Techniques for determining connected components of a graph via incremental graph analysis algorithms are provided. In one example, a computer-implemented method comprises analyzing, by a system operatively coupled to a processor, a first differential value representing an initial incremental difference of elements between selected initial elements of an initial vector and selected input elements of an input vector associated with a graph. The method further comprises recurringly analyzing, by the system, a second differential value representing a subsequent incremental difference of elements between selected updated elements of an updated initial vector and selected additional elements of another input vector associated with the graph until the second differential value is zero.