1Department of Chemistry, Faculty of Science, Falavarjan Branch, Islamic Azad University, Iran, E-mail: sadri@iaufala.ac.ir
2Adib Mazandaran Institute of Higher Education, Sari, Iran, E-mail: rashmanlou.1987@gmail.com
3Department of Physics, Sari Branch, Islamic Azad University, Sari, Iran, E-mail: farshid.mofidnakhaei@gmail.com
*Corresponding author E-mail: rashmanlou.1987@gmail.com
Online Published on 28 June, 2023.
Cubic graph can deal with the uncertainly associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results. Likewise, cubic graphs are very useful tools for the study of different domains of computer science such as networking, capturing the image, clustering, and also other issues like bioscience, medical science, and traffic plan. Operations are conveniently used in many combinatorial applications; therefore, in this paper, three new operations on cubic graphs, namely, maximal product, rejection, residue product were presented, and some results concerning their degrees were introduced. Different examples are provided to evaluate the validity of the new definitions.
Cubic set, Cubic graph, Maximal product, Residue product
