alexa Square Graceful Labeling of Some Graphs
ISSN ONLINE(2319-8753)PRINT(2347-6710)

International Journal of Innovative Research in Science, Engineering and Technology
Open Access

Like us on: https://twitter.com/ijirset_r
OMICS International organises 3000+ Global Conferenceseries Events every year across USA, Europe & Asia with support from 1000 more scientific Societies and Publishes 700+ Open Access Journals which contains over 50000 eminent personalities, reputed scientists as editorial board members.

Open Access Journals gaining more Readers and Citations

700 Journals and 15,000,000 Readers Each Journal is getting 25,000+ Readers

This Readership is 10 times more when compared to other Subscription Journals (Source: Google Analytics)

Research Article

Square Graceful Labeling of Some Graphs

K.Murugan*
Assistant Professor, Department of Mathematics, The M.D.T. Hindu College, Tirunelveli, Tamilnadu, India
Related article at Pubmed, Scholar Google
 

Abstract

A 𝑝. 𝑞 graph G = 𝑉, 𝐸 is said to be a square graceful graph ifthere exists an injective function f: V 𝐺 → 0,1,2,3, … , 𝑞2 such that the induced mapping 𝑓𝑝 : E 𝐺 → 1,4,9, … , 𝑞2 defined by 𝑓𝑝 𝑢𝑣 = 𝑓 𝑢 − 𝑓 𝑣 is an injection. The function f is called a square graceful labeling of G. In this paper the square graceful labeling of the caterpillar S 𝑋1, 𝑋2, … , 𝑋𝑛 , the graphs 𝑃𝑛 −1 1,2, … 𝑛 ,m𝐾1,𝑛 ∪ 𝑠𝐾1,𝑡 , 𝐾1,𝑖 , 𝑛𝑖 =1 𝑃𝑛 ⨀𝐾1 − 𝑒,H graph and some other graphsare studied. A new parameter called star square graceful deficiency number of a graph is defined and the star square graceful deficiency number of the cycle 𝐶3 is determined. Two new definitions namely, odd square graceful labeling and even square graceful labeling of a graph are defined with example.

Keywords

Share This Page

Additional Info

Loading
Loading Please wait..
Peer Reviewed Journals
 
Make the best use of Scientific Research and information from our 700 + peer reviewed, Open Access Journals
International Conferences 2017-18
 
Meet Inspiring Speakers and Experts at our 3000+ Global Annual Meetings

Contact Us

 
© 2008-2017 OMICS International - Open Access Publisher. Best viewed in Mozilla Firefox | Google Chrome | Above IE 7.0 version
adwords