Semigroups of transformations and endomorphisms have emerged as powerful algebraic frameworks to elucidate the underlying structures of graphs. By harnessing the principles of semigroup theory ...

Abstract Let Kn be a complete graph with n vertices, Ck denote a cycle of length k, and Sk denote a star with k edges. If k = 3, then we call C3 a triangle and S3 a claw. In this paper, we show that ...

Triangle counting stands as a fundamental task in graph theory and network science, offering critical insights into the structural properties of complex systems.