Mimicking Networks Parameterized by Connectivity

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Abstract:

Given a graph $G=(V,E)$, capacities $w(e)$ on edges, and a subset of terminals $\mathcal{T} \subseteq V: |\mathcal{T}| = k$, a mimicking network for $(G,\mathcal{T})$ is a graph $(H,w')$ that contains copies of $\mathcal{T}$ and preserves the value of minimum cuts separating any subset $A, B \subseteq \mathcal{T}$ of terminals. Mimickin...More

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