International business relationships triads: Classical-type and relational-type interactions between Chinese and western firms

China’s expanding position within the global business arena has placed focus on its role in assisting to stimulate the global economy during the current ‘global financial crisis’. This raises the importance of better understanding how the Chinese conduct their inter-firm interactions, in their exchanges between Chinese and Western firms. We report an expository study that identifies both classical-type exchange and interactions that are relational-type in the one context and how these conflate to form triadic structures within business networks. From case study evidence, we propose a typology of triadic interorganisational forms. To understand better exchange in this complex international marketing context, and the additional demands this places on relationships management, it is important that we understand the causes and nature of the fuzziness of these opaque inter-firm network structures

Commutative association schemes

Association schemes were originally introduced by Bose and his co-workers in the design of statistical experiments. Since that point of inception, the concept has proved useful in the study of group actions, in algebraic graph theory, in algebraic coding theory, and in areas as far afield as knot theory and numerical integration. This branch of the theory, viewed in this collection of surveys as the "commutative case," has seen significant activity in the last few decades. The goal of the present survey is to discuss the most important new developments in several directions, including Gelfand pairs, cometric association schemes, Delsarte Theory, spin models and the semidefinite programming technique. The narrative follows a thread through this list of topics, this being the contrast between combinatorial symmetry and group-theoretic symmetry, culminating in Schrijver's SDP bound for binary codes (based on group actions) and its connection to the Terwilliger algebra (based on combinatorial symmetry). We propose this new role of the Terwilliger algebra in Delsarte Theory as a central topic for future work.Comment: 36 page