Minimum Wiener Connector Problem

Given a connected graph G=(V,E)G = (V, E) and a set QVQ \subseteq V of query vertices, find a subgraph of GG that connects all query vertices and has minimum Wiener index.

Parameters

  • nn: number of vertices
  • mm: number of edges
  • qq: number of query vertices

Filters

Computational Model

Randomization

Approximation

Algorithms Table

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Ruchansky2015O(q(mlog(n)+nlog2(n)))O(q(m \log(n)+n \log^2(n)))O(q(m+nlogn))O(q(m+n \log n))
Exhaustive search20152^(O(n))O(n) auxiliary

Reductions Table

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Other relevant algorithms

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