Graph:- A graph consists of a nonempty set of points or vertices, and a set of edges that link together the vertices. A simple real world example of a graph would be your house and the corner store. Where the house and the store are the vertices and the road between them is the edge connecting the two vertices.
Or a graph is a network consisting of vertices (or nodes) and edges (V,E) Simple Graph
A graph can take on many forms: directed or undirected.
Directed Graph:- A directed graph is one in which the direction of any given edge is defined. Or A graph with directed edges = directed graph (digraph)
Directed edges = arcs
Undirected Graph:- An undirected graph is one in which the direction of any given edge is not defined. Conversely, in an undirected graph you can move in both directions between vertices. Or a graph with undirected edges is called undirected graph. Undirected graph Mixed Graph:- A graph is one in which contains both directed and undirected edges.
Null Graph: - A null graph is one that contains only isolated vertices (example no edges). Null Graph
Connected graph:- All vertices are directly or indirectly connected with each other (otherwise we have a graph, consisting of at least two sub graphs).
Complete graph:- Each vertex is directly connected with every other vertex. Or a simple graph in which every pair of vertices is adjacent.
Weighted Graph:- The edges can...