Combinatorial and Network Algorithms

Conference paper


We shall discuss three classes of algorithms:
  1. (A)

    Network algorithms which can be adapted to solve various cost functions.

  2. (B)

    Auction-type algorithms most suitable for parallel and distributed computations.

  3. (C)

    Stochastic algorithms such as simulated annealing and its siblings.



  1. [1]
    D. P. Bertsekas. Linear Network Optimization. MIT Press, Cambridge, MA, 1991.Google Scholar
  2. [2]
    D. P. Bertsekas and J. N. Tsitsiklis. Parallel and Distributed Computation. Prentice Hall, Englewood Cliffs, NJ, 1989.Google Scholar
  3. [3]
    E. Dijkstra. A note on two problems in connection with graphs. Numerische Mathematik, 1:269–271, 195CrossRefGoogle Scholar
  4. [4]
    R. W. Floyd. Algorithm 97, shortest path. Communications of the ACM, 5:345, 1962.CrossRefGoogle Scholar
  5. [5]
    D. Gale and L. S. Shapley. College admissions and stability of marriage. American Mathematical Monthly, 69(1):9–15, 1962.CrossRefGoogle Scholar
  6. [6]
    R. E. Gomory and T. C. Hu. Multi-terminal network flows. SIAM Journal on Applied Mathematics, 9(4):551–570,1961.Google Scholar
  7. [7]
    D. Gusfield and R. W. Irving. The Stable Marriage Problem. MIT Press, Cambridge, MA, 1989.Google Scholar
  8. [8]
    R. Hassin. Solution basis of multi-terminal cut problems. Mathematics of Operation Research, 13(4):535–542, 1988.CrossRefGoogle Scholar
  9. [9]
    T. C. Hu. Beauty contests, college admissions and bargaining. Journal of Recreational Mathematics, 14(4):252–261, 1981-82.Google Scholar
  10. [10]
    T. C. Hu. Combinatorial Algorithms. Addison-Wesley, Reading, MA, 1982.Google Scholar
  11. [11]
    T. C. Hu, D. J. Kleitman, and J. K. Tamaki. Multi-terminal network flows. SIAM Journal on Applied Mathematics, 37(2):246–256, 1979.CrossRefGoogle Scholar
  12. [12]
    S. Warshall. A theorem on boolean matrices. Journal of the ACM, 9:11–12, 1962.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • T.C. Hu
    • 1
  1. 1.Department of Computer Science and EngineeringUniversity of CaliforniaSan Diego La JollaUSA

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