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- Directed graphs are useful when the relationship connecting nodes works in one direction but not necessarily the opposite direction.[1]
- The figure below illustrates a simple directed graph whose nodes are labeled with integers.[1]
- This directed graph is a particular type of graph containing no cycles, fittingly called a directed acyclic graph.[1]
- A directed graph (sometimes abbreviated digraph) is a graph in which each edge is assigned an orientation.[2]
- Every digraph has a natural underlying graph where .[2]
- In other circumstances, digraphs may be defined to be loopless, simple (that is, with no multiple edges) or both.[2]
- Note that the "right" convention for digraphs is less obvious than for graphs.[2]
- A directed graph may be thought of as a neighborhood of one-way streets: the map must show the allowed direction of travel on each street.[3]
- The term directed graph is used in both graph theory and category theory.[4]
- An example of a use of digraph theory in category theory is giving a rigorous justification of the notational practice of pasting diagrams.[4]
- The figure below shows a directed graph with unidirectional edges depicted as arrows.[5]
- The great advantage of this type of Force-Directed graph plotting algorithm is the simplicity of its implementation.[6]
- We start with splitting of the directed graph into its recurrent and nonrecurrent parts.[7]
- Here the objective function for minimization is the weighted cut of the directed graph.[7]
- In Section 2, we introduce the idea of spectral complexity of a directed graph.[7]
- Every realization of gives a weighted directed graph.[7]
- The polytope is returned as a polytope in \(\RR^m\), where \(m\) is the number of edges of the digraph self .[8]
- Directed graphs have edges with direction.[9]
- Directed graphs are a class of graphs that don’t presume symmetry or reciprocity in the edges established between vertices.[10]
- This definition is constructed on the basis of the one for directed graphs and depends on it.[10]
- If we use this definition, we can then find the single undirected graph that corresponds to any given directed graph.[10]
- This means that we can’t, as a general rule, treat directed graphs as undirected graphs or vice-versa.[10]
- A graph in which each graph edge is replaced by a directed graph edge, also called a digraph.[11]
- A complete graph in which each edge is bidirected is called a complete directed graph.[11]
- A directed graph having no symmetric pair of directed edges (i.e., no bidirected edges) is called an oriented graph.[11]
- Directed graphs are graphs where edges go in one direction.[12]
- In the directed graph, the arrows indicates that you can go one way but not back unless you go through a different edge.[12]
- These graphs are unique to directed graphs because if we recall from earlier, non-directed graphs have edges that act as two way paths.[12]
- Now as we discussed, in a directed graph all the edges have a specific direction.[13]
- In graph theory, there are many variants of a directed graph.[13]
- We can convert an undirected graph into a directed graph by replacing each edge with two directed edges.[13]
- Now, we already discussed some conditions and assumptions for a directed graph such that it contains the maximum number of edges.[13]
- We say that two vertices i and j of a directed graph are joined or adjacent if there is an edge from i to j or from j and i .[14]
- Suppose we are given a directed graph with n vertices.[14]
- Fact 1: Consider a directed graph and a positive integer k .[14]
- The transition matrix A associated to a directed graph is defined as follows.[14]
- A directed graph, also called a digraph, is a graph in which the edges have a direction.[15]
- Many of the topics we have considered for graphs have analogues in digraphs, but there are many new topics as well.[15]
- Ex 5.11.1 Connectivity in digraphs turns out to be a little more complicated than connectivity in graphs.[15]
- A digraph is connected if the underlying graph is connected.[15]
- Some authors describe digraphs with loops as loop-digraphs .[16]
- It follows that a directed graph is an oriented graph if and only if it hasn't any 2-cycle.[16]
- The degree sequence is a directed graph invariant so isomorphic directed graphs have the same degree sequence.[16]
- A directed graph (or digraph) is a set of vertices and a collection of directed edges that each connects an ordered pair of vertices.[17]
- Single-source reachability: Given a digraph and source s , is there a directed path from s to v?[17]
- Multiple-source reachability: Given a digraph and a set of source vertices, is there a directed path from any vertex in the set to v?[17]
- Single-source directed paths: given a digraph and source s , is there a directed path from s to v?[17]
- The supporting digraph can also be made adaptive by switching between a number of predetermined digraphs according to certain rules.[18]
- The mode sets of these digraphs are not necessarily (usually better not) disjoint since some modes might belong to more than one group.[18]
- In the digraph switching approach, a (strong) cover is set up first.[18]
- A supporting digraph for the model-set (111).[18]
- A directed graph with n vertices is represented by an adjacency list.[19]
- Returns the relation corresponding to the digraph.[19]
소스
- ↑ 1.0 1.1 1.2 Directed graph
- ↑ 2.0 2.1 2.2 2.3 Art of Problem Solving
- ↑ directed graph
- ↑ 4.0 4.1 directed graph in nLab
- ↑ directed_graph
- ↑ Force Directed Graph - What is it ?
- ↑ 7.0 7.1 7.2 7.3 Spectral Complexity of Directed Graphs and Application to Structural Decomposition
- ↑ Directed graphs — Sage 9.2 Reference Manual: Graph Theory
- ↑ Directed and Undirected Graphs
- ↑ 10.0 10.1 10.2 10.3 What Is the Difference Between a Directed and an Undirected Graph
- ↑ 11.0 11.1 11.2 Directed Graph -- from Wolfram MathWorld
- ↑ 12.0 12.1 12.2 Algorithms on Graphs: Directed Graphs and Cycle Detection
- ↑ 13.0 13.1 13.2 13.3 Determine Maximum Number of Edges in a Directed Graph
- ↑ 14.0 14.1 14.2 14.3 Transition Matrices
- ↑ 15.0 15.1 15.2 15.3 5.11 Directed Graphs
- ↑ 16.0 16.1 16.2 Directed graph
- ↑ 17.0 17.1 17.2 17.3 Directed Graphs
- ↑ 18.0 18.1 18.2 18.3 Directed Graphs - an overview
- ↑ 19.0 19.1 Appendix A: Directed graphs
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위키데이터
- ID : Q1137726
Spacy 패턴 목록
- [{'LOWER': 'directed'}, {'LEMMA': 'graph'}]
- [{'LEMMA': 'digraph'}]