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On the matching properties of three fence graphs

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Abstract

Supplementing the construction of a Möbius ladder graph derived from a ladder graph, the linear fence graph and cyclic fence graph are introduced. These have neater mathematical expressions for the perfect matching numbers and the matching and characteristic polynomials than the graphs in the previous families.

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References

  1. F. Harary, Graph Theory (Addison-Wesley, Reading, 1969).

    Google Scholar 

  2. R.K. Guy and F. Harary, Can. Math. Bull. 10 (1967)493.

    Google Scholar 

  3. D.M. Walba, R.M. Richards and R.C. Haltiwanger, J. Am. Chem. Soc. 104 (1982)3219.

    Google Scholar 

  4. D.M. Walba, J. Simon and F. Harary, Tetrahedron Lett. 29 (1988)731.

    Google Scholar 

  5. H. Hosoya, J. Math. Chem. 7 (1991)289.

    Google Scholar 

  6. H. Hosoya, Bull. Chem. Soc. Japan 44 (1971)2332.

    Google Scholar 

  7. H. Hosoya, Fibonacci Quart. 11 (1973)255.

    Google Scholar 

  8. H. Hosoya and N. Ohkami, J. Comput. Chem. 4 (1983)585.

    Google Scholar 

  9. H. Hosoya and A. Motoyama, J. Math. Phys. 26 (1985)157.

    Google Scholar 

  10. H. Hosoya, Comput. Math. Appl. 12B (1986)271.

    Google Scholar 

  11. H. Hosoya, Discr. Appl. Math. 19 (1988)239.

    Google Scholar 

  12. S.J. Cyvin and I. Gutman,Kekulé Structures in Benzenoid Hydrocarbons, Lecture Notes in Chemistry, No. 46 (Springer, Berlin, 1988).

    Google Scholar 

  13. E. Heilbronner, Helv. Chim. Acta 36 (1953)170.

    Google Scholar 

  14. H. Hosoya, M. Aida, R. Kumagai and K. Watanabe, J. Comput. Chem. 8 (1987)358.

    Google Scholar 

  15. H. Hosoya, H. Kumagai, K. Chida, M. Ohuchi and Y.-D. Gao, Pure Appl. Chem. 62 (1990)445.

    Google Scholar 

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Hosoya, H., Harary, F. On the matching properties of three fence graphs. J Math Chem 12, 211–218 (1993). https://doi.org/10.1007/BF01164636

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  • DOI: https://doi.org/10.1007/BF01164636

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