Sentence examples for be a directed tree from inspiring English sources

This corporate structure is constrained to be a (directed) tree structure.

A rooted tree is a directed tree having precisely one vertex with in-degree zero (a rooted tree is sometimes called a branching).

Then G i is a directed tree rooted at a. Proof.

A directed graph is a directed tree, if the graph is connected, all vertices except the root have in-degree equal to 1, and there are no cycles in the graph.

A rooted phylogenetic tree is a directed tree with a unique node that is in the highest part of the hierarchy and is recognized as the root node of the tree.

For 1 ⩽ k ⩽ n, C k k = ∑ T ∈ T k W ( T ) = ∑ T ∈ T k ∏ ( r, m ) ∈ E ( T ) β ¯ r m > 0, where T k is the set of all directed spanning subtrees of L that are rooted at vertex k, W ( T ) is the weight of a directed tree T, and E ( T ) denotes the set of directed arcs in a directed tree T. Let R 0 be defined in (2.3).

2. The history of replication of a genetic element without recombination is isomorphously represented by a directed tree graph (an arborescence, in the graph theory language).

One can find that S ( G σ ) is similar to S ( G v σ ), thus G v σ has the same skew energy as that of G σ. Especially, Adiga et al. [11] showed that the skew energy of a directed tree is independent of its orientation, which is equal to the energy of its underlying tree.

A directed tree is proposed to represent alternatives and partial solutions.

In [21], the authors proved that the skew energy of a directed tree is independent of its orientation.

A directed path graph (or a DV graph) is the intersection graph of the family of directed paths of a directed tree.