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An Investigation on the Structure of Super Strongly Perfect Graphs on Trees

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Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 236))

Abstract

A graph G is super strongly perfect graph if every induced subgraph H of G possesses a minimal dominating set that meets all the maximal cliques of H. In this paper, we have characterized the super strongly perfect graphs on trees. We have presented the results on trees in terms of domination and codomination numbers \({\upgamma }\) and \(\overline{\upgamma }\). Also, we have given the relationship between diameter, domination, and codomination numbers in trees.

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Author information

Authors and Affiliations

  1. Research Scholar, Department of Mathematics, Sathyabama University, Chennai, 600119, India

    R. Mary Jeya Jothi

  2. Assistant Professor, Department of Mathematics, Sathyabama University, Chennai, 600119, India

    A. Amutha

Authors
  1. R. Mary Jeya Jothi
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  2. A. Amutha
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Corresponding author

Correspondence to R. Mary Jeya Jothi .

Editor information

Editors and Affiliations

  1. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    B. V. Babu

  2. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  4. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

  5. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  6. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Kanad Ray

  7. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Umesh Gupta

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Mary Jeya Jothi, R., Amutha, A. (2014). An Investigation on the Structure of Super Strongly Perfect Graphs on Trees. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_31

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  • DOI: https://doi.org/10.1007/978-81-322-1602-5_31

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1601-8

  • Online ISBN: 978-81-322-1602-5

  • eBook Packages: EngineeringEngineering (R0)

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