Sentence examples for both directed and undirected from inspiring English sources

His theorem was generalized for mixed graphs, i.e. ones that have both directed and undirected edges.

Results of this paper can be applied to both directed and undirected weighted networks.

In this paper, we study the global synchronization of nonlinearly coupled complex delayed dynamical networks with both directed and undirected graphs.

Based on the stability theory of fractional systems and the inequality of the fractional derivative, some pinning synchronization criteria are abtained for both directed and undirected complex networks.

Furthermore, by using algebraic graph theory, the convergence of this scheme is analyzed for both directed and undirected networks, and full synchronization is proved to be reached.

We mainly focus on bounded costs, and consider both directed and undirected graphs, bounded and unbounded number of colors, and both bounded and unbounded degree graphs.

The network model considered can represent both the directed and undirected weighted networks.

To provide a good balance between the two extremes, we developed a fast stochastic and recursive search algorithm, implemented it in C++, and made it available online both for directed and undirected weighted networks [25].

The control of PVC and AVB via the SAA neurons (Xd) in Fig. 6D is a good example of a nested feed-forward motif, as is the control of DB via the relays PVC and AVB with Xd as the source (but note that because there are both synaptic (directed) and undirected edges between Xv and AVB, the motifs are not strictly only feed-forward).

By duality, analogous results are established for robust observability of directed and undirected networks.

We show that directed and undirected variants of SNDP and of k-Connected Subgraph are equivalent w.r.t.