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degree of graph

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  • Degree (graph theory) — A graph with vertices labeled by degree In graph theory, the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex, with loops counted twice.[1] The degree of a vertex …   Wikipedia

  • Graph property — In graph theory a graph property is any inherently graph theoretical property of graphs (formal definitions follow), distinguished from properties of graphs described in terms of various graph representations: graph drawings, data structures for… …   Wikipedia

  • Degree — may refer to: Contents 1 As a unit of measurement 2 In mathematics 3 In education …   Wikipedia

  • Glossary of graph theory — Graph theory is a growing area in mathematical research, and has a large specialized vocabulary. Some authors use the same word with different meanings. Some authors use different words to mean the same thing. This page attempts to keep up with… …   Wikipedia

  • Graph coloring — A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called colors to elements of a graph… …   Wikipedia

  • Graph (mathematics) — This article is about sets of vertices connected by edges. For graphs of mathematical functions, see Graph of a function. For statistical graphs, see Chart. Further information: Graph theory A drawing of a labeled graph on 6 vertices and 7 edges …   Wikipedia

  • graph theory — Math. the branch of mathematics dealing with linear graphs. [1965 70] * * * Mathematical theory of networks. A graph consists of nodes (also called points or vertices) and edges (lines) connecting certain pairs of nodes. An edge that connects a… …   Universalium

  • Degree (mathematics) — This article is about the term degree as used in mathematics. For alternative meanings, see Degree (disambiguation). In mathematics, there are several meanings of degree depending on the subject. Contents 1 Unit of angle 2 Degree of a monomial 3… …   Wikipedia

  • Degree distribution — In/out degree distribution for Wikipedia s hyperlink graph (logarithmic scales) In the study of graphs and networks, the degree of a node in a network is the number of connections it has to other nodes and the degree distribution is the… …   Wikipedia

  • Degree diameter problem — In graph theory, the degree diameter problem is the problem of finding the largest possible graph G (in terms of the size of its vertex set V) of diameter k such that the largest degree of any of the vertices in G is at most d. The size of G is… …   Wikipedia

  • Degree matrix — In the mathematical field of graph theory the degree matrix is a diagonal matrix which contains information about the degree of each vertex. It is used together with the adjacency matrix to construct the Laplacian matrix of a graph. Definition… …   Wikipedia

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