An algorithm that runs in time proportional to a polynomial function of the size of the input, considered efficient for solving problems. Bipartite Graph: A graph whose vertices can be divided ...

graphs, sets; relevant algorithms and their worst and average case analyses; fast transforms; polynomial, integer, and matrix algorithms; NP-completeness.

Graphs are everywhere ... mathematician László Babai made a breakthrough by proposing an algorithm that runs in "quasi-polynomial time." This comes quite close to the "polynomial-time" benchmark ...