A Computational View of Population Genetics (preliminary version) Yuval Rabanit Yuri Rabinovicht Alistair Sinclair] This paper contributes to the study of nonlinear dynamical systems from aâ€¦ (More)

The main question discussed in this paper is how well a finite metric space of sizen can be embedded into a graph with certain topological restrictions. The existing constructions of graph spannersâ€¦ (More)

We study various computational aspects of the problem of determining whether, given a (fixed) permutation Ï€ on k elements and an input permutation Ïƒ on n > k elements, Ï€ can be embedded in Ïƒ in anâ€¦ (More)

We introduce and study the notion of the average distortion of a nonexpanding embedding of one metric space into another. Less sensitive than the multiplicative metric distortion, the averageâ€¦ (More)

The main purpose of this paper is to promote the study of computational aspects, primarily the convergence rate, of nonlinear dynamical systems from a combinatorial perspective. We identify the classâ€¦ (More)

We introduce and study the notion of the average distortion of a nonexpanding embedding of one metric space into another. Less sensitive than the multiplicative metric distortion, the averageâ€¦ (More)

We present several approximation algorithms for the problem of embedding metric spaces into a line, and into the two-dimensional plane. Among other results, we give an O(âˆšn)-approximation algorithmâ€¦ (More)

Motivated by applications in combinatorial optimization, we initiate a study of the extent to which the global properties of a metric space (especially, embeddability in l1 with low distortion) areâ€¦ (More)