PATH RELATED MEAN CORDIAL GRAPHS

Main Article Content

A. Nellai Murugan

Abstract

Let G = (V, E) be a simple graph. G is said to be a mean cordial graph if  f : V(G)→{0,1,2} such that for each edge uv the induced map f* defined by f*(uv) =   where  denote the least integer which is ≤ x and |ef (0) - ef(1)| ≤ 1 where ef(0) is no.of edges with zero label. ef(1) is no.of edges with one label.

The graph that admits a mean cordial labeling is called a mean cordial graph(MCG).In this paper , we proved that PnʘK1, (Pn+K1) , Pn × Pn,(Pn :C3) ,(Pn: S1) , Pn ×P2 ,Pn +2K1

Z-(Pn) are mean cordial graphs.     

Keywords : Mean cordial labeling, Mean cordial graph.

2000 Mathematics Subject Classification 05C78.

Downloads

Article Details

How to Cite
Murugan, A. N. (2014). PATH RELATED MEAN CORDIAL GRAPHS. Journal of Global Research in Mathematical Archives(JGRMA), 2(3), 74–86. Retrieved from https://jgrma.com/index.php/jgrma/article/view/184
Section
Mathematical Section

References

] Gallian. J.A,A Dynamic Survey of Graph Labeling, The Electronic Journal of Combinotorics 6(2001)#DS6.

] Harary,F., Graph Theory, Addision – Wesley Publishing Company Inc, USA, 1969.

] A.NellaiMurugan, Studies in Graph theory- Some Labeling Problems in Graphs and Related topics, Ph.D Thesis, September 2011.

] A.Nellai Murugan and V.Baby Suganya, Cordial labeling of path related splitted graphs, Indian Journal of Applied Research, ISSN 2249 –555X,Vol.4, Issue 3, Mar. 2014, PP 1-8.

] A.Nellai Murugan and M. Taj Nisha, A study on divisor cordial labelling of star attached paths and cycles, Indian Journal of Research ISSN 2250 –1991,Vol.3, Issue 3, Mar. 2014, PP 12-17.

] A.Nellai Murugan and V.Brinda Devi, A study on path related divisor cordial graphs International Journal of Scientific Research, ISSN 2277–8179,Vol.3, Issue 4, April. 2014, PP 286 - 291.

] A.Nellai Murugan and A Meenakshi Sundari, On Cordial Graphs International Journal of Scientific Research, ISSN 2277–8179,Vol.3, Issue 7 ,July. 2014, PP 54-55.

] A.Nellai Murugan and A Meenakshi Sundari, Results on Cycle related product cordial graphs, International Journal of Innovative Science, Engineering & Technology , ISSN 2348-7968,Vol.I, Issue 5 ,July. 2014, PP 462-467.

] A.Nellai Murugan and P.Iyadurai Selvaraj, Cycle and Armed Cup cordial graphs, International Journal of Innovative Science, Engineering & Technology , ISSN 2348-7968,Vol.I, Issue 5 ,July. 2014, PP 478-485.

] A.Nellai Murugan and G.Esther, Some Results on Mean Cordial Labelling , International Journal of Mathematics Trends and Technology ,ISSN 2231-5373,Volume 11, Number 2,July 2014,PP 97-101.

] A.Nellai Murugan and P. Iyadurai Selvaraj, Path Related Cup Cordial graphs, Indian Journal of Applied Research, ISSN 2249 –555X,Vol.4, Issue 8, August. 2014, PP 433-436.

] A.Nellai Murugan and A Meenakshi Sundari, Path related product cordial graphs, International Journal of Innovation in Science and Mathematics Engineering & Technology , ISSN 2347-9051,Vol 2., Issue 4 ,Augest 2014, PP 381-383