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.
Informally, a graph is a finite set of dots called vertices (or nodes) connected by links called edges (or arcs). More formally: a simple graph is a (usually finite) set of vertices V and set of unordered pairs of distinct elements of V called edges. Not all graphs are simple.
Show that the following are equivalent definitions for a tree: 1  A graph with a minimal number of edges which is connected. 2  A graph with maximal number of edges without a cycle. 3  A graph with no cycle in which adding any edge creates a cycle.  A graph with n nodes and n-1 edges that is connected.