Call for Paper
CAE solicits original research papers for the July 2023 Edition. Last date of manuscript submission is June 30, 2023.
Super Vertex Graceful Graphs
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
- Joseph A. Gallian, A Dynamic survey of Graph Labeling, 2008.
- 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.
- 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.
- 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.
- 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
- N.Murugesan, R.Uma A Study on Super Vertex Graceful Graphs International Journal of Computer Applications (0975 – 8887) Vol 95– No. 10, June 2014
- 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
- Harary, Graph Theory, Narosa Publishing House, 2001.
- 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.
- Sin – Min – Lee, Elo Leung and Ho Kuen Ng, On Super vertex graceful unicyclic graphs, Czechoslovak mathematical Journal, 59 (134) (2009), 1- 22.
- 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.