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Edge-Odd Gracefulness of C3 Θ PN and C3 Θ 2PN

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International Journal of Computer Applications
© 2010 by IJCA Journal
Number 9 - Article 1
Year of Publication: 2010
Authors:
A.Solairaju
C. Vimala
A.Sasikala
10.5120/1514-1681

A.Solairaju and Vimala C A.Sasikala. Article:Edge-Odd Gracefulness of C3 PN and C3 2PN. International Journal of Computer Applications 10(9):1–3, November 2010. Published By Foundation of Computer Science. BibTeX

@article{key:article,
	author = {A.Solairaju and C. Vimala ands A.Sasikala},
	title = {Article:Edge-Odd Gracefulness of C3 PN and C3 2PN},
	journal = {International Journal of Computer Applications},
	year = {2010},
	volume = {10},
	number = {9},
	pages = {1--3},
	month = {November},
	note = {Published By Foundation of Computer Science}
}

Abstract

A (p, q) connected graph is edge-odd graceful graph if there exists an injective map f: E(G) → {1, 3, …, 2q-1} so that induced map f+: V(G) → {0, 1,2, 3, …, (2k-1)}defined by f+(x) º f(x, y) (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 C3  Pn and C3  2Pn is obtained.

Reference

  • A.Solairaju, A.Sasikala, C.Vimala, Gracefulness of a spanning tree of the graph of product of Pm and Cn, The Global Journal of Pure and Applied Mathematics of Mathematical Sciences, Vol. 1, No-2 (July-Dec 2008): pp 133-136
  • A.Solairaju and K.Chitra, Edge-odd graceful labeling of some graphs “ Electronics Notes in Discrete Mathematics Volume 33,April 2009, Pages 15 - 20
  • A.Solairaju, C.Vimala, A.Sasikala, Gracefulness of a spanning tree of the graph of Cartesian product of Sm and Sn, The Global Journal of Pure and Applied Mathematics of Mathematical Sciences, Vol. 1, No-2 (July-Dec 2008): pp 117-120
  • A.Solairaju, A.Sasikala, C.Vimala, Edge-odd Gracefulness of a spanning tree of Cartesian product of P2 and Cn ,Pacific-Asian Journal of Mathematics, Vol .3, No. 1-2. (Jan-Dec. 2009) pp:39-42
  • A.Solairaju, C. Vimala, A. Sasikala, Edge-Odd Gracefulness of Cm  Sn for n is even (communicated to Serial Publications)