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Graph Orientations with Set Connectivity Requirements

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Algorithms and Computation (ISAAC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5878))

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Abstract

In an undirected or directed graph, the edge-connectivity between two disjoint vertex sets X and Y is defined as the minimum number of edges or arcs that should be removed for disconnecting all vertices in Y from those in X. In this paper, we discuss several conditions for a given undirected graph to have an orientation meeting the edge-connectivity requirements defined on some pairs of vertex sets.

This work was partially supported by Grant-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology of Japan.

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References

  1. Bárász, M., Beckder, J., Frank, A.: An Algorithm for Source Location in Directed Graphs. Operations Research Letters 33, 221–230 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Frank, A.: Orientations of Graphs and Submodular Flows. Conguressus Numerantium 113, 111–142 (1996)

    MATH  Google Scholar 

  3. Fukunaga, T., Nagamochi, H.: The Set Connector Problem in Graphs. In: Fischetti, M., Williamson, D.P. (eds.) IPCO 2007. LNCS, vol. 4513, pp. 484–498. Springer, Heidelberg (2007)

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  4. Ishii, T., Hagiwara, M.: Minimum Augmentation of Local Edge-connectivity between Vertices and Vertex Subsets in Undirected Graphs. Discrete Applied Mathematics 154, 2307–2329 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  5. Ishii, T., Makino, K.: Augmenting Edge-connectivity between Vertex Subsets. In: The Australian Theory Symposium on Computing Theory (2008)

    Google Scholar 

  6. Ito, H.: Node-to-area Connectivity of Graphs. Transactions of the Institute of Electrical Engineers of Japan 11C, 463–469 (1994)

    Google Scholar 

  7. Nash-Williams, C.S.J.A.: On Orientations, Connectivity and Odd Vertex Pairings in Finite Graphs. Canadian Journal of Mathematics 12, 555–567 (1960)

    MATH  MathSciNet  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Fukunaga, T. (2009). Graph Orientations with Set Connectivity Requirements. In: Dong, Y., Du, DZ., Ibarra, O. (eds) Algorithms and Computation. ISAAC 2009. Lecture Notes in Computer Science, vol 5878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10631-6_28

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  • DOI: https://doi.org/10.1007/978-3-642-10631-6_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10630-9

  • Online ISBN: 978-3-642-10631-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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