Mimicking Networks and Succinct Representations of Terminal Cuts

Robert Krauthgamer,Inbal Rika

Published 2012 in ACM-SIAM Symposium on Discrete Algorithms

ABSTRACT

@), which is moreover a minor of G. On the other hand, some planar networks G require |E(G')| ≥ Ω(k2). For general networks, we show that certain bipartite graphs only admit mimicking networks of size |V(G')| ≥ 2Ω(k), and moreover, every data structure that stores the minimum cut value between all bipartitions of the terminals must use 2Ω(k) machine words.

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