Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON FIBONACCI PRODUCT CORDIAL LABELING IN CONTEXT OF VERTEX SWITCHING OF GRAPHS

Authors

  • J. T. Gondalia

Keywords:

Fibonacci product cordial graph, Fibonacci product cordial labeling, Ring sum of graphs

DOI:

https://doi.org/10.17654/0974165822049

Abstract

An injective function f from the vertex set V of a graph G to the set where is the jth Fibonacci number is said to be a Fibonacci cordial labeling if the induced function from the edge set E of graph G to the set defined by satisfies the condition where is the number of edges with label 0 and is the number of edges with label 1.

Received: September 3, 2022
Accepted: October 15, 2022

References

I. Cahit, Cordial graphs: a weaker version of graceful and harmonious graphs, Ars. Combin. 23 (1987), 201-207.

J. A. Gallian, A dynamic survey of graph labeling, Electronic J. Combin. 5 (1998) Dynamic Survey 6, 43 pp.

J. Gondalia and R. Amit, Multiply divisor cordial labeling in context of ring sum of graphs, Advances in Mathematics Scientific Journal 9 (2020), 9037-9044. 10.37418/amsj.9.11.8.

J. L. Gross, J. Yellen and M. Anderson, Graph Theory and its Applications, Chapman and Hall/CRC, 2018.

A. Rokad, Fibonacci cordial labeling of some special graphs, Oriental Journal of Computer Science and Technology 10(4) (2017), 824-828.

R. Sridevi, K. Nagarajan, A. Nellaimurugan and S. Navaneethakrishnan, Fibonacci divisor cordial graphs, International Journal of Mathematics and Soft Computing 3(3) (2013), 33-39.

R. Sridevi, S. Navaneethakrishnan and K. Nagarajan, Super Fibonacci graceful labeling, International J. Math. Combin. 3 (2010), 22-40.

Tessymol Abraham and Shiny Jose, Fibonacci product cordial graphs, Journal of Emerging Technologies and Innovative Research 6(1) (2019), 58-63.

S. Vaidya, Fibonacci and super Fibonacci graceful labeling of some graphs, Studies in Mathematical Sciences 2(2) (2011), 24-35.

Published

2022-11-14

Issue

Section

Articles

How to Cite

ON FIBONACCI PRODUCT CORDIAL LABELING IN CONTEXT OF VERTEX SWITCHING OF GRAPHS. (2022). Advances and Applications in Discrete Mathematics, 35, 25-35. https://doi.org/10.17654/0974165822049

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