Published March 5, 2026
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Product Cube Graphs over Finite Commutative Rings: Structural Properties
Description
We define the Product Cube Graph PC(R) over a finite commutative ring R as
a graph on nonzero elements and adjacency occurs when their product is a cube in
R. We investigate its structural properties, including connectivity, diameter, clique
structure, and bipartiteness. For finite fields F, PC(F) is completely characterized.
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- Journal article: https://www.ijert.org/product-cube-graphs-over-finite-commutative-rings-structural-properties (URL)