We introduce a new algorithm MaxCliqueWeight for identifying a maximum weight clique in a weighted graph, and its variant MaxCliqueDynWeight with dynamically varying bounds. This algorithm uses an ...

In recent years, with the rapid development of technologies such as mobile internet, the internet of things, social networks, and big data processing, various industries have begun to generate vast ...

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 ...

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 ...

Overview: Algorithm selection is an engineering decision: the wrong choice can freeze a system at scale, regardless of ...

If you’ve been making the same commute for a long time, you’ve probably settled on what seems like the best route. But “best” is a slippery concept. Perhaps one day there’s an accident or road closure ...

Algorithms give computers step-by-step instructions to complete tasks accurately.Good algorithms improve software speed, ...