Since the 1970s, algorithms have been able to test graph isomorphism, but in exponential time. This means that the increasing complexity of the graphs increased the algorithm's running time ...

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 ...

These tweaks shifted the runtime of the algorithm from a multiple m^2 (where m is the number of nodes in the network) to a multiple of m^1.33 in 2004, but then progress stalled. RELATED STORIES ...

M.Sc. Andreas Grigorjew defends his doctoral thesis "Algorithms and Graph Structures for Splitting Network Flows, in Theory and Practice" on Wednesday the 19th of February 2025 at 13 o'clock in the ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...