October 20, 2025

Some New Results in Cubic Graphs

Key Points

New operations on cubic graphs enhance understanding of their degrees, opening avenues for further research.
Results include the introduction of totally irregular, strongly irregular, and strongly totally irregular cubic graphs.
These findings suggest broader applications of cubic graph theory in various mathematical fields.
The research indicates that the new operations can lead to innovative discoveries within graph structures.

Abstract

In this paper, two new operations on cubic graphs, namely, maximal product and residue product were presented, and some results concerning their degrees were introduced. Likewise, we presented certain types of cubic graphs, including totally irregular, strongly irregular, and strongly totally irregular cubic graphs, which are described for the first time here.

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Cite This Study

Farshid Mofidnakhaei (Mon,) studied this question.

synapsesocial.com/papers/68f5c338e2d8b12842645d0b https://doi.org/https://doi.org/10.22457/apam.v29n1a02928

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