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A Distributed Algorithm for Minimum-Weight Spanning Trees | ACM Transactions on Programming Languages and Systems

  • ️SpiraP. M.
  • ️Sat Jan 01 1983

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References

[1]

DALAL, Y. Broadcast protocols in packet switched computer networks. Tech. Rep. 128, Dep. of Electrical Engineering, Stanford Univ., Apr. 1977 (revised version for publication in preparation).

[2]

DIJKSTRA, E. Two problems in connection with graphs. Numer. Math. I (1959), 269-271.

[3]

HUMBLET, P.A. A distributed algorithm for minimum weight directed spanning trees. Rep. LIDS-P-1149, Laboratory for Information and Decision Systems, Massachusetts Inst. of Technology, Cambridge, Mass., Sept. 1981.

[4]

KRUSKAL, J.B. On the shortest spanning subtree of a graph and the traveling salesman problem. Proc. Am. Math. Soc. 7 (1956), 48-50.

[5]

LAWLER, E. Combinatorial Optimization-Networks and Matroids. Holt, Rinehart & Winston, New York, 1976.

[6]

LIU, C.L. Introduction to Combinatorial Mathematics. McGraw Hill, New York, 1968.

[7]

PRIM, R.C. Shortest connection networks and some generalizations. Bell Syst. Tech. J. 36 (1957), 1389-1401.

[8]

SPmA, P. Communication complexity of distributed minimum spanning tree algorithms. In Proceedings, 2nd Berkeley Conference on Distributed Data Management and Computer Networks, Berkeley, Calif., June 1977.

[9]

YAO, A.C.C. An O(E log log V) algorithm for finding minimum spanning trees. Inf. Process. Lett. 4 (1975), 21-23.

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  1. A Distributed Algorithm for Minimum-Weight Spanning Trees

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              cover image ACM Transactions on Programming Languages and Systems

              ACM Transactions on Programming Languages and Systems  Volume 5, Issue 1

              Jan. 1983

              125 pages

              Copyright © 1983 ACM.

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              Association for Computing Machinery

              New York, NY, United States

              Publication History

              Published: 01 January 1983

              Published in TOPLAS Volume 5, Issue 1

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