Skip to main content
SpringerLink
Log in

The proof of a conjecture concerning acyclic molecular graphs with maximal Hosoya index and diameter 4

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

The Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, we solve a conjecture in Ou, J. Math. Chem, DOI: 10.1007/S10910-006-9199-1 concerning acyclic molecular graphs with maximal Hosoya index and diameter 4.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bollobás B. (1998) Modern Graph Theory. Springer, New York

    Google Scholar 

  2. Gutman I., Zhang F. (1986) . Dis. Appl. Math. 15: 25

    Article  Google Scholar 

  3. Gutman I., Polansky O.E. (1986) Mathematical Concepts in Organic Chemistry. Springer, Berlin

    Google Scholar 

  4. Gutman I., Vidović D., Furtula B. (2002) . Chem. Phys. Lett. 355: 378

    Article  CAS  Google Scholar 

  5. Hosoya H. (1971) . Bull. Chem. Soc. Jpn. 44: 2332

    Article  CAS  Google Scholar 

  6. Hosoya H. (1973) . Fibonacci Quart 11: 255

    Google Scholar 

  7. Liu H.-Q., Yan X., Yan Z. (2007) . MATCH Commun. Math. Comput. Chem. 57: 371

    Google Scholar 

  8. J.-P. Ou, J. Math. Chem. DOI: 10.1007/s10910-006-9199-1.

  9. Pan X.-F., Xu J.-M., Yang C., Zhou M.-J. (2007) . MATCH Commun. Math. Comput. Chem. 57: 235

    Google Scholar 

  10. Türker L. (2003) . J. Mol. Struct. (Theochem) 623: 75

    Article  Google Scholar 

  11. Zhang L.-Z., Tian F. (2003) . J. Math. Chem. 34: 111

    Article  Google Scholar 

  12. Yu A.-M., Tian F. (2006) . MATCH Commun. Math. Comput. Chem. 55: 103

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics and Computer Science, Hubei University, Wuhan, 430062, China

    Huiqing Liu

Authors
  1. Huiqing Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Huiqing Liu.

Additional information

Partially supported by NNSFC (No. 10571105, 10671081).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, H. The proof of a conjecture concerning acyclic molecular graphs with maximal Hosoya index and diameter 4. J Math Chem 43, 1199–1206 (2008). https://doi.org/10.1007/s10910-007-9256-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-007-9256-4

Keywords

Search

Navigation