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Super Vertex Graceful Graphs

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N. Murugesan, R.Uma. Published in Applied Mathematics.

Super Vertex Graceful Graphs
Communications on Applied Electronics
Year of Publication: 2017
Publisher: Foundation of Computer Science (FCS), NY, USA
Series: Volume 6 Number 9
Authors: N. Murugesan, R.Uma
10.5120/cae2017652560
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N Murugesan and R.Uma. Super Vertex Graceful Graphs. Communications on Applied Electronics 6(9):38-42, April 2017. BibTeX

@article{10.5120/cae2017652560,
	author = {N. Murugesan and R.Uma},
	title = {Super Vertex Graceful Graphs},
	journal = {Communications on Applied Electronics},
	issue_date = {April 2017},
	volume = {6},
	number = {9},
	month = {Apr},
	year = {2017},
	issn = {2394-4714},
	pages = {38-42},
	numpages = {5},
	url = {http://www.caeaccess.org/archives/volume6/number9/721-2017652560},
	doi = {10.5120/cae2017652560},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

For a defined graph labeling, there exists a number of bijective functions for a graph of defined order and size which leads to different graphs. In this paper, a mathematical tool is developed to find the number of super vertex graceful graphs for a defined order “p” and size “q”.

References

  1. Joseph A. Gallian, A Dynamic survey of Graph Labeling, 2008.
  2. Murugesan. N, Uma. R, A Conjecture on Amalgamation of graceful graphs with star graphs, Int.J.Contemp.Math.Sciences, Vol.7, 2012, No.39, 1909-1919.
  3. Murugesan. N, Uma.R, Super vertex gracefulness of complete bipartite graphs, International J.of Math.Sci & Engg. Appls, Vol.5, No.VI (Nov, 2011), PP 215-221.
  4. Murugesan. N, Uma. R, Graceful labeling of some graphs and their subgraphs, Asian Journal of Current Engineering and Maths1:6 Nov – Dec (2012) 367 – 370.
  5. Murugesan. N, Uma.R Fibonacci gracefulness of Pn 2 and PP ΘSQ , International J. of Math. Sci. & Engg. Appls, , Vol. 7 No. IV (July, 2013), pp. 429-437
  6. N.Murugesan, R.Uma A Study on Super Vertex Graceful Graphs International Journal of Computer Applications (0975 – 8887) Vol 95– No. 10, June 2014
  7. N.Murugesan, R.Uma Super vertex Gracefulness of Some Special Graphs IOSR Journal of Mathematics (IOSR-JM) 2319-765X. Volume 11, Issue 3 Vol. V (May - Jun. 2015), PP 07-15
  8. Harary, Graph Theory, Narosa Publishing House, 2001.
  9. A Rosa, On certain valuations of the vertices of a graph, theory Of Graphs (Internet. Sympos., Rome, 1996), Gordon and Breach, Newyork, 1967, pp. 349-355.
  10. Sin – Min – Lee, Elo Leung and Ho Kuen Ng, On Super vertex graceful unicyclic graphs, Czechoslovak mathematical Journal, 59 (134) (2009), 1- 22.
  11. Solairaju. A, Vimala. C, Sasikala. A, Edge – Odd gracefulness of PM SN, for M = 5, 6, 7, 8, International Journal of Computer applications (0975 – 8887), Volume 9- No. 12, November 2010.

Keywords

Order of a graph, size of a graph, graceful graphs, super vertex graceful graphs.