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A necessary and sufficient condition, described by vertex partitions of digraphs, is proposed for the Kalman decomposition.
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The main idea of the algorithm is the partitioning of the digraph into (p) pieces and the construction of a local transitive closure for each one of these pieces.
As a by-product, we unveil the connection of this class of digraphs with weight-balanceable digraphs.
We study reachability properties of digraphs whose edges are labeled by elements of a semigroup.
A new class of digraphs satisfying the above condition on the graph Laplacian is studied.
First, numerical analysis of digraphs of different order suggests a significant negative correlation between a network's index and its structural off-state robustness for both perturbation modes.
Why did I pick graph to be a subclass of digraph?
Well, I'm going to make it as a subclass of digraph.
And as a consequence, it's easier to make the graph a subclass of digraph.
The topological structure of the system is given as input in the form of digraph.
Top-level Lean practice bundles are positioned at the top of digraph and so on.
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