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.
Views: 566Downloads: 293

Downloads

Download data is not yet available.

References

R. Bodendiek, H. Schumacher, H. Wegner, Uber eine spezielle Klasse grozioser Eulerscher Graphen, Mitt. Math. Gesellsch, Hamburg 10 (1975), 241-248.

C. Delorme, M. Maheo, H. Thrillier, K. M. Koh, H. K. Teo, Cycles with a chord are graceful, J. Graph Theory 4 (1980), 409-415.

J. A. Gallian, A dynamic survey of graph labeling, Electronic J. Combin. (Nov. 2011), #DS6.

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.

Downloads

Issue

Vol. 5 No. 2 (2014)

Section

Research Article

License

Creative Commons Licence 4.0 by

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