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When the line graphs of the unit, unitary and total graphs are planar and outerplanar

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Abstract

In this paper, we investigate when the unit, unitary and total graphs have planar line graph, and also we study the case when these line graphs are ring graph or outerplanar.

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Acknowledgments

The authors are deeply grateful to the referees for careful reading of the manuscript and helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Neyshabur, P.O. Box 91136-899, Neyshabur, Iran

    Mojgan Afkhami

  2. Department of Mathematics, Kosar University of Bojnurd, P.O. Box 9415615458, Bojnurd, Iran

    Zahra Barati

  3. Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran

    Kazem Khashyarmanesh

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  1. Mojgan Afkhami
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  2. Zahra Barati
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  3. Kazem Khashyarmanesh
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Correspondence to Kazem Khashyarmanesh.

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Afkhami, M., Barati, Z. & Khashyarmanesh, K. When the line graphs of the unit, unitary and total graphs are planar and outerplanar. Beitr Algebra Geom 56, 479–490 (2015). https://doi.org/10.1007/s13366-014-0194-6

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  • DOI: https://doi.org/10.1007/s13366-014-0194-6

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