Parallel algorithms on interval graphs

V. B. Balayogan; C. Pandu Rangan

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1995)

  • Volume: 29, Issue: 6, page 451-470
  • ISSN: 0988-3754

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Balayogan, V. B., and Pandu Rangan, C.. "Parallel algorithms on interval graphs." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 29.6 (1995): 451-470. <http://eudml.org/doc/92518>.

@article{Balayogan1995,
author = {Balayogan, V. B., Pandu Rangan, C.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {depth first search; breadth first search trees},
language = {eng},
number = {6},
pages = {451-470},
publisher = {EDP-Sciences},
title = {Parallel algorithms on interval graphs},
url = {http://eudml.org/doc/92518},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Balayogan, V. B.
AU - Pandu Rangan, C.
TI - Parallel algorithms on interval graphs
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1995
PB - EDP-Sciences
VL - 29
IS - 6
SP - 451
EP - 470
LA - eng
KW - depth first search; breadth first search trees
UR - http://eudml.org/doc/92518
ER -

References

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  1. [BSV88] O. BERKMAN, B. SCHIEBER and U. VISHKIN, Some doubly logarithmic optimal algorithms based on nearest smallers, Research Report RC 14128 (#63291), IBM Research Division, Israel, 1988. 
  2. [BB87] A. A. BERTOSSI, and M. A. BONUCCELLI, Some parallel algorithms on interval graphs, Discrete Applied Mathematics, 1987, 16, pp. 101-111. Zbl0636.68087MR874909
  3. [C86] R. COLE, Parallel merge sort, Proc. 27th Annual Symposium on the Foundations of Computer Science, 1986, pp. 511-516. 
  4. [GDSP90] G. D. S. RAMKUMAR and C. PANDU, RANGAN, Parallel algorithms on interval graphs, Volume 3 in the Proc. 1990 International Conference on Parallel Processing, 1990, pp. 72-75. 
  5. [G80] M. C. GOLUMBIC, Algorithmic Graph Theory and Perfect Graphs, Academic Press, New York, USA, 1980. Zbl0541.05054MR562306
  6. [K88] P. KLEIN, Efficient parallel algorithms on chordal graphs, Laboratory for Computer Science, MIT, USA, 1988. Also Appeared as Chapter 8 in [R93]. 
  7. [MJ88] A. MOITRA and R. JOHNSON, Parallel algorithms for maximum matching and other problems on interval graphs, TR 88-927, Cornell University, Ithaca, USA, 1988. 
  8. [RP88] G. RAMALINGAM and C. PANDU, RANGAN, A unified approach to domination problems on interval graphs, Information Processing Letters, 1988, 27, pp. 271-274. Zbl0658.05040MR942582
  9. [R85] J. H. REIF, Depth First Search is inherently sequential, Information Processing Letters, 1985, 20, pp. 229-234. Zbl0572.68051MR801987
  10. [R93] J. H. REIF, Synthesis of Parallel Algorithms, Morgan Kaufmann, California, USA, 1993. MR1212591
  11. [R76] F. S. ROBERTS, Discrete Mathematical Models with Applications to Social, Biological and Environmental problems, Prentice-Hall, Englewood Cliffs, New Jersey, USA, 1976. Zbl0363.90002
  12. [SW88] J. E. SAVAGE and M. G. WLOKA, A parallel algorithm for channel routing, Proceedings of WG'88, Graph-theoretic Concepts in Computer Science (published as Lecture Notes in Computer Science, Springer-Verlag, New York, 1988). MR1024855
  13. [TC84] Y. H. TSIN and F. Y. CHIN, Efficient parallel algorithms for a class of graph theoretic problems, SIAM Journal of Computing, 1984, 13, pp. 580-599. Zbl0545.68060MR749708
  14. [SG91] M. A. SRIDHAR and S. GOYAL, Efficient parallel Computation of Hamiltonian Paths and Circuits in Interval Graphs, Proc. Int. Conf. On Parallel Processing, Vol. 3, 1991, pp. 83-90. 
  15. [K89] S. K. KIM, Optimal Parallel Algorithms on Sorted Intervals, Proc. 27th Annual Allerton Conf. on Comm., control and Computing, 1989, pp. 766-775. 
  16. [OSZ90] S. OLARIU, J. L. SCHWING and J. ZHANG, Optimal Parallel Algorithms for Problems Modelled by a Family of Intervals, Proc. 28th Annual Allerton Conf. on Comm., Control and Computing, 1990, pp. 282-291. 
  17. [SK91] Alan P. SPRAGUE and K. H. KULKARNI, Optimal Parallel algorithms for finding the Cut vertices and Bridges of Interval graphs, Technical report, University of Alabama, USA, June, 1991. Zbl0764.68054MR1170882
  18. [DC92] S. K. DAS and C. C. Y. CHEN, Efficient Parallel Algorithms on Interval graphs, Technical report, Department of Computer science, University of North texas, USA, 1992. MR1230239
  19. [JJ92] Joseph JA JA, An Introduction to Parallel Algorithms, Addison Wesley, USA, 1992. Zbl0781.68009

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