Last November, Coudron and two colleagues took a big step toward resolving that long-standing problem: They proved that no algorithm in a broad and natural class of fast quantum algorithms can find a ...

Microsoft has made its Space Partition Tree And Graph (SPTAG) algorithm, used in its own Bing search engine, available to all as an open-source GitHub project. The algorithm uses vector search and ...

Short algorithm, long-range consequences Date: March 2, 2013 Source: Massachusetts Institute of Technology Summary: A new technique for solving 'graph Laplacians' is drastically simpler than its ...

The new algorithm checks planarity in a number of steps proportional to the cube of the logarithm of the number of nodes in the graph — an exponential improvement. Holm and Rotenberg, a computer ...

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 ...