Oblong sum labeling of some special graphs

• Authors: M. Prema , K. Murugan
• Languages of publication: EN

Abstracts

EN

Numbers of the form n(n+1) are called oblong numbers. Let O_n be the n^th oblong number. An oblong sum labeling of a graph G =(V,E) with p vertices and q edges is a one to one function f : V(G)→{0,2,4,6,8,…} that induces a bijection f^*: E(G)→{O_1,O_2,O_3,…,O_q } of the edges of G defined by f^* (uv)=f(u)+f(v) for all e = uv ∈ E(G). The graph that admits oblong sum labeling is called oblong sum graph. In this paper, oblong sum labeling of some special graphs is studied.

Keywords

EN

Star; oblong numbers; oblong sum labeling

Discipline

• PHYSICS: PHYSICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2018
• Volume: 98
• Pages: 12-22

Contributors

author

M. Prema

• P.G. & Research Department of Mathematics, The M.D.T. Hindu College, Tirunelveli Affiliated to Manonmaniam Sundaranar University Abishekapatti, Tiruneveli, Tamil Nadu 627012, India

author

K. Murugan

• P.G. & Research Department of Mathematics, The M.D.T. Hindu College, Tirunelveli Affiliated to Manonmaniam Sundaranar University Abishekapatti, Tiruneveli, Tamil Nadu 627012, India

References

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• Document Type: article