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Edge Odd Graceful Labeling for Different Paths using Padavon Sequence

by S. Uma Maheswari
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 81 - Number 12
Year of Publication: 2013
Authors: S. Uma Maheswari
10.5120/14064-2268

S. Uma Maheswari . Edge Odd Graceful Labeling for Different Paths using Padavon Sequence. International Journal of Computer Applications. 81, 12 ( November 2013), 19-23. DOI=10.5120/14064-2268

@article{ 10.5120/14064-2268,
author = { S. Uma Maheswari },
title = { Edge Odd Graceful Labeling for Different Paths using Padavon Sequence },
journal = { International Journal of Computer Applications },
issue_date = { November 2013 },
volume = { 81 },
number = { 12 },
month = { November },
year = { 2013 },
issn = { 0975-8887 },
pages = { 19-23 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume81/number12/14064-2268/ },
doi = { 10.5120/14064-2268 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:55:53.167827+05:30
%A S. Uma Maheswari
%T Edge Odd Graceful Labeling for Different Paths using Padavon Sequence
%J International Journal of Computer Applications
%@ 0975-8887
%V 81
%N 12
%P 19-23
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The even graceful labeling of a graph G with q edges means that there is an injection f : V(G) to { 0,1,1,1,2,…,2q+i/i= 1 to n} such that when each edge uv is assigned the label |f(u) – f(v)| the resulting edge labels are {1,3,5,…,2q-1}. A graph which admits an edge odd graceful labeling is called an edge-odd graceful graph. In this paper, the edge odd gracefulness of paths p1, p2, p3,…, p12 ¬is obtained.

References
  1. R. B. Gnanajothi, Topics in Graph Theory,Ph. D. Thesis, Madurai Kamaraj University, 1991
  2. G. J. Gallian, A dynamic survey of graph labeling, The electronic journal of combinatorics, 16 (2009), #DS6.
  3. S. W. Golomb, How to number a graph in graph theory and computing, R. C. Read, ed. , Academic Press, New York (1972), 23-37.
  4. A. Rosa, On certain valuations of the vertices of a graph, Theory of graphs(International Symposium, Rome), July(1966).
  5. S. Uma Maheswari, Graceful Labeling of the paths using padavon sequence, International Journal of Mathematical Archive-4(4), 013, 66-71.
  6. S. Uma Maheswari, Even Graceful Labeling of the paths using padavon sequence, International Journal of Mathematical Archive-4(10), To appear.
Index Terms

Computer Science
Information Sciences

Keywords

Padavon sequence vertex labeling edge labeling graceful labeling odd graceful labeling edge odd graceful labeling.