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Edge-Odd Graceful Graphs Related to Ladder and Complete Graph with Four Vertices
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 105 - Number 1 |
| Year of Publication: 2014 |
| Authors: A.solairaju, D. Senthil Kumar |
10.5120/18344-9460
|
A.solairaju, D. Senthil Kumar . Edge-Odd Graceful Graphs Related to Ladder and Complete Graph with Four Vertices. International Journal of Computer Applications. 105, 1 ( November 2014), 33-35. DOI=10.5120/18344-9460
Abstract
A (p, q) connected graph is edge-odd graceful graph if there exists an injective map f : E(G) ? {1, 3, 5,…,2q-1} so that induced map f+:V(G) ? [0, 1, 2, 3, …, (2k-1)] defined by f+(x) = ?f (xy) (mod 2k), where the vertex x is incident with other vertex y and k = max {p, q} makes all the edges distinct and odd. In this article, the edge-odd gracefulness of ( P2 ? Pn) ? Pn [n copies of doors]
References
- A. Solairaju and K. Chitra, "New classes of graceful grphs by merging a finite number of C4, Acta Ciencia Indica, Vol. XXXIV, No. 2, 959, 2008.
- A. Solairaju and K. Chitra, "Edge-odd Graceful Lebeling of some Graphs", Electronics Notes in Discrete Mathematics, 33, April 2009, 15-20.
- A. Solairaju, A. Sasikumar, C. Vimala, "Gracefulness of a Spanning Tree of The Graph of Product of Pm and Cn", The Global Journal of Pure and Applied of Mathematics of Mathematical Science, 1, No-2 (July – Dec 2008a), 133-136.
- A. Solairaju, C. Vimala, A. Sasikala, "Gracefulness of a Spanning Tree of the Graph of Cartesian Product of Sm and Sn ", The Gobal Journal of pure and Applied Mathematics of Mathematical Sciences, 1, No-2 (July- Dec 2008b), 117-120.
- A. Solairaju, A. Sasikala, C. Vimala, "Edge-odd Gracefulness of a Spanning Tree of Cartesian Product of Pm and Cn ", Pacific-Asian Journal of Mathematics, 3,No. 1-2. (Jan-Dec. 2009), 39 - 42.
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