# Difference Between Graph and Tree

**Graph vs Tree**

For people about to study different data structures, the words “graph” and “tree” may cause some confusion. There are, without a doubt, some differences between a graph and a tree. A graph is a group of vertexes with a binary relation. A data structure that contains a set of nodes connected to each other is called a tree.

In the study of mathematics, the tree is the undirected graph. It is two vertexes being connected by one linear path. To explain it further, a group of connected graphs lacking cycles is called a tree. A tree is a case of specific graphs wherein it lays a linked graph without circuits and not having self loops. Tree is also used in computer science because it is a data structure. Like a real-life tree, its structure contains nodes that are connected to each other. Each node may have a certain value or condition. The tree can also stand alone or can signify a separate data structure.

Graphs are made up of a group of nodes and edges, same with trees, but in the case of graphs, regulations for the connections among nodes do not exist. There is no concept of a root node in the case of graphs. Simply put, a graph is merely a compilation of interconnected nodes. In the completion of a graph, the nodes are employed as items or structures. The edges can be symbolized in dissimilar forms. When the information is to be contained in nodes instead of the edges, the arrays then act as an indicator to nodes and for the representation of edges.

There are three sets in a graph; these are the vertexes, edges, and a set in lieu of relations amid the vertexes and edges. A circuit is an irregular succession of edges and vertexes where in edges will not be repeated. Vertexes could be repeated, and the starting and ending vertexes are identical. A tree may not include any sort of loop and can still be connected. In addition, it is called a modestly linked graph wherein there is only one path connecting the two vertexes.

All existing trees are graphs. The difference is that a tree is actually an extraordinary example of a graph. This is because the nodes are all very accessible from some initial node and that there are no cycles. Graphs, unlike trees, are able to have sets of nodes that are disjointed from supplementary sets of nodes.

A graph, similar to a tree, is a set of nodes and edges but contains no rules in dictating the correlation among the nodes. Graphs really are one of the most adaptable data structures.

Summary:

1.A graph is a group of vertexes with a binary relation. A data structure that contains a set of nodes connected to each other is called a tree.

2.Like a real-life tree, its structure contains nodes that are connected to each other. Each node may have a certain value or condition. The tree can also stand alone or can signify a separate data structure.

3.Graphs are made up of a group of nodes and edges, same with trees, but in the case of graphs, regulations for the connections among nodes do not exist.

4.There are three sets in a graph; these are the vertexes, edges, and a set in lieu of relations amid the vertexes and edges.

5.A tree may not include any sort of loop and can still be connected. In addition, it is called a modestly linked graph wherein there is only one path connecting the two vertexes

6.All existing trees are graphs.

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