Performance measurement and data base design
Alfonso P. Cardenas, Larry F. Bowman, et al.
ACM Annual Conference 1975
This paper considers the question of identifying the parameters governing the behavior of fundamental global network problems. Many papers on distributed network algorithms consider the task of optimizing the running time successful when an O(n) bound is achieved on an n-vertex network. We propose that a more sensitive parameter is the network's diameter Diam. This is demonstrated in the paper by providing a distributed minimum-weight spanning tree algorithm whose time complexity is sublinear in n, but linear in Diam (specifically, O(Diam + nε · log* n) for ε = ln 3/ln 6 = 0.6131...). Our result is achieved through the application of graph decomposition and edge-elimination-by-pipelining techniques that may be of independent interest.
Alfonso P. Cardenas, Larry F. Bowman, et al.
ACM Annual Conference 1975
Fan Zhang, Junwei Cao, et al.
IEEE TETC
Donald Samuels, Ian Stobert
SPIE Photomask Technology + EUV Lithography 2007
Ohad Shamir, Sivan Sabato, et al.
Theoretical Computer Science