For 0 ≤ α ≤ 1, Nikiforov proposed to study the spectral properties of the family of matrices Aα(G) = αD(G)+(1−α)A(G) of a graph G, where D(G) is the degree diagonal matrix and A(G) is the adjacency ...

This Python-based project visualizes two essential graph theory algorithms: Dijkstra's Shortest Path and the Steiner Tree. It is designed for interactive learning and intuitive understanding, making ...

The Erdős–Pósa property forms a pivotal concept in modern graph theory by establishing a profound duality between the problems of packing and covering cycles or other substructures. At its core, this ...