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Distributed Algorithms for Minimum Spanning Trees

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  1. Awerbuch B (1987) Optimal distributed algorithms for minimum weight spanning tree, counting, leader election and related problems (detailed summary). In: Proceedings of the 19th annual ACM symposium on theory of computing, New York City. ACM, New York, pp 230–240

    Google Scholar 

  2. Borůvka O (2001) Otakar Borůvka on minimum spanning tree problem (translation of both the 1926 papers, comments, history). Discret Math 233: 3–36

    Article  MATH  Google Scholar 

  3. Burns JE (1980) A formal model for message-passing systems, TR-91. Indiana University, Bloomington

    Google Scholar 

  4. Frederickson G, Lynch N (1984) The impact of synchronous communication on the problem of electing a leader in a ring. In: Proceedings of the 16th annual ACM symposium on theory of computing, Washington, DC. ACM, New York, pp 493–503

    Google Scholar 

  5. Gallager RG, Humblet PA, Spira PM (1983) A distributed algorithm for minimum-weight spanning trees. ACM Trans Prog Lang Syst 5(1): 66–77

    Article  MATH  Google Scholar 

  6. Johansen KE, Jorgensen UL, Nielsen SH (1987) A distributed spanning tree algorithm. In: Proceedings of the 2nd international workshop on distributed algorithms (DISC), Amsterdam. Lecture notes in computer science, vol 312. Springer, Berlin/Heidelberg, pp 1–12

    Google Scholar 

  7. Korach E, Moran S, Zaks S (1984) Tight upper and lower bounds for some distributed algorithms for a complete network of processors. In: Proceedings of the 3rd symposium on principles of distributed computing (PODC), Vancouver. ACM, New York, pp 199–207

    Google Scholar 

  8. Korach E, Moran S, Zaks S (1985) The optimality of distributive constructions of minimum weight and degree restricted spanning trees in a complete network of processors. In: Proceedings of the 4th symposium on principles of distributed computing (PODC), Minaki. ACM, New York, pp 277–286

    Google Scholar 

  9. Lotker Z, Patt-Shamir B, Pavlov E, Peleg D (2005) Minimum-weight spanning tree construction in \(O(\log \log \ n)\) communication rounds. SIAM J Comput 35(1):120–131

    Article  MathSciNet  MATH  Google Scholar 

  10. Lotker Z, Patt-Shamir B, Peleg D (2006) Distributed MST for constant diameter graphs. Distrib Comput 18(6):453–460

    Article  MATH  Google Scholar 

  11. Moses Y, Shimony B (2006) A new proof of the GHS minimum spanning tree algorithm. In: 20th international symposium on distributed computing (DISC), Stockholm, 18–20 Sept 2006. Lecture notes in computer science, vol 4167. Springer, Berlin/Heidelberg, pp 120–135

    Google Scholar 

  12. Wu BY, Chao KM (2004) Spanning trees and optimization problems. Discrete mathematics and its applications. Chapman Hall, Boca Raton

    Book  Google Scholar 

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Correspondence to Sergio Rajsbaum .

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Rajsbaum, S. (2016). Distributed Algorithms for Minimum Spanning Trees. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_116

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