A Minimax Arc Theorem for Reducible Flow Graphs
SIAM Journal on Discrete MathematicsPublished 1 November 1990
Vijaya Ramachandran
Citations22
SJR quartileQ1
SJR score1.09
SNIP1.23
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TL;DR
A conjecture of Frank and Gyarfas is established by proving that the cardinality of a minimum feedback arc set in a reducible flow graph is equal to the cardinalities of a maximum collection of arc disjoint cycles.
Abstract
A conjecture of Frank and Gyarfas is established by proving that the cardinality of a minimum feedback arc set in a reducible flow graph is equal to the cardinality of a maximum collection of arc disjoint cycles.
Keywords
Computer ScienceMathematics
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The backward edges of a reducible flow graph are unique and it is shown that there is a “natural” single-entry loop associated with each backward edge of a reducing flow graph.
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It is shown that any algorithm that solves the FAS problem or the vertex-weighted FVS problem on reducible flow graphs has time complexity at least that of finding a minimum cut in a flow network, for which the best algorithms currently known have time complexity.
