Examples of using Directed graph in English and their translations into Romanian
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A simple directed graph.
The degree sum formula states that, for a directed graph.
The adjacency matrix of a directed graph is unique up to identical permutation of rows and columns.
In the asymmetric TSP, paths may not exist in both directions or the distances might be different,forming a directed graph.
Another matrix representation for a directed graph is its incidence matrix.
A directed graph is a pseudoforest if and only if every vertex has outdegree at most 1.
If the edges of a complete graph are each given an orientation,the resulting directed graph is called a tournament.
A strongly connected simple directed graph with n vertices is Hamiltonian if every vertex has a full degree greater than or equal to n.
Recurrent neural network(RNN)- a feedback network where connections between nodes form a directed graph along a sequence.
The degree sequence is a directed graph invariant so isomorphic directed graphs have the same degree sequence.
(Trailing pairs of zeros may be ignored since they are trivially realized by adding an appropriate number of isolated vertices to the directed graph.).
Now, what I did was I applied networking theory to a directed graph, using the source and known nodes to determine the sink.
The directed graph realization problem is the problem of finding a directed graph with the degree sequence a given sequence of positive integer pairs.
Apache2GDL is a Perl script that parses an Apache log file and generates a directed graph of visitors' movement in GDL format for visualization with aiSee.
A tournament is a directed graph(digraph) obtained by assigning a direction for each edge in an undirected complete graph. .
Because each entry in the adjacency matrix requires only one bit, it can be represented in a very compact way, occupying only|V|2/8 bytes to represent a directed graph, or(by using a packed triangular format and only storing the lower triangular part of the matrix) approximately| V|2/16 bytes to represent an undirected graph. .
A strongly connected simple directed graph with n vertices is Hamiltonian if the sum of full degrees of every pair of distinct non-adjacent vertices is greater than or equal to 2n- 1.
That is, it is an orientation of a complete graph, or equivalently a directed graph in which every pair of distinct vertices is connected by a single directed edge.
Also, if a directed graph has been divided into strongly connected components, cycles only exist within the components and not between them, since cycles are strongly connected.[5].
In mathematics, and more specifically in graph theory, a vertex(plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices anda set of edges(unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs(ordered pairs of vertices).
A directed graph is strongly connected or strong if it contains a directed path from x to y and a directed path from y to x for every pair of vertices{x, y}.
A sequence which is the degree sequence of some directed graph, i.e. for which the directed graph realization problem has a solution, is called a directed graphic or directed graphical sequence.
A directed graph has an Eulerian cycle if and only if every vertex has equal in degree and out degree, and all of its vertices with nonzero degree belong to a single strongly connected component.
An early exact algorithm for finding an Hamiltonian cycle on a directed graph was the enumerative algorithm of Martello 3A search procedure by Frank Rubin[4] divides the edges of the graph into three classes: those that must be in the path, those that cannot be in the path, and undecided.
A directed graph is weakly connected(or just connected[5]) if the undirected underlying graph obtained by replacing all directed edges of the graph with undirected edges is a connected graph. .
The aforementioned definition does not allow a directed graph to have multiple arrows with same source and target nodes, but some authors consider a broader definition that allow directed graphs to have such multiple arrows(namely, they allow the arrows set to be a multiset).
Equivalently, a directed graph has an Eulerian cycle if and only if it can be decomposed into edge-disjoint directed cycles and all of its vertices with nonzero degree belong to a single strongly connected component.
A directed graph has an Eulerian trail if and only if at most one vertex has(out-degree)-(in-degree)= 1, at most one vertex has(in-degree)-(out-degree)= 1, every other vertex has equal in-degree and out-degree, and all of its vertices with nonzero degree belong to a single connected component of the underlying undirected graph. .
On the other hand,the aforementioned definition allows a directed graph to have loops(that is, arrows that connect nodes with themselves), but some authors consider a narrower definition that doesn't allow directed graphs to have loops.[2] More specifically, directed graphs without loops are addressed as simple directed graphs, while directed graphs with loops are addressed as loop-digraphs(see section Types of directed graphs). .