Regular graphs of odd degree are antimagic

An antimagic labeling of a graph $G$ with $m$ edges is a bijection from $E(G)$ to $\{1,2,\ldots,m\}$ such that for all vertices $u$ and $v$, the sum of labels on edges incident to $u$ differs from that for edges incident to $v$. Hartsfield and Ringel conjectured that every connected graph other than the single edge $K_2$ has an antimagic labeling. We prove this conjecture for regular graphs of odd degree.Comment: 5 page

Stimulus, effects attention and reading performance : a thesis presented in partial fulfilment of the requirements for the degree of Master of Arts in applied psychology at Massey University

This investigation reports an experimental study on the effects different stimulus characteristics have on attention and subsequent reading performance with "good" and "poor" readers. Forty subjects between the ages of eleven and eleven and a half years at the time of the study (November, 1975) were selected from a typical city school on the following criteria: (i) All subjects had to score within ±1 standard deviation of the mean on the "Henmon-Nelson Tests of Mental Ability" Group 6-9, Form A. (H.N.) (ii) Twenty of them (ten boys, ten girls) had to score between 20-30 raw score points on the "Progressive Achievement Test: Reading Comprehension" and have a Teacher rating of 3+ or 2. (iii) Twenty of them (ten boys, ten girls) had to score 18 or less raw score points on the "Progressive Achievement Test: Reading Comprehension" and have a Teacher rating of 3- or 4. These two groups were then referred to respectively as "good" and "poor" readers. Intelligence was being held constant to prevent It being an Independent variable in this study. All forty subjects were tested on the "Concealed Figures Test" (C.F.T.) which was used in the study as a measure of "attentional style". Each subject was then presented with a series of slides and his responses recorded. In the first instance six slides, containing three real and three novel animals, were presented In a typical setting. Each slide had a coloured border surrounding it. After viewing each slide (their viewing time being recorded) they were asked to select from two multiple choice questions the setting in which the animal appeared and the colour of the border. This was repeated with the same animals In atypical settings and different coloured borders. Responses to the setting were recorded as "intentional" learning while the border colour was termed "Incidental learning". Each subject was then presented with a slide containing a "mutilated" text (where the first letter of each word had been changed) on each of the animals viewed previously. Each text was presented three times - with a picture, without a picture, without a picture but surrounded by a coloured border. The "on task" time and number of word errors was recorded for each presentation. The same procedure was repeated only with a different six animals as the subjects for the text (again comprising of three novel and three real animals). "On task" time and word errors were again recorded. Finally, five slides about one novel and four real animals were presented in traditional orthography as a control measure. These were presented as text only, text and picture, text and border, text and picture and border. On analysis of the data it was found that "incidental" learning was no greater with bright coloured borders than it was with dull coloured borders. "Intentional" learning too was tested out not significantly different with novel animals or settings than it was with real animals or typical settings. On the "attentional style" test boys were found to have significantly less errors than girls (p<.005). However, predicted differences in the number correct between boys and girls, "good" and "poor" readers showed no significance on a one tailed t-test. The "on task" time of high scorers on the C.F.T, as compared with low scorers did not differ significantly in the reading of the "mutilated" texts. "Good" readers though spent less time "on task" when the text was presented with a picture than did "poor" readers (p<.05). The same significant difference existed when they were presented with a text only. However, no difference was found when they were presented with a text surrounded with a coloured border. Reading performance of "poor" readers was increased when presented with a text only as compared with a text and illustration (p<.10). A one tailed t-test also showed a significant improvement in the performance of "poor" readers when the text had a coloured border around it (p<.05). The bright colours showed a very significant improvement in reading performance of "poor" readers as compared with the text only (p<.005). Stimulus materials such as texts with a coloured border seem to assist "poor" readers in particular into focusing their attention on to the relevant cues and increase their success in reading

Developing Senior Management Teams in Schools: Can Micropolitics Help?

While there is a vast body of literature that examines the role of the principal in schools, it has been only relatively recently that attention has focused on the working practices and relationships o f members in the Senior Management Team (SMT). This paper suggests that the study of micropolitics has potential for illuminating SMTs since it provides a lens to understand the dynamics of the team and the interactions and inter-relationships between and amongst their members. This micropolitical lens is concerned with how players use a variety of strategies such as power, coercion, cooperation, cooption and influence to obtain resources and achieve goals. This paper examines some of the recent research into SMTs and micropolitics and identifies five hey issues or pointers that may be linked to either facilitating or inhibiting the effective functioning of SMTs in schools. The set of issues provides a useful framework for members of SMTs to critically reflect upon as they seek to build shared purpose, cooperation and collaboration

General-aviation pilot reactions to and opinons on grooved runways

Survey of airline pilot reactions to grooved runway