For instance, when a conveyance is made to a man, his assent to it is presumed, for the following reasons; cause there is a strong intendment of law, that it is for a person's benefit to take, and no man can be supposed to be unwilling to do that which is for his advantage. 2.
A simple graph, as opposed to a multigraph, is an undirected graph in which both multiple edges and loops are disallowed. In a simple graph the edges form a set (rather than a multiset) and each edge is an unordered pair of distinct vertices.
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G. The name line graph comes from a paper by Harary & Norman (1960) although both Whitney (1932) and Krausz (1943) used the construction before this.