Graph algorithms and sparsification techniques have emerged as pivotal tools in the analysis and optimisation of complex networked systems. These approaches focus on reducing the number of edges in a ...

In recent years, the Massively Parallel Computation (MPC) model has gained significant attention. However, most of distributed and parallel graph algorithms in the MPC model are designed for static ...

Dijkstra's algorithm has long been the quickest way of finding the shortest possible paths in a network, but researchers have ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

If G is a graph and n a positive integer, then the generalized Sierpiński graph S G n is a fractal-like graph that uses G as a building block. The construction of S G n generalizes the classical ...