What Is Degree of Node in Data Structure With Example?

//

Larry Thompson

The degree of a node in a data structure refers to the number of edges connected to that particular node. In other words, it represents the number of immediate neighbors a node has. Understanding the concept of the degree of a node is essential in various data structures such as graphs and trees.

Degree of Node in Graphs

In graph theory, a graph consists of a set of vertices or nodes connected by edges. Each edge represents a relationship or connection between two nodes. The degree of a node in a graph is simply the count of edges that are incident to that particular node.

For example, consider a simple undirected graph with four nodes labeled A, B, C, and D:

       B
      / \
     /   \
    A-----C
     \   /
      \ /
       D

In this graph:

  • Node A has degree 2 because it is connected to B and C.
  • Node B has degree 2 because it is connected to A and C.
  • Node C has degree 3 because it is connected to A, B, and D.
  • Node D has degree 2 because it is connected to C.

Degree Sequence

The sequence of degrees for all the nodes in a graph is known as the degree sequence. For the above example, the degree sequence would be {2, 2, 3, 2}.

Note: In an undirected graph, the sum of all degrees will be twice the number of edges since each edge contributes to two degrees (one for each endpoint).

Degree of Node in Trees

In the context of trees, the degree of a node refers to the number of children it has. In a tree, each node can have at most one parent but can have multiple child nodes.

Consider a simple tree with five nodes labeled A, B, C, D, and E:

        A
       / \
      B   C
     / \
    D   E

In this tree:

  • Node A has degree 2 because it has two children (B and C).
  • Node B has degree 2 because it has two children (D and E).
  • Nodes C, D, and E have degree 0 since they are leaf nodes with no children.

Degree in Binary Trees

In binary trees, each node can have at most two children: a left child and a right child. Therefore, the degree of each node in a binary tree is either 0 (leaf node), 1 (one child), or 2 (two children).

Conclusion

The degree of a node in data structures such as graphs and trees provides valuable information about the connectivity and structure of these data structures. By understanding the concept of the degree of a node, you can analyze graphs more effectively and make informed decisions based on their properties.

Discord Server - Web Server - Private Server - DNS Server - Object-Oriented Programming - Scripting - Data Types - Data Structures

Privacy Policy