Zagreb Indices of the Thorn Jaco Graph

Authors

  • U. Mary Department of Mathematics, Nirmala College For Women, Coimbatore
  • M. Jerlin Seles Department of Mathematics, Nirmala College For Women, Coimbatore
  • R. Jayasree Department of Mathematics, Nirmala College For Women, Coimbatore

DOI:

https://doi.org/10.26713/jims.v8i2.410

Keywords:

Jaco graph, Thorn Jaco graph, Zagreb indices, Vertex invaded graph

Abstract

The first three Zagreb indices of a graph \(G\) denoted, \(M_1(G)\), \(M_2(G)\) and \(M_3(G)\), are well known.\ In this paper we derive recursive formula for these indices for the family of thorn Jaco graphs. The concept of a <em>vertex invaded graph</em>
is also introduced.

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References

J.A. Bondy and U.S.R. Murty, Graph Theory with Applications, Macmillan Press, London (1976).

G. Chartrand and L. Lesniak, Graphs and Digraphs, CRC Press (2000).

G.H. Fath-Tabar, Old and new Zagreb indices of graphs, MATCH Communications in Mathematical and in Computer Chemistry 65 (2011), 79–84.

I. Gutman, Distance of Thorny graphs, Publications de L'Institut Mathématique 63 (77) (1998), 31–36.

F. Harary, Graph Theory, Addison-Wesley Publishing Company, London (1969).

J. Kok, C. Susanth and S.J. Kalayathankal, A study on linear Jaco graphs, Journal of Informatics and Mathematical Sciences 7 (2) (2015), 69–80.

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Published

2016-05-24
CITATION

How to Cite

Mary, U., Seles, M. J., & Jayasree, R. (2016). Zagreb Indices of the Thorn Jaco Graph. Journal of Informatics and Mathematical Sciences, 8(2), 129–135. https://doi.org/10.26713/jims.v8i2.410

Issue

Vol. 8 No. 2 (2016)

Section

Research Articles

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