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Some Parameters of Restricted Super Line Graphs

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Mathematics and Computing (ICMC 2022)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 415))

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Abstract

The Restricted Super Line Graph of index r,  \(RL_r(G),\) of a graph G has the r-element sets of E(G) as its vertex set and two vertices being adjacent if exactly one edge of one set is adjacent to exactly one edge of the other. In this paper we characterize the complete graph \(RL_r(G)\), totally disconnectedness, graph equations and connectedness of \(RL_2(G)\).

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References

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Acknowledgements

The authors wish to express their gratitude to the referees for their valuable inputs and also to Dr.B. Sooryanarayana for his helpful comments and suggestions.

Author information

Authors and Affiliations

  1. Government First Grade College, Yelahanka, Bangalore, India

    Latha Devi Puli

  2. Bangalore Institute of Technology, Bangalore, India

    K. Manjula

Authors
  1. Latha Devi Puli
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  2. K. Manjula
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Corresponding author

Correspondence to Latha Devi Puli .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    S. Ponnusamy

  3. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  4. Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA

    Bhavani Thuraisingham

  5. Department of Computer Science, Purdue University, West Lafayette, IN, USA

    Christopher W. Clifton

  6. Department of Theoretical and Applied Sciences, University of Insubria, Varese, Italy

    Barbara Carminati

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Puli, L.D., Manjula, K. (2022). Some Parameters of Restricted Super Line Graphs. In: Rushi Kumar, B., Ponnusamy, S., Giri, D., Thuraisingham, B., Clifton, C.W., Carminati, B. (eds) Mathematics and Computing. ICMC 2022. Springer Proceedings in Mathematics & Statistics, vol 415. Springer, Singapore. https://doi.org/10.1007/978-981-19-9307-7_16

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