Markov chain small-world model with asymmetric transition probabilities.
Modified Wiener indices of thorn trees
Monomial subdigraphs of reachable and controllable positive discrete-time systems
A generic structure of reachable and controllable positive linear systems is given in terms of some characteristic components (monomial subdigraphs) of the digraph of a non-negative a pair. The properties of monomial subdigraphs are examined and used to derive reachability and controllability criteria in a digraph form for the general case when the system matrix may contain zero columns. The graph-theoretic nature of these criteria makes them computationally more efficient than their known equivalents....