Odd Fibonacci Stolarsky-3 Mean Labeling of Some Special Graphs

Authors

  • M Sree Vidya Research Scholar, Sree Ayyappa College for Women, Chunkankadai
  • S.S Sandhya Assistant Professor, Department of Mathematics, Sree Ayyappa College for Women, Chunkankadai

DOI:

https://doi.org/10.23755/rm.v44i0.916

Keywords:

Stolarsky-3 Mean Labeling of Graphs, Odd Fibonacci Stolarsky-3 Mean Labeling of Graphs, Bull graph, Wheel graph, (m, n)-tadpole graph, Fire Cracker graph, Pan graph, Gear graph, Star graph.

Abstract

Let G be a graph with p vertices and q edges and an injective function  where each  is a odd Fibonacci number and the induced edge labeling  are defined by

and all these edge labeling are distinct is called Odd Fibonacci Stolarsky-3 Mean Labeling. A graph which admits a Odd Fibonacci Stolarsky-3 Mean Labeling is called a Odd Fibonacci Stolarsky-3 mean graph.

References

Galian, J. A. (2019) A Dynamic Survey of Graph Labeling. The Electronic Journal of combinatories.

Harary, F. (1988) Graph Theory. Narosa Publishing House Reading, New Delhi.

S. Somasundaram and R. Ponraj, “Mean Labeling of graphs”, National Academy of Science Letters vol.26, p.210-213.

S. S. Sandhya, S. Somasundaram, S. Kavitha, Stolarsky 3 Mean Labeling of Graphs

Global Journal of pure and Applied Mathematics, Vol.14, 2018, no.14, pp.39 - 47.

K. Thirugnanasambandam, G. Chitra, Y. Vishnupriya, Prime Odd Mean Labeling of Some Special Graphs, Journal of Emerging Technologies and Innovative Research (JETIR), volume 5, Issue 6, 2018 JETIR June 2018.

Sree Vidya. M & Sandhya, S.S 2020, Degree Splitting of Stolarsky-3 Mean Labeling of graphs, International Journal of Computer Science, ISSN 2348-6600, vol.8, no.2, pp. 2413 – 2420.

Sree Vidya. M & Sandhya, S.S 2022, Decomposition of Stolarsky-3 Mean Labeling of Graphs, International Journal for Innovative Engineering Research, volume, Issue 1, pp. 08-12

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Published

2022-12-11

Issue

Vol. 44 (2022): Special Issue: Recent Trends in Mathematics and its Applications

Section

Volume 45-2023

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