Further Results on Sum *Number and Mod Sum* Number of Graphs

Authors

  • RK Samal Department of Mathematics, OPS Mohavidyalaya, Hindol Road, Dhenkanal, Odisha, India
  • D Mishra Department of Mathematics, C.V. Raman College of Engineering, Bhubaneswar, Odisha, India

DOI:

https://doi.org/10.26438/ijcse/v6i8.1519

Keywords:

Sum* graphs, Sum* number, Mod sum* graphs and Mod, sum* number

Abstract

In this paper we establish that the graphs K_n-E(K_r ), K_(n ,n) for n ≥2, K_(n ,n)-E(〖nK〗_2 ) for n ≥2, P_n⨀K_1 for n ≥2 and C_n⨀K_1 for n ≥4 possesses sum* and modsum* labelings and find their sum * and mod sum* numbers.

References

M. Sutton, “Sumable Graphs Labellings and Their Applications”, Ph. D. Thesis, Department of Computer Science, The University of Newcastle, 2001.

F.Harary, “Graph Theory”, Addison-Wesley, Reading, MA, 1969.

F. Harary, “Sum Graphs and Difference Graphs”, Congressus Numerantium , Vol. 72 , pp. 101 - 108, 1990.

J. Bolland, R. Laskar, C. Turner, G. Domke, “ On Mod Sum Graphs” , Congressus Numerantium, Vol. 70, pp.131-135, 1990.

W. Dou, J. Gao, “The (Mod, Integral) Sum Numbers of Fans and K_(n,n)-E(〖nK〗_2 )”, Discrete Mathematics, Vol. 306, pp.2655-2669, 2006.

H.Wang, P. Li, “Some Results on Exclusive Sum Graphs”,

J. Appl. Math Comput, Vol. 34, pp. 343-351, 2010.

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Published

2018-08-31
CITATION
DOI: 10.26438/ijcse/v6i8.1519
Published: 2018-08-31

How to Cite

[1]
R. K. Samal and D. Mishra, “Further Results on Sum *Number and Mod Sum* Number of Graphs”, Int. J. Comp. Sci. Eng., vol. 6, no. 8, pp. 15–19, Aug. 2018.

Issue

Vol. 6 No. 8 (2018): IJCSE August Edition

Section

Research Article

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