study of analysing English and Chinese business faxes, this model can offer an in-depth understanding about discursive competence across cultures, and provide a link between genre-based theory, teaching practice and professional expertise.

Irreducible 2-fold cycle systems

In this paper, it is shown that for any pair of integers (m, n) with 4 ≤ m ≤ n, if there exists an m-cycle system of order n, then there exists an irreducible 2-fold m-cycle system of order n, except when (m, n) = (5,5). A similar result has already been established for the case of 3-cycles. © 2005 Wiley Periodicals, Inc.

Some equitably 2-colourable cycle decompositions of multipartite graphs

Let G be a graph in which each vertex has been coloured using one of k colours, say c(1), c(2),..., c(k). If an m-cycle C in G has x(i) vertices coloured c(i), i = 1, 2,..., k, and vertical bar x(i) - x(j)vertical bar

Varieties of algebras arising from K-perfect m-cycle systems

A class of algebras forms a variety if it is characterised by a collection of identities. There is a well-known method, often called the standard construction, which gives rise to algebras from m-cycle systems. It is known that the algebras arising from {1}-perfect m-cycle systems form a variety for m is an element of {3, 5} only, and that the algebras arising from {1, 2}-perfect m-cycle systems form a variety for m is an element of {3, 5, 7} only. Here we give, for any set K of positive integers, necessary and sufficient conditions under which the algebras arising from K-perfect m-cycle systems form a variety. (c) 2006 Elsevier B.V. All rights reserved.