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  1. Directed graphs are useful when the relationship connecting nodes works in one direction but not necessarily the opposite direction.[1]
  2. The figure below illustrates a simple directed graph whose nodes are labeled with integers.[1]
  3. This directed graph is a particular type of graph containing no cycles, fittingly called a directed acyclic graph.[1]
  4. A directed graph (sometimes abbreviated digraph) is a graph in which each edge is assigned an orientation.[2]
  5. Every digraph has a natural underlying graph where .[2]
  6. In other circumstances, digraphs may be defined to be loopless, simple (that is, with no multiple edges) or both.[2]
  7. Note that the "right" convention for digraphs is less obvious than for graphs.[2]
  8. 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]
  9. The term directed graph is used in both graph theory and category theory.[4]
  10. An example of a use of digraph theory in category theory is giving a rigorous justification of the notational practice of pasting diagrams.[4]
  11. The figure below shows a directed graph with unidirectional edges depicted as arrows.[5]
  12. The great advantage of this type of Force-Directed graph plotting algorithm is the simplicity of its implementation.[6]
  13. We start with splitting of the directed graph into its recurrent and nonrecurrent parts.[7]
  14. Here the objective function for minimization is the weighted cut of the directed graph.[7]
  15. In Section 2, we introduce the idea of spectral complexity of a directed graph.[7]
  16. Every realization of gives a weighted directed graph.[7]
  17. The polytope is returned as a polytope in \(\RR^m\), where \(m\) is the number of edges of the digraph self .[8]
  18. Directed graphs have edges with direction.[9]
  19. Directed graphs are a class of graphs that don’t presume symmetry or reciprocity in the edges established between vertices.[10]
  20. This definition is constructed on the basis of the one for directed graphs and depends on it.[10]
  21. If we use this definition, we can then find the single undirected graph that corresponds to any given directed graph.[10]
  22. This means that we can’t, as a general rule, treat directed graphs as undirected graphs or vice-versa.[10]
  23. A graph in which each graph edge is replaced by a directed graph edge, also called a digraph.[11]
  24. A complete graph in which each edge is bidirected is called a complete directed graph.[11]
  25. A directed graph having no symmetric pair of directed edges (i.e., no bidirected edges) is called an oriented graph.[11]
  26. Directed graphs are graphs where edges go in one direction.[12]
  27. In the directed graph, the arrows indicates that you can go one way but not back unless you go through a different edge.[12]
  28. 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]
  29. Now as we discussed, in a directed graph all the edges have a specific direction.[13]
  30. In graph theory, there are many variants of a directed graph.[13]
  31. We can convert an undirected graph into a directed graph by replacing each edge with two directed edges.[13]
  32. Now, we already discussed some conditions and assumptions for a directed graph such that it contains the maximum number of edges.[13]
  33. 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]
  34. Suppose we are given a directed graph with n vertices.[14]
  35. Fact 1: Consider a directed graph and a positive integer k .[14]
  36. The transition matrix A associated to a directed graph is defined as follows.[14]
  37. A directed graph, also called a digraph, is a graph in which the edges have a direction.[15]
  38. Many of the topics we have considered for graphs have analogues in digraphs, but there are many new topics as well.[15]
  39. Ex 5.11.1 Connectivity in digraphs turns out to be a little more complicated than connectivity in graphs.[15]
  40. A digraph is connected if the underlying graph is connected.[15]
  41. Some authors describe digraphs with loops as loop-digraphs .[16]
  42. It follows that a directed graph is an oriented graph if and only if it hasn't any 2-cycle.[16]
  43. The degree sequence is a directed graph invariant so isomorphic directed graphs have the same degree sequence.[16]
  44. 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]
  45. Single-source reachability: Given a digraph and source s , is there a directed path from s to v?[17]
  46. 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]
  47. Single-source directed paths: given a digraph and source s , is there a directed path from s to v?[17]
  48. The supporting digraph can also be made adaptive by switching between a number of predetermined digraphs according to certain rules.[18]
  49. The mode sets of these digraphs are not necessarily (usually better not) disjoint since some modes might belong to more than one group.[18]
  50. In the digraph switching approach, a (strong) cover is set up first.[18]
  51. A supporting digraph for the model-set (111).[18]
  52. A directed graph with n vertices is represented by an adjacency list.[19]
  53. Returns the relation corresponding to the digraph.[19]

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Spacy 패턴 목록

  • [{'LOWER': 'directed'}, {'LEMMA': 'graph'}]
  • [{'LEMMA': 'digraph'}]