ON FIBONACCI PRODUCT CORDIAL LABELING IN CONTEXT OF VERTEX SWITCHING OF GRAPHS
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.
Fibonacci product cordial graph, Fibonacci product cordial labeling, Ring sum of graphs
Received: September 3, 2022; Accepted: October 15, 2022; Published: November 14, 2022
How to cite this article: J. T. Gondalia, On Fibonacci product cordial labeling in context of vertex switching of graphs, Advances and Applications in Discrete Mathematics 35 (2022), 25-35. http://dx.doi.org/10.17654/0974165822049
References:[1] I. Cahit, Cordial graphs: a weaker version of graceful and harmonious graphs, Ars. Combin. 23 (1987), 201-207.[2] J. A. Gallian, A dynamic survey of graph labeling, Electronic J. Combin. 5 (1998) Dynamic Survey 6, 43 pp.[3] 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.[4] J. L. Gross, J. Yellen and M. Anderson, Graph Theory and its Applications, Chapman and Hall/CRC, 2018.[5] A. Rokad, Fibonacci cordial labeling of some special graphs, Oriental Journal of Computer Science and Technology 10(4) (2017), 824-828.[6] 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.[7] R. Sridevi, S. Navaneethakrishnan and K. Nagarajan, Super Fibonacci graceful labeling, International J. Math. Combin. 3 (2010), 22-40.[8] Tessymol Abraham and Shiny Jose, Fibonacci product cordial graphs, Journal of Emerging Technologies and Innovative Research 6(1) (2019), 58-63.[9] S. Vaidya, Fibonacci and super Fibonacci graceful labeling of some graphs, Studies in Mathematical Sciences 2(2) (2011), 24-35.