The graph-navigability problem concerns how one can find as short paths as possible between a pair of vertices, given … an incomplete picture of a graph. We study the navigability of graphs where the vertices are tagged by a number (between …

In this paper, we investigate the effects of degree correlation on the controllability of undirected networks with …-degree pinning, some relevance factors on controllability such as the control gain and the number of pinned nodes are discussed in … detail. It is found that disassortative mixing enhances the network controllability contrast to assortative mixing, to which …

in Japan from 1980 to 2006. This controllability of RMP can be applied to a power law distribution in various other …