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Cluster Computing

, Volume 22, Supplement 3, pp 5691–5701 | Cite as

The computation on \(\alpha \)-connectedness index of uncertain graph

  • Xiulian GaoEmail author
  • Changyou Guo
  • Xiuling Yin
  • Xuedou Yu
Article
  • 197 Downloads

Abstract

This paper investigates the problem about \(\alpha \)-connectedness index of uncertain graph. Since uncertainties are inherent in graph data, traditional concepts and algorithms in classic graph theory are not applicable to uncertain graph. Hence, this paper firstly proposes the concepts of \(\alpha \)-connected graph and \(\alpha \)-connectedness index of uncertain graph and shows the computing method. Based on these definitions, this paper gives and verifies the relationship between connectedness index and \(\alpha \)-connectedness index of uncertain graph.

Keywords

Uncertain graph \(\alpha \)-Connectedness index Uncertainty theory 

Notes

Acknowledgements

This work was supported by National Natural Science Foundation of China Grant No. 11501082, Natural Science Foundation of Shandong Province Nos. ZR2015AL016, ZR2016FM37, ZR2015FL006 and ZR2013GL001 and Dezhou soft science research plan project NO.43 (2013).

Compliance with ethical standards

Conflict of interest

All authors have no conflict of interest in this paper.

Research involving human and animal participants

This article does not contain any studies with human participants or animals performed by any of the authors.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  • Xiulian Gao
    • 1
    • 4
    Email author
  • Changyou Guo
    • 2
  • Xiuling Yin
    • 1
  • Xuedou Yu
    • 3
  1. 1.College of Mathematical SciencesDezhou UniversityDezhouChina
  2. 2.School of Information ManagementDezhou UniversityDezhouChina
  3. 3.Department of Science and TechnologyDezhou UniversityDezhouChina
  4. 4.Institute of Mathematics EducationDezhou UniversityDezhouChina

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