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  • Find maximum number of edge disjoint paths between two vertices
    Given a directed graph and two vertices in it, source 's' and destination 't', find out the maximum number of edge disjoint paths from s to t Two paths are said edge disjoint if they don't share any edge There can be maximum two edge disjoint paths from source 0 to destination 7 in the above graph Two edge disjoint paths are highlighted below in red and blue colors are 0-2-6-7 and 0-3-6-5-7
  • 6. 4 Maximum Flow - Princeton University
    Hint: there is a directed cycle containing both s and t if and only if there are two (internally) vertex-disjoint paths between s and t Vertex disjoint paths in an digraphs Given a digraph G and two vertices s and t, find the maximum number of of vertex-disjoint paths from s and t
  • Efficient Algorithms for Finding the Maximum Number of Disjoint Paths . . .
    In a rectangular grid, given two sets of nodes, S (sources) and T (sinks), of size N 2 each, the disjoint paths (DP) problem is to connect as many nodes in S to the nodes in T using a set of “disjoint” paths (Both edge-disjoint and vertex-disjoint cases are considered in this paper ) Note that in this DP problem, a node in S can be connected to any node in T Although in general the sizes
  • Edge connectivity Vertex connectivity - Algorithms for Competitive . . .
    The Ford-Fulkerson theorem implies, that the biggest number of edge-disjoint paths connecting two vertices, is equal to the smallest number of edges separating these vertices
  • The Disjoint Paths Problem: Algorithm and Structure - Springer
    The focus has recently shifted to find approximation algorithms for lem of finding maximum number of disjoint paths, which we call the edge- (vertex-) disjoint paths problem
  • 26 Maximum Flow - Massachusetts Institute of Technology
    In the maximum-flow problem, we wish to compute the greatest rate at which material can be shipped from the source to the sink without violating any capacity constraints It is one of the simplest problems concerning flow networks and, as we shall see in this chapter, this problem can be solved by efficient algorithms Moreover, the basic techniques used in maximum-flow algorithms can be
  • Efficient Algorithms for Finding the Maximum Number of Disjoint Paths . . .
    In particular, the problem of routing a maximum number of nets to the boundary of component using disjoint paths on a grid has been solved efficiently using network flow algorithms [3, 4]





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