Skip to main content
SpringerLink
Log in

Distance-Related Invariants of Fasciagraphs and Rotagraphs

  • Conference paper
Book cover Information Computing and Applications (ICICA 2011)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 7030))

Included in the following conference series:

  • 2441 Accesses

Abstract

The Szeged index, edge Szeged index and GA 2 index of graphs are new topological indices presented very recently. In this paper, a definition approach to the computation of distance-related invariants of fasciagraphs and rotagraphs is presented. Using those formulas, the Szeged index, edge Szeged index and GA 2 index of several graphs are computed.

Supported by the Scientific Research Foundation of the Education Department of Guangxi Province of China (201010LX471;201010LX495;201106LX595; 201106LX608); the Natural Science Fund of Hechi University (2011YBZ-N003).

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Babic, D., Graovac, A., Mohar, B., Pisanski, T.: The matching polynomial of a polygraph. Discrete Appl. Math. 15, 11–24 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  2. Juvan, M., Mohar, B., Graovac, A., Klavzar, S., Zerovnik, J.: Fast computation of the Wiener index of fasciagraphs and rotagraphs. J. Chem. Inf. Comput. Sci. 35, 834–840 (1995)

    Article  Google Scholar 

  3. Klavzar, S., Zerovnik, J.: Algebraic approach to fasciagraphs and rotagraphs. Discrete Appl. Math. 68, 93–100 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  4. Mekenyan, O., Dimitrov, S., Bonchev, D.: Graph-theoretical approach to the calculation of physico-chemical properties of polymers. European Polym. J. 19, 1185–1193 (1983)

    Article  Google Scholar 

  5. Chang, T.Y., Clark, W.E.: The domination numbers of the 5×n and 6×n grid graphs. J. Graph Theory 17, 81–107 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  6. Dolati, A., Motevavian, I., Ehyaee, A.: Szeged index, edge Szeged index, and semi-star trees. Discrete Appl. Math. 158, 876–881 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  7. Mansour, T., Schork, M.: The vertex PI index and Szeged index of bridge graphs. Discrete Appl. Math. 157, 1600–1606 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  8. Fath-Tabar, G., Furtula, B., Gutman, I.: A new geometric-arithmetic index. J. Math. Chem. 47, 477–486 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  9. Zhou, B., Gutman, I., Furtula, B., Du, Z.: On two types of geometric-arithmetic index. Chem. Phys. Lett. 482, 153–155 (2009)

    Article  Google Scholar 

  10. Eliasi, M., Iranmanesh, A.: On ordinary generalized geometric-arithmetic index. Appl. Math. Lett. (in press)

    Google Scholar 

  11. Hao, J.: Some graphs with extremal PI index. MATCH Commun. Math. Comput. Chem. 63, 211–216 (2010)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Hechi University, Yizhou, Guangxi, 546300, China

    Fuqin Zhan & Youfu Qiao

  2. Department of Chemistry and Life Science, Hechi University, Yizhou, Guangxi, 546300, China

    Huiying Zhang

Authors
  1. Fuqin Zhan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Youfu Qiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Huiying Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. College of Science, Hebei United University, Xinhua West Road 46, 063000, Tangshan, Hebei, China

    Baoxiang Liu

  2. School of Computer Science and Information Engineering, Zhejiang Gongshang University, Xueheng Street 18, 310018, Hangzhou, China

    Chunlai Chai

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhan, F., Qiao, Y., Zhang, H. (2011). Distance-Related Invariants of Fasciagraphs and Rotagraphs. In: Liu, B., Chai, C. (eds) Information Computing and Applications. ICICA 2011. Lecture Notes in Computer Science, vol 7030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25255-6_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25255-6_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25254-9

  • Online ISBN: 978-3-642-25255-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation