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Reductions of Matrices Associated with Nowhere-Zero Flows

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Combinatorial Algorithms (IWOCA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6460))

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Abstract

Recently we have developed a method excluding certain subgraphs from a smallest counterexample to the 5-flow conjecture. This is based on comparing ranks of two matrices of large size. The aim of this paper is to be more effective by applying these methods so that we reduce the size of matrices used in the computation.

Supported by grants VEGA 2/0118/10 and RI 5/06 DFM.

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Author information

Authors and Affiliations

  1. MÚ SAV, Štefánikova 49, 814 73, Bratislava 1, Slovakia

    Martin Kochol

  2. FPV ŽU, Univerzitná 8215/1, 010 26, Žilina, Slovakia

    Nad’a Krivoňáková, Silvia Smejová & Katarína Šranková

Authors
  1. Martin Kochol
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  2. Nad’a Krivoňáková
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  3. Silvia Smejová
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  4. Katarína Šranková
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of London, King’s College, The Strand, WC2R 2LS, London, UK

    Costas S. Iliopoulos

  2. Department of Computing and Software, McMaster University, 1280 Main Street West, L8S 4K1, Hamilton, ON, Canada

    William F. Smyth

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Kochol, M., Krivoňáková, N., Smejová, S., Šranková, K. (2011). Reductions of Matrices Associated with Nowhere-Zero Flows. In: Iliopoulos, C.S., Smyth, W.F. (eds) Combinatorial Algorithms. IWOCA 2010. Lecture Notes in Computer Science, vol 6460. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19222-7_20

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  • DOI: https://doi.org/10.1007/978-3-642-19222-7_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19221-0

  • Online ISBN: 978-3-642-19222-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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