Analysis of balance in the products of conjugate Skew Gain graphs
نویسندگان
1 Research Supervisor Hermann Gundert Central Library, Kannur University, Kerala, India
2 Department of Mathematics, PRNSS College, Mattanur, Kannur University, Kerala, India.
doi
10.30504/jims.2026.547899.1285چکیده
A conjugate skew gain graph is a graph whose edges are oriented and assigned labels—termed edge skew gains—from the multiplicative group $\mathbb{C}^\times$ of nonzero complex numbers, such that reversing the orientation of an edge replaces its label with its complex conjugate. In this article, we define various products of conjugate skew gain graphs such as the cartesian product, the lexicographic product, the strong product, and the tensor product. We characterize the balance in these product graphs in terms of the balance of the constituent conjugate skew gain graphs.
