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The Maximal Total Irregularity of Bicyclic Graphs

Author

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  • Lihua You
  • Jieshan Yang
  • Yingxue Zhu
  • Zhifu You

Abstract

In 2012, Abdo and Dimitrov defined the total irregularity of a graph as , where denotes the vertex degree of a vertex . In this paper, we investigate the total irregularity of bicyclic graphs and characterize the graph with the maximal total irregularity among all bicyclic graphs on vertices.

Suggested Citation

  • Lihua You & Jieshan Yang & Yingxue Zhu & Zhifu You, 2014. "The Maximal Total Irregularity of Bicyclic Graphs," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jnljam:785084
    DOI: 10.1155/2014/785084
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    Cited by:

    1. Asad Khan & Ghulam Haidar & Naeem Abbas & Murad Ul Islam Khan & Azmat Ullah Khan Niazi & Asad Ul Islam Khan, 2023. "Metric Dimensions of Bicyclic Graphs," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
    2. Yousaf, Shamaila & Bhatti, Akhlaq Ahmad & Ali, Akbar, 2022. "On total irregularity index of trees with given number of segments or branching vertices," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    3. Ashrafi, Ali Reza & Ghalavand, Ali, 2020. "Note on non-regular graphs with minimal total irregularity," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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