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.

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

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

Vol. 5 No. 2 (2014)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.