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Local Restoration for Trees and Arborescences

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Traffic Management and Traffic Engineering for the Future Internet (FITraMEn 2008)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 5464))

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Abstract

Protocols belonging to the Spanning Tree Protocol (STP) route traffic demands on tree topologies that are evaluated through shortest path procedures. In this paper we deal with the problem of assigning costs to the arcs of a network in order to guarantee that SPT protocols efficiently re-route traffic demands in failure situations: namely, without redirecting traffic demands that are not affected by the failure. We say that a communication network has the local tree-restoration property if there exists a set of costs for its arcs such that the above property holds.

We show that an undirected network has the local tree-restoration property if and only if it is 2-connected. In particular, we provide a quite simple procedure for assigning costs to the arcs of a 2-connected network so that the property holds. For the directed case, we show that deciding whether a network has the local tree-restoration property is NP-hard, even in some “simple” cases.

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References

  1. Brightwell, G., Oriolo, G., Sheperd, F.B.: Reserving Resilient Capacity in a Network. Siam Journal on Discrete Mathematics 14(4), 524–539 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  2. Flocchini, P., Pagli, L., Prencipe, G., Santoro, N., Widmayer, P.: Computing all the best swap edges distributively. Journal of Parallel and Distributed Computing 68(7) (2008)

    Google Scholar 

  3. Grötschel, M., Monma, C.L., Stoer, M.: Design of survivable networks. In: Handbook in OR and MS, vol. 7, pp. 617–672. Elsevier, Amsterdam (1995)

    Google Scholar 

  4. Kolarov, A., Sengupta, B., Iwata, A.: Design of Multiple Reverse Spanning Trees in Next Generation of Ethernet-VPNs. In: IEEE GLOBECOM 2004, vol. 3, pp. 1390–1395 (2004)

    Google Scholar 

  5. Nardelli, E., Proietti, G., Widmayer, P.: Swapping a Failing Edge of a Single Source Shortest Paths Tree Is Good and Fast. Algorithmica 35, 56–74 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Padmaraj, M., Nair, S., Marchetti, M., Chiruvolu, G., Ali, M.: Traffic Engineering in Enterprise Ethernet with Multiple Spanning Tree Regions. In: Proc. of System Communications (ICW 2005), Montreal, Canada, pp. 261–266 (2005)

    Google Scholar 

  7. Sharma, S., Gopalan, K., Nanda, S., Chiueh, T.: Viking: A Multi-Spanning-Tree Ethernet Architecture for Metropolitan Area and Cluster Networks. In: IEEE INFOCOM 2004, vol. 4, pp. 2283–2294 (2004)

    Google Scholar 

  8. de Sousa, A.F., Soares, G.: Improving Load Balance and Minimizing Service Disruption on Ethernet Networks using IEEE 802.1S MSTP. In: Proc. EuroFGI Workshop on IP QoS and Traffic Control, Lisbon, Portugal, vol. 1, pp. 25–35 (2007)

    Google Scholar 

  9. Sperduto, E.: Combinatorial structures in communication networks, Ph. D. thesis in Computer Science and Automation, Università Roma Tre (2008)

    Google Scholar 

  10. Tarjan, R.: Depth-first search and linear graph algorithms. SIAM Journal on Computing 1(2), 146–160 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  11. Standard IEEE 802.1D

    Google Scholar 

  12. Standard IEEE 802.1s

    Google Scholar 

  13. Standard IEEE 802.1w

    Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Iovanna, P., Nicosia, G., Oriolo, G., Sanità, L., Sperduto, E. (2009). Local Restoration for Trees and Arborescences. In: Valadas, R., Salvador, P. (eds) Traffic Management and Traffic Engineering for the Future Internet. FITraMEn 2008. Lecture Notes in Computer Science, vol 5464. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04576-9_9

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  • DOI: https://doi.org/10.1007/978-3-642-04576-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04575-2

  • Online ISBN: 978-3-642-04576-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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