WorldCat Identities


Works: 10 works in 17 publications in 1 language and 16 library holdings
Classifications: LA656, 301.326094111
Publication Timeline
Most widely held works by ABERDEEN UNIV (Scotland)
Enumeration of large combinatorial structures by Edward Maitland Wright( Book )

4 editions published between 1975 and 1981 in English and held by 4 WorldCat member libraries worldwide

A good approximation is found to the number of non-separable sparsely edged labelled graphs, relevant in application in statistical mechanics. The enumeration of smooth labelled graphs, where we obtain an exact form for the exponential generating function, find the differential equation it satisfies and a combinatorial interpretation of this equation and finally study the sparsely edged case. We remark on a surprisingly close relationship between the results for the sparsely edged cases of the non-separable and the smooth graphs. We report further on the enumeration of bipartite graphs, labelled and unlabelled, discussed in detail in the Second Annual Report, and finally list a few further problems under investigation
Asymptotic enumeration of combinatorial structures : final technical report by Edward Maitland Wright( Book )

3 editions published between 1971 and 1973 in English and held by 3 WorldCat member libraries worldwide

The paper reports an asymptotic expansion for the logarithm of the number of 'log-piles' or 'stacks' which can be built with n congruent circular cylinders. This result has applications to work of Temperley's on the calculation of the entropy of the surfaces of certain crystals. The authors find an asymptotic approximation to the number of graphs on n labelled colored nodes with just q edges for large n and any q. They improve and shorten Liskovec's method to calculate s sub n the number of strong diagraphs on n labelled nodes and deduce the asymptotic expansion of s sub n for large n. The results can be extended to deal with s sub n1, the number of strong diagraphs on n labelled nodes with just q edges. They have extended some asymptotic results of Harary and Read about tree-like polyhexes. Four research papers are printed as appendices to the report. (Author)
Problems in partition theory and related topics( Book )

2 editions published between 1969 and 1970 in English and held by 2 WorldCat member libraries worldwide

The previous complicated proof by the author of the asymptotic approximation to T sub nq, the number of graphs on n unlabelled nodes with q edges has been shortened and simplified. An almost complete arithmetical theory for H sub n)(1), Euler's rencontre number, the number of permutations of n different objects in which no object remains unmoved, has been developed. The corresponding arithmetical theory and the asymptotic theory for (H sub n)(k), the number of permutations of n objects whose expression as a product of disjoint cycles contains no cycle of length less than k+1, has been studied. The combinatorial structures known as stacks have been further studied. (Author)
Resource based learning : an experience in planning and production by Ray McAleese( Book )

1 edition published in 1980 in English and held by 1 WorldCat member library worldwide

A 2-year project at the University of Aberdeen focused on the production of learning materials and the planning of audiovisual based instruction. Background information on the project examines its origins, the nature of course teams, and the evaluation of the five text-tape programs produced. The report specifies three project aims: (1) to produce a series of learning packages of videotape and accompanying text material; (2) to encourage widespread use of such packages by a process called action research or "team planning"; and (3) to publicize the various development stages to encourage others to try these techniques. Sample materials appended include two television scripts, a botany self assessment exercise, a scenario for law programs, an evaluation (botany), and notes for viewers (law). (Mer)
Partition of multipartite numbers into k parts( Book )

1 edition published in 1941 in English and held by 1 WorldCat member library worldwide

Intelligence in a Democracy by R. V Jones( Book )

1 edition published in 1976 in English and held by 1 WorldCat member library worldwide

Education and migration : a study of the migration and job expectations of young people and their parents in the Highlands and Islands of Scotland by John Sewel( Book )

2 editions published in 1976 in English and held by 1 WorldCat member library worldwide

The economic and social effects of centralised education in the rural areas of the Highlands and Islands of Scotland were studied. Five factors (geographical position, population density, occupational structure, economic prosperity, and educational structure) were considered in order to study the migration patterns, and attitudes and aspirations in relation to educational provision and economic opportunities. Three extensive surveys were conducted to examine the attitudes and expectations of parents, of pupils in first and fourth years of secondary school, and of school leavers. In 9 selected locations, representing different patterns of secondary school organisations, 532 parents were interviewed about their expectations of migration, their aspirations for their children, and their satisfaction with the educational provision. Questionnaires were received from 996 pupils in first year and 831 in fourth year. These were compared to 675 questionnaires returned by former pupils who had lived in the area and had left school during session 1971-72. Findings included: the most favourable attitudes to secondary school provision were recorded in areas where there was a local two-year comprehensive school, or where the all-through comprehensive school was located within the West Coast region; between first and fourth years, there was a slight increase in the expectation of migration; and within two years of leaving school, nearly half of the former pupils were no longer wholly resident within their original home districts. (Nq)
Structural chemistry of silicates and related substances by H. F. W Taylor( Book )

1 edition published in 1960 in English and held by 1 WorldCat member library worldwide

Studies of oriented transformations, and crystal chemistry of oxides are described. Detailed study of the oriented transformations rhodonite to wollastonite provides direct evidence of the migration of Si during thermal transformations of silicates. The results of dry heating and hydrothermal treatment of a variety of other silicates are described. Crystal chemical studies, including a number of RO-R2O3 compounds are in progress. The stability relationships of the calcium gallates are described. (Author)
Partitions of multipartites (i) and coloured graphs with a large number of nodes (ii)( Book )

1 edition published in 1963 in English and held by 1 WorldCat member library worldwide

Asymptotic Problems in Graph Theory by Edward Maitland Wright( Book )

1 edition published in 1974 in English and held by 1 WorldCat member library worldwide

An (n, q) graph is one with n nodes and q edges. It is shown that the asymptotic probability that an (n, q) graph is Hamiltonian is the same whether it is labelled or unlabelled. Again the strict probability for the unlabelled case can decrease as q increases in a certain interval, but not for the labelled case. Dr. Sheehan and the author find a general formula for the number of Hamiltonian circuits in a thickly-edged graph; two very special cases of this were known. The use of the Exclusion-Inclusion Theorem to find asymptotic results can be extended more widely than had previously seemed possible. A detailed theory of the appearance of large cycles in large labelled graphs is developed. From this and other results there follows the somewhat paradoxical evolution of the unlabelled graph as the number of edges increases
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Audience level: 0.91 (from 0.76 for Intelligen ... to 1.00 for Problems i ...)

English (17)