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Technical Program

Paper Detail

Paper IDD3-S7-T1.3
Paper Title Edge removal in undirected networks
Authors Michael Langberg, University at Buffalo, United States; Michelle Effros, Caltech, United States
Session D3-S7-T1: Topics in Network Coding II
Chaired Session: Thursday, 15 July, 00:00 - 00:20
Engagement Session: Thursday, 15 July, 00:20 - 00:40
Abstract The edge-removal problem asks whether the removal of a $\lambda$-capacity edge from a given network can decrease the communication rate between source-terminal pairs by more than $\lambda$. We prove that for undirected networks, removing a $\lambda$ capacity edge decreases the rate by $O(\lambda)$. Through previously known reductive arguments, here newly applied to undirected networks, our result implies that the zero-error capacity region of an undirected network equals its vanishing-error capacity region. Whether it is possible to prove similar results for directed networks remains an open question.