Mercurial > hgrepos > Python > libs > pygments-lexer-pseudocode2

annotate docs/algorithm-ford-fulkerson.pseudocode @ 131:0455294e20c4

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First and basic documentation of FrPseudocodeLeser
author Franz Glasner <fzglas.hg@dom66.de>
date Wed, 06 May 2026 21:35:06 +0200
parents 9bfd87544902
children
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1 // -*- coding: utf-8; indent-tabs-mode: nil -*-
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2 \ALGORITHM{Ford–Fulkerson} \WITH
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3 \INPUTS{Given a network \expr{G = (V, E)} with flow capacity \expr{c}, a source node \expr{s}, and a sink node \expr{t}}
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4 \OUTPUT{Compute a flow \expr{f} from \expr{s} to \expr{t} of maximum value}
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5 \IS
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6 \TEXT{1. \expr{f(u, v) \gets 0} for all edges \expr{(u, v)}
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8 2. While there is a path \expr{p} from \expr{s} to \expr{t} in \expr{G_f},
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9 such that \expr{c_f(u, v) > 0} for all edges \expr{(u, v) ∈ p}:
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11 1. Find \expr{c_f(p) = min{c_f(u, v): (u, v) ∈ p\}}
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13 2. For each edge \expr{(u, v) ∈ p}
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15 1. \expr{f(u, v) \gets f(u, v) + c_f(p)} \rem Send flow along the path
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17 2. \expr{f(v, u) \gets f(v, u) - c_f(p)} \rem The flow might be "returned" later
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18 }
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19 \END ALGORITHM {Ford–Fulkerson}