The Hamilton circuit problem on grids

Foto Afrati

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1994)

  • Volume: 28, Issue: 6, page 567-582
  • ISSN: 0988-3754

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Afrati, Foto. "The Hamilton circuit problem on grids." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 28.6 (1994): 567-582. <http://eudml.org/doc/92494>.

@article{Afrati1994,
author = {Afrati, Foto},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {Hamilton circuit problem; grid graphs},
language = {eng},
number = {6},
pages = {567-582},
publisher = {EDP-Sciences},
title = {The Hamilton circuit problem on grids},
url = {http://eudml.org/doc/92494},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Afrati, Foto
TI - The Hamilton circuit problem on grids
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1994
PB - EDP-Sciences
VL - 28
IS - 6
SP - 567
EP - 582
LA - eng
KW - Hamilton circuit problem; grid graphs
UR - http://eudml.org/doc/92494
ER -

References

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  1. 1. A. V. AHO, J. E. HOPCROFT and J. D. ULLMAN, The design and Analysis of Computer Algorithms, Addision Wesley, Reading MA., 1974. Zbl0326.68005MR413592
  2. 2. M. GAREY and D. JOHNSON, Computers and Intractability: A Guide to the Theory of NP-completeness, Freeman & Company, San Fransisco, 1979. Zbl0411.68039MR519066
  3. 3. A. ITAI, C. H. PAPADIMITRIOU and J. SZWARCFITER, Hamilton paths in grid graphs, SIAM J. Computing, November 1982, 11, 4, pp. 676-686. Zbl0506.05043MR677661
  4. 4. R. M. KARP and V. RAMACHANDRAN, A survey of parallel algorithms for shared-memory machines, Technical Report CSD 88/408, UCB, 1988. Zbl0900.68267
  5. 5. D. ANGLUIN and L. VALIANT, Fast Probabilistic Algorithms for Hamiltonian Circuits and Matchings, J. Computer Syst., 1979, 18, pp. 155-193. Zbl0437.05040MR532174
  6. 6. C. BERGE, Graphs and Hypergraphs, North-Holland-American Elsevier, 1973. Zbl0254.05101MR357172
  7. 7. B. BOLLOBAS, Extremal Graph Theory, Academic Press, London 1978. Zbl0419.05031MR506522
  8. 8. A. M. FRIEZE, Parallel Algorithms for finding Hamiltonian Cycles in Random Graphs, Information Processing Letters, 1987, 25, pp. 111-117. Zbl0653.68071MR896153
  9. 9. D. SOROKER, Fast Parallel Algorithms for finding Hamiltonian Paths and Cycles in a Tournament, Technical Report No. UCB/CSD 87/309, University of California, Berkeley 1986. Zbl0644.05036MR936110
  10. 10. E. DAHLHAUS, P. HAJNAL and M. KARPINSKI, Optimal Parallel Algorithm for the Hamiltonian Cycle Problem on Dense Graphs, Proceedings 29th IEEE FOCS, 1988, pp. 186-193. 
  11. 11. J. SILVESTER and L. KLEINROCK, On the Capacity of Multihop slottee ALOHA Networks with Regular Structure, IEEE Transactions on Communications, COM-31, August 1983, pp. 974-982. 

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