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Data structures for on-line updating of matroid intersection solutions

Published: 01 December 1984 Publication History

Abstract

Matroid intersection problems are considered in which one of the matroids is a partition matroid specifying that exactly q elements in the solution must be red, and the rest green. A characterization is presented for how the solution changes when one element changes in cost. Data structures are given for maintaining the solutions to several such problems online under the operation of changing an edge cost. Efficient update algorithms are given for maintaining a red-green minimum spanning tree in both a general and a planar graph, and a red-green job schedule for unit-time jobs with integer release times and deadlines.

References

[1]
O. Boruvka, O jistem problemu minimalnim, Praca Moravske Prirodovedecke Spolecnosti 3 (1926) 37-58.
[2]
D. Cheriton and R. Tarjan, Finding minimum spanning trees, SIAM J. Comput. 5 (1976) 724-742.
[3]
G. N. Frederickson, Data structures for on-line updating of minimum spanning trees, Proc. 15th ACM Symp. on Theory of Computing, Boston (April 1983) 252-257.
[4]
G. N. Frederickson and M. A. Srinivas, On-line updating of degree-constrained minimum spanning trees, Extended abstract (1983).
[5]
H. N. Gabow and R. E. Tarjan, Efficient algorithms for a family of matroid intersection problems, to appear in J. Algorithms.
[6]
D. Gusfield, Matroid optimization with the interleaving of two ordered sets, to appear in Disc. Appl. Math.
[7]
E. L. Lawler, Combinatorial Optimization: Networks and Matroids, Holt, Rinehart and Winston, New York (1976).
[8]
M.H. Overmars and J. van Leeuwen, Maintenance of configurations in the plane, J. Comp. Sys. Sci. 23, 2 (October 1981) 166-204.
[9]
D. D. Sleator and R. E. Tarjan, A data structure for dynamic trees, J. Comp. Sys. Sci. 26 (1983) 362-391.
[10]
D. J. A. Welsh, Matroid Theory, Academic Press, New York (1976).
[11]
D. E. Willard and G. Lueker, A transformation for adding range restriction capability to data structures, to appear in J ACM.
[12]
A.C. Yao, An O(EloglogV) algorithm for finding minimum spanning trees, |Inf. Proc. Lett. 4# (1975) 21-23.

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cover image ACM Conferences
STOC '84: Proceedings of the sixteenth annual ACM symposium on Theory of computing
December 1984
547 pages
ISBN:0897911334
DOI:10.1145/800057
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

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Published: 01 December 1984

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