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arXiv · 1407.2511

Distinguishing Views in Symmetric Networks: A Tight Lower Bound

Dariusz Dereniowski·Adrian Kosowski·Dominik Pajak
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Abstract

The view of a node in a port-labeled network is an infinite tree encoding all walks in the network originating from this node. We prove that for any integers $n\geq D\geq 1$, there exists a port-labeled network with at most $n$ nodes and diameter at most $D$ which contains a pair of nodes whose (infinite) views are different, but whose views truncated to depth $Ω(D\log (n/D))$ are identical.

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Dariusz Dereniowski, Adrian Kosowski, Dominik Pajak. 2015-03-09. Distinguishing Views in Symmetric Networks: A Tight Lower Bound. https://arxiv.org/abs/1407.2511

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