Cycle with Parallel Chords of Pendant Edge Extension is Graceful

Authors

  • A. Elumalai Department of Mathematics, Valliammai Engineering College, SRM Nagar, Kattankulathur 603203

DOI:

https://doi.org/10.26713/cma.v5i2.246

Keywords:

Graph labeling, Graceful labeling, Cycle with parallel chords, and pendant edge extension of cycle with parallel chords

Abstract

In this paper I have proved that cycle with parallel chords of pendant edge extension is graceful.

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References

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C. Huang, A. Kotzig, A. Rosa, Further results on tree labellings, Util. Math. 210 (1982), 31-48.

K. M. Koh, K. Y. Yap, Graceful numberings of cycles with a P3-chord, Bull. Inst. Math. Acad. Sinica 12 (1985), 41-48.

N. Punnium, N. Pabhapote, On graceful graphs: cycles with a Pk -chord, $k ge 4$, Ars Combin. 23A (1987), 225-228.

A. Rosa, On certain valuations of the vertices of a graph, Theory of Graphs (Internat. Symposium, Rome, July 1966), Gordon and Breach, N.Y.- Dunod Paris (1967), 349-355.

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CITATION

How to Cite

Elumalai, A. (2014). Cycle with Parallel Chords of Pendant Edge Extension is Graceful. Communications in Mathematics and Applications, 5(2), 53–58. https://doi.org/10.26713/cma.v5i2.246

Issue

Section

Research Article