Optimization algorithms for energy-efficient data centers
Hendrik F. Hamann
InterPACK 2013
Given an undirected n-vertex graph G and a set of n points in Rd, we wish to embed the vertices of G onto the points so as to minimize the total embedded edge length. Important special cases of this geometric embedding problem as those in which G is a binary tree, a cycle, or a star. We give fast approximation algorithms for embedding these graphs on the line and in the plane in several metrics. Our principal techniques are: a notion of "approximate geometric sorting" that can be computed in linear time, and fast approximation schemes for the minimum spanning tree problem in the plane. We expect that these approximation techniques can be applied to many geometric problems besides the embedding problem. We give the example of approximating the convex hull of a set of points in the plane. © 1992.
Hendrik F. Hamann
InterPACK 2013
Nanda Kambhatla
ACL 2004
Pradip Bose
VTS 1998
Rafae Bhatti, Elisa Bertino, et al.
Communications of the ACM