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On Beta Combination Labeling Graphs
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 79 - Number 13 |
| Year of Publication: 2013 |
| Authors: T. Tharmaraj, P. B. Sarasija |
10.5120/13802-1807
|
T. Tharmaraj, P. B. Sarasija . On Beta Combination Labeling Graphs. International Journal of Computer Applications. 79, 13 ( October 2013), 26-29. DOI=10.5120/13802-1807
Abstract
Let G(V,E) be a graph with p vertices and q edges. A graph G(p,q) is said to be a Beta combination graph if there exist a bijection f: V(G) ? {1,2 …. , p } such that the induced function Bf: E(G)?N, N is a natural number, given by Bf (uv)= ,every edges uv ? G and are all distinct and the function f is called the Beta combination labeling of G [8]. In this paper, we prove quadrilateral snake Qn,double triangular snake , alternate triangular snake A(Tn), alternate quadrilateral snake A(Qn), helm Hn ,the gear graph,Comb Pn?K1 ,the graph Cn?K1 and the diamond graph are the Beta combination graphs.
References
- B. D. Acharya and S. M. Hegde,Arithmetic graphs,J. Graph Theory,14(3)(1990),275-299.
- L. Beineke and S. M. Hegde,Stronly multiplicative graphs,Discuss. Math. Graph Theory, 21(2001),63-75.
- D. M. Burton,Elementary Number Theory,Second Edition,Wm. C. Brown company Publishers,1980.
- F. Harary, Graph Theory,Addison-Wesley,Reading,Massachusetts,1972.
- S. M. Hegde and Sudhakar Shetty,Combinatorial Labelings of Graphs, Applied Mathematics E-Notes, 6(2006),251-258.
- J. A. Gallian,A dynamic survey of graph labeling,The Electronic journal of combinatorics,5(2002),# DS6,1-144.
- S. S. Sandhya , S. Somasundaram , R. Ponraj , Harmonic Mean Labeling of Some Cycle Related Graphs , Int. J. of Math. Analysis, Vol. 6, 2012, no. 40, 1997-2005.
- T. TharmaRaj , P. B. Sarasija , Betacombination Graphs , In. Journal of Computer Applications , Vol. 76 , No. 14 , 2013.
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