Some New Results on Prime Graphs

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References

[1] J. Gross and J. Yellen, “Graph Theory and Its Applications,’’ CRC Press, Boca Raton, 1999.

[2] D. M. Burton, “Elementary Number Theory,” 2nd Edition, Brown Publishers, New York, 1990.

[3] J. A. Gallian, “A Dynamic Survey of Graph Labeling,” The Electronic Journal of Combinatorics, Vol. 18, 2011.
http://www.combinatorics.org/Surveys/ds6.pdf

[4] A. Tout, A. N. Dabboucy and K. Howalla, “Prime Labeling of Graphs,” National Academy Science Letters, Vol. 11, 1982, pp. 365-368.

[5] H. L. Fu and K. C. Huang, “On Prime Labellings,” Discrete Mathematics, Vol. 127, No. 1-3, 1994, pp. 181-186.
doi:10.1016/0012-365X(92)00477-9

[6] S. M. Lee, I. Wui and J. Yeh, “On the Amalgamation of Prime Graphs,” Bulletin of the Malaysian Mathematical Sciences Society (Second Series), Vol. 11, 1988, pp. 59-67.

[7] T. Deretsky, S. M. Lee and J. Mitchem, “On Vertex Prime Labelings of Graphs,” In: J. Alvi, G. Chartrand, O. Oellerman, A. Schwenk, Eds., Graph Theory, Combinatorics and Applications: Proceedings of the 6th International Conference Theory and Applications of Graphs, Wiley, New York, 1991, pp. 359-369.

[8] S. K. Vaidya and K. K. Kanani, “Prime Labeling for Some Cycle Related Graphs,” Journal of Mathematics Research, Vol. 2, No. 2, 2010, pp. 98-103.
http://ccsenet.org/journal/index.php/jmr/article/view/4423/ 4743

[9] S. K. Vaidya and U. M. Prajapati, “Some Switching Invariant Prime Graphs,” Open Journal of Discrete Mathematics, Vol. 2, No. 1, 2012, pp. 17-20.
doi:10.4236/ojdm.2012.21004

[10] S. K. Vaidya and U. M. Prajapati, “Some Results on Prime and k-Prime Labeling,” Journal of Mathematics Research, Vol. 3, No. 1, 2011, pp. 66-75.
http://ccsenet.org/journal/index.php/jmr/article/download/ 7881/6696

[11] M. A. Seoud and M. Z. Youssef, “On Prime Labeling of Graphs,” Congressus Numerantium, Vol. 141, 1999, pp. 203-215.