Reconceptualising social sustainability in urban development

Although the social dimension is often cited as the third leg of triple bottom line sustainability, there is at present general agreement on the difficulty of saying just what social sustainability is and how it can be related to enivironmental sustainability. This paper proposes that a sociotechnical understanding of the relationship beween human behaviour and technical developments provides a way of making the social dimension accessible to engineers, designers and developers. We draw on early work in master planned urban developments to show how a sociotechnical model, married to a life cycle assessment approach can help us understand and design for effective and efficient implementation of sustainability systems

3,5-cycle decompositions

For all odd integers n and all non-negative integers r and s satisfying 3r + 5s = n(n -1)/2 it is shown that the edge set of the complete graph on n vertices can be partitioned into r 3-cycles and s 5-cycles. For all even integers n and all non-negative integers r and s satisfying 3r + 5s = n(n-2)/2 it is shown that the edge set of the complete graph on n vertices with a 1-factor removed can be partitioned into r 3-cycles and s 5-cycles. (C) 1998 John Wiley & Sons, Inc.