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Extremal Graphs of Chemical Trees with Minimal Atom-Bond Connectivity Index

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Fuzzy Information and Engineering and Decision (IWDS 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 646))

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Abstract

The atom-bond connectivity (ABC) index is a degree-based molecular structure descriptor that found chemical applications. A chemical tree is a tree whose maximum degree is no greater than 4. The lower bound of ABC index for chemical trees has been obtained by Furtula et al. [Discrete Applied Mathematics, 157(2009)2828-2835]. In this paper, we sharpened the lower bound of atom-bond connectivity index of chemical trees of some particular cases. In addition, a way to obtain extremal graphs is obtained, which shows the complexity of the structure of extremal graphs.

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References

  1. Todeschini, R., Consonni, V.: Handbook of Molecular Descriptors. Wiley-VCH, Weinheim (2000)

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  2. Furtula, B., Traovac, A., Vukičević, D.: Atom-bond connectivity index of trees. Discr. Appl. Math. 157, 2828–2835 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gutman, I., Furtula, B., Ivanović, M.: Notes on trees with minimal atom-bondconnectivity index. MATCH Commun. Math Comput. Chem. 67, 467–482 (2012)

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  4. Lin, W., Lin, X., Tao, T., Wu, X.: Proving a conjecture of gutman concerning trees with minimal ABC index. MATCH Commun. Math. Comput. Chem. 69, 549–557 (2013)

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  5. XinT, R., Zhoua, B.: Extremal trees with fixed degree sequence for atom-bond connectivity index. Filomat 26(4), 683–688 (2012)

    Article  MathSciNet  Google Scholar 

  6. Tan, L., Liu, B., Yu, Z.: The ABC index of trees with given degree sequence. Commun. Math. Comput. Chem. 68, 137–145 (2012)

    MathSciNet  Google Scholar 

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Acknowledgements

Thanks to the support by National Undergraduate Project Funding for Innovation and Entrepreneurship in 2015, Code201510564282.

Recommender: Muhuo Liu, South China Agricultural University, Associate Professor.

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Authors and Affiliations

  1. College of Mathematics and Informatics (College of Software), South China Agricultural University, Guangzhou, 510635, China

    Fu-yi Wei, Zi-yang Xie, Guo-bin Zhang, Wei-peng Ye & Yan-li Zhu

  2. School of Accountancy, Central University of Finance and Economics, Beijing, 102206, China

    Qu-Wei

Authors
  1. Fu-yi Wei
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  2. Zi-yang Xie
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  3. Qu-Wei
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  4. Guo-bin Zhang
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  5. Wei-peng Ye
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  6. Yan-li Zhu
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Corresponding author

Correspondence to Fu-yi Wei .

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Editors and Affiliations

  1. Guangzhou Vocational College of Science and Technology, Guangzhou, China

    Bing-Yuan Cao

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Wei, Fy., Xie, Zy., Qu-Wei, Zhang, Gb., Ye, Wp., Zhu, Yl. (2018). Extremal Graphs of Chemical Trees with Minimal Atom-Bond Connectivity Index. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_28

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  • DOI: https://doi.org/10.1007/978-3-319-66514-6_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66513-9

  • Online ISBN: 978-3-319-66514-6

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