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Are all polyominoes arbitrarily graceful?

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Graph Theory Singapore 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1073))

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References

  1. B. D. Acharya, On d-sequential graphs, J. Math. Phys. Sci., 17(1) (1983), 21–35.

    MathSciNet  MATH  Google Scholar 

  2. B. D. Acharya, Two theorems on d-graceful graphs, Proc. 51st Session, Nat. Acad. Sci. (India), Ser. A(1981), 55.

    Google Scholar 

  3. B. D. Acharya and M. K. Gill, On the index of gracefulness of a graph and the gracefulness of two-dimensional square lattice graphs, Indian J. Math., 23(1981), 81–94.

    MathSciNet  MATH  Google Scholar 

  4. C. Berge, C. C. Chen, V. Chvatal and C. S. Seow, Combinatorial properties of polyominoes, Combinatorica, 1(3) (1981), 217–224.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. C. Bermond, Graceful graphs, radio-antennae and French windmills, ‘One-day Combinatorial Conference', Open University, 1978. pp 18–37.

    Google Scholar 

  6. G. S. Bloom, Numbered graphs and their applications to X-ray crystallography and other science-engineering problems, Ph. D. Thesis, University of California, 1975.

    Google Scholar 

  7. G. S. Bloom, Personal communication.

    Google Scholar 

  8. M. K. Gill, Contributions to some topics in graph theory and its applications, Ph. D. Thesis, Indian Institute of Technology, Bombay, 1982.

    Google Scholar 

  9. S. W. Golomb, How to number a graph, in ‘Graph Theory and Computing’ (ed.: R. C. Read), Academic Press, New York, 1972, 23–27.

    Chapter  Google Scholar 

  10. F. Harary, Graph Theory, Addison-Wesley, Reading, Massachusetts, 1972.

    MATH  Google Scholar 

  11. M. Maheo, Strongly graceful graphs, Discrete Math., 29(1) (1980), 39–46.

    Article  MathSciNet  MATH  Google Scholar 

  12. M. Maheo and H. Thuillier, d-graceful graphs, Ars Comb., 13(1982), 181–192.

    MathSciNet  MATH  Google Scholar 

  13. A. Rosa, On certain valuations of the vertices of a graph, in ‘Theorie des Graphes', Journees Internationales d'etude, Rome (Juillet 1966), Dunod, Paris, 1967, 349–355.

    Google Scholar 

  14. D. A. Sheppard, The factorial representation of balanced labelled graphs, Discrete Math., 15(1976), 379–388.

    Article  MathSciNet  MATH  Google Scholar 

  15. P. J. Slater, On sequential and other numbered graphs, Discrete Math., 34(1981), 185–193.

    Article  MathSciNet  MATH  Google Scholar 

  16. P. J. Slater, On k-graceful countable infinite graphs, Preprint (National University of Singapore), October 1982.

    Google Scholar 

  17. C. Thomassen, Personal communcation.

    Google Scholar 

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Khee Meng Koh Hian Poh Yap

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© 1984 Springer-Verlag

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Acharya, B.D. (1984). Are all polyominoes arbitrarily graceful?. In: Koh, K.M., Yap, H.P. (eds) Graph Theory Singapore 1983. Lecture Notes in Mathematics, vol 1073. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073118

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  • DOI: https://doi.org/10.1007/BFb0073118

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  • Print ISBN: 978-3-540-13368-1

  • Online ISBN: 978-3-540-38924-8

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