line graph

名词 n.
中文释义

英文释义

名词 n.
  1. A graph in which a series of connected straight lines connect points, each of which represents the value of a particular variable as a function of another variable.
  2. A graph L(G) which is derived from a given non-oriented graph G such that the vertices of L(G) represent edges of G and so that a clique in L(G) represents a common end-vertex shared by a set of represented edges. (A star subgraph in G transforms into a clique in L(G).)
  3. A graph L(G) which is derived from a given non-oriented graph G such that the vertices of L(G) represent edges of G and so that a clique in L(G) represents a common end-vertex shared by a set of represented edges. (A star subgraph in G transforms into a clique in L(G).); A graph which is the line graph (in the above sense) of some other graph.
    — Suppose that a graph G has vertices A, B, C, and D such that A is adjacent to each of B, C, and D, but {B, C, D} is an independent set. Then G cannot be a line graph.

词形变化

line graphs plural
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