Parallel algorithms in combinatorial optimization: an annotated bibliography

This is an annotated bibliography of the literature on parallel computers and algorithms that is relevant for combinatorial optimization. We briefly survey the publications on machine models, computational complexity and numerical problems, then deal with papers on discrete computer science and graph theory in more detai~, and finally discuss the research reported so far on specific PFoblems of combinatorial optimization. These seven papers outline the results obtained on solving recurrence relations. Several types of such relations are attacked successfully, although for the first-order recurrence problem p processors can achieve a speedup of at most (2p+1)/3 [Hyafil & Kung 1977].

[1]  K. Mani Chandy,et al.  Distributed computation on graphs: shortest path algorithms , 1982, CACM.

[2]  John Staples,et al.  The Maximum Flow Problem is Log Space Complete for P , 1982, Theor. Comput. Sci..

[3]  Basile Kamdoum.  Speeding up the primal simplex algorithm on parallel computer , 1982, SMAP.

[4]  Uzi Vishkin,et al.  An O(n² log n) Parallel MAX-FLOW Algorithm , 1982, J. Algorithms.

[5]  Sartaj Sahni,et al.  Parallel Matrix and Graph Algorithms , 1981, SIAM J. Comput..

[6]  Wing H. Huen,et al.  Distributed Enumeration on Between Computers , 1980, IEEE Transactions on Computers.

[7]  D. Al-Dabass.  Two methods for the solution of the dynamic programming algorithm on a multiprocessor cluster , 1980 .

[8]  David E. Muller,et al.  Restructuring of Arithmetic Expressions For Parallel Evaluation , 1976, JACM.

[9]  Shmuel Winograd,et al.  On the Parallel Evaluation of Certain Arithmetic Expressions , 1975, JACM.

[10]  David J. Kuck,et al.  Time Bounds on the Parallel Evaluation of Arithmetic Expressions , 1975, SIAM J. Comput..

[11]  Richard P. Brent,et al.  The Parallel Evaluation of General Arithmetic Expressions , 1974, JACM.

[12]  R. Larson,et al.  Dynamic programming and parallel computers , 1973 .

[13]  Kiyoshi Maruyama,et al.  The Parallel Evaluation of Arithmetic Expressions Without Division , 1973, IEEE Transactions on Computers.

[14]  Kiyoshi M. Maruyama,et al.  On the Parallel Evaluation of Polynomials , 1973, IEEE Transactions on Computers.