A new algorithm efficiently solves the graph isomorphism problem, which has puzzled computer scientists for decades.

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

Combined with algorithms that can handle such graphs it’s a great way to not only make the basic structure of a network clear, but also to model structures and systems.

Graph algorithms and network analysis form the backbone of modern computational techniques used to decode the complex structures and dynamic behaviours exhibited by diverse real-world networks.

“The new algorithm is a remarkable tour de force,” said Giuseppe Italiano, a computer scientist at Luiss University and a co-author of the 1996 paper describing what is now the second-fastest ...

The problem of path optimization and k disjoint pairs are important in survivable, QoS-aware communication network and SDN controlled networks. While the problem of optimally solving for maximally ...

This is a preview. Log in through your library . Abstract We obtain a sharp result that for any even 𝑛 ≥ 34, every {𝐷𝑛, 𝐷𝑛+1}-regular graph of order 𝑛 contains [𝑛/4] disjoint perfect matchings, ...