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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.39 no.2 Antofagasta abr. 2020 


Restricted triangular difference mean graphs

1Govindammal Aditanar College for Women, Dept. of Mathematics, Research Centre, Tiruchendur, TN, India. e-mail:

2Manonmaniam Sundaranar University, Research Scholar, Regn. No.12208, Tirunelveli, TN, India e-mail:

3Government Arts College (Autonomous), Dept. of Mathematics, Salem, TN, India. e-mail:


Let G = (V,E) be a graph with p vertices and q edges. Consider an injection f : V (G) → {1, 2, 3, ..., pq}. Define f∗ : E(G) → {T 1 , T 2 , T 3 , ..., T q }, where T q is the q th triangular number such that f∗(e) = for all edges e = uv. If f∗(E(G)) is a sequence of consecutive triangular numbers T 1 , T 2 , T 3 , ..., T q , then the function f is said to be restricted triangular difference mean. A graph that admits restricted triangular difference mean labeling is called restricted triangular difference mean graph. In this paper, we investigate restricted triangular difference mean behaviour of some standard graph.

Keywords: Restricted triangular difference mean labeling

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[1] F. Harary,Graph theory. Reading, MA: Addison-Wesley, 1972. [ Links ]

[2] J. Gallian, “A dynamic survey of graph labeling”, 22th ed. The electronics journal of combinatorics, vol. # DS6, p. 535, 2019, doi: 10.37236/27 [ Links ]

[3] P. Jeyanthi, M. Selvi, and D. Ramya, “Triangular difference mean graphs”, International journal of mathematical combinatorics , to appear. [ Links ]

Received: January 30, 2019; Accepted: November 30, 2019

Creative Commons License This is an open-access article distributed under the terms of the Creative Commons Attribution License