The first line of the input contains a positive integer n, the number of vertices in the graph, in the range 1 to 1000. The next lines represents the Adjacency matrix representation of the given graph ...

An adjacency matrix is a two-dimensional array that stores the edges between two vertices as boolean values. The rows and columns of the matrix represent the vertices of the graph. Let's look at an ...

Abstract: Computing the product of the (binary) adjacency matrix of a large graph with a real-valued vector is an important operation that lies at the heart of various graph analysis tasks, such as ...

Graphs and networks are powerful tools for representing connections or relationships between objects or people. They belong to a branch of mathematics called graph theory which is quite distinct from ...

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 ...

Abstract: Counting the number of triangles is an important task in the computation of several network-related metrics such as transitivity ratio, link recommendation, near-clique subgraph detection, ...