Determination of a connectivity-metrics for graphs representative of networks of interest. A graph that represents a network of interest is accessed. The graph includes nodes representing points in the network of interest, and edges corresponding to the nodes. Bit-vectors are generated corresponding to the nodes and/or edges, wherein individual bits in the bit-vectors respectively provide a logical indication of connectedness. The connectivity-metric is then determined by applying a logical bit operation to the plurality of bit-vectors. Examples of connectivity metrics include a connected components, shortest paths, betweenness, clustering, and tree-based determinations.