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Orthogonal Double Covers of Circulant Graphs by Corona Product of Certain Infinite Graph Classes

Author

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  • M. Higazy

    (Taif University
    Menoufia University)

Abstract

The existence of an orthogonal labelling of a graph G with respect to a certain group implies the existence of the cyclic orthogonal double cover of the Circulant graphs on that group. In this article, a technique for orthogonal labelling is produced for the corona product of two finite or infinite graph classes such as path, cycle and star graphs. In addition, the nonexistence of the orthogonal L-labelling is proved for the corona product of K2 and an infinite cycle.

Suggested Citation

  • M. Higazy, 2020. "Orthogonal Double Covers of Circulant Graphs by Corona Product of Certain Infinite Graph Classes," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1573-1585, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0482-9
    DOI: 10.1007/s13226-020-0482-9
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