An undirected graph G has 300 nodes and the minimum degree of any vertex is 3. Which of the following is the most precise statement we can make about m, the number of edges in G?
A m is at least 900.
B m is at least 450.
C m is at least 300.
D m is at least 100.
An undirected graph is a collection of connected objects (also known as vertices or nodes) where all of the edges are two-way. Undirected network is another name for an undirected graph. A directed graph, by contrast, is one that has edges that point in a specific direction.
We are aware that (n-1) edges are the very minimum needed to connect a network with n vertices. We can see that the graph G will become disconnected if one of its edges is removed. As a result, a linked graph with (n-1) edges and n vertices cannot contain a circuit. So a graph G is also a tree.
Weighted Graphs: A graph G=(V, E) is said to be weighted if each of its edges has been given a positive value w known as the edge's weight.
The cardinality of a graph's vertex set determines its order, and the cardinality of its edge set determines its size. If uv E, two vertices u and v are considered to be nearby. The end vertices of the edge uv in this instance are referred to as u and v.