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Integral packing of branchings in capacitaded digraphs

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Abstract

We prove that an algorithm of Schrijver, that computes an integral packing of branchings in a capacitaded digraph, produces a packing with no more than \(m + r - 1\) different branchings, where \(m\) is the number of arcs, and \(r\) the number of root-sets of the digraph.

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References

  • Edmonds J (1973) Edge-disjoint branchings, combinatorial algorithms. Academic Press, New York

    Google Scholar 

  • Frank A (2011) Connections in combinatorial optimization, Oxford Lectures in mathematics and its applications, vol 38. Oxford University Press, Oxford

    Google Scholar 

  • Gabow HN, Manu KS (1998) Packing algorithms for arborescences (and spanning trees) in capacitated graphs. Math Program 82:83–109

    MathSciNet  MATH  Google Scholar 

  • Lovász L (1976) On two minimax theorems on graph theory. J Comb Theory Ser B 21:96–103

    Article  MATH  Google Scholar 

  • Schrijver A (2003) Combinatorial optimization: polyhedra and efficiency. Springer, Berlin

    Google Scholar 

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Acknowledgments

We thank the referees for suggestions that improved the presentation of this paper.

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Correspondence to Mario Leston-Rey.

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This paper is dedicated to the memory of Antonio Leston Rey.

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Leston-Rey, M. Integral packing of branchings in capacitaded digraphs. J Comb Optim 31, 506–514 (2016). https://doi.org/10.1007/s10878-014-9768-3

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  • DOI: https://doi.org/10.1007/s10878-014-9768-3

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