International Research Journal of Commerce , Arts and Science

 ( Online- ISSN 2319 - 9202 )     New DOI : 10.32804/CASIRJ

Impact Factor* - 6.2311


**Need Help in Content editing, Data Analysis.

Research Gateway

Adv For Editing Content

   No of Download : 68    Submit Your Rating     Cite This   Download        Certificate

REVERSE SUPER EDGE MAGIC LABELLING OF A SPECIAL GRAPH

    1 Author(s):  DR. N. S. HUNGUND

Vol -  14, Issue- 4 ,         Page(s) : 32 - 36  (2023 ) DOI : https://doi.org/10.32804/CASIRJ

Abstract

A (p,q)–graph G is super edge-magic if there exists a bijection f: VÈE  {1, 2,..., p+q} such that f(uv) + f(u) + f(v) = c(f) is a constant for any edge uvE and f(v)={1, 2, ..., p}. If such bijection f exists, then f is super edge- magic labeling of G and the minimum of all constants c(f), where the minimum is taken over all super edge-magic labelings, is called super edge-magic strength sems(G) of G. Again a (p, q) - graph G is reverse super edge-magic if there exists a bijection g: VÈE  {1, 2, ..., p+q} such that g(uv) – [g(u) + g(v)] = c-1(g) is a constant for every edge uv of G.

[1] D. G. Akka and N. S. Hungund, The reverse super edge-magic strength of some new families of graphs, Review Bulletin of the Calcutta Mathematical society, Vol. 18 No 1 (Dec 2010).
[2] H. Enomoto, A. I. Llado′, T. Nakamigawa and R. Ringel, Super edge-magic graphs, SUTJ Math., Vol. 34(2) 1998, 105-109.

*Contents are provided by Authors of articles. Please contact us if you having any query.






Bank Details