Issue No. 06 - June (1981 vol. 30)
M. Imase , Musashino Electrical Communication Laboratory, Nippon Telegraph and Telephone Public Corporation
This paper proposes a simple algorithm for the graph design of small-diameter networks. For given nodes n and degree d, this algorithm can be used to construct a directed graph with diameter ?logd n?, which is at most one larger than the lower bound ?logd (n(d - 1) + 1)? - 1. Its average distance is also close to the lower bound. The algorithm can be used to construct a directed graph with smaller diameter, compared with any other conventional methods, when n is larger.
undirected graph, Building-block, diameter minimization, distance, lower bounds, nearly optimum solution, switching system
M. Imase and M. Itoh, "Design to Minimize Diameter on Building-Block Network," in IEEE Transactions on Computers, vol. 30, no. , pp. 439-442, 1981.