Tree data structures in 2 minutes π³
Introduction to Trees in Data Structures
Overview of Tree Structure
- A tree is defined as a non-linear data structure where nodes are organized hierarchically, consisting of nodes and edges.
- Nodes represent pieces of data, while edges signify relationships between these nodes. An example given is a family tree.
Real-Life Applications
- Common applications of tree structures include:
- File explorers
- Databases
- Domain Name Servers (DNS)
- HTML Document Object Model (DOM)
Key Terminology
- The top node in a tree is called the root node, which has only outgoing edges.
- Leaf nodes are at the bottom with no outgoing edges but have incoming ones.
- Branch nodes possess both incoming and outgoing edges.
Relationships Between Nodes
- Parent nodes have outgoing edges; child nodes have incoming edges.
- Sibling nodes share the same parent, illustrated by examples from the family tree analogy.
Tree Characteristics
- A sub-tree refers to a smaller tree within a larger one.
- The size of a tree is determined by counting its total number of nodes. For instance, the discussed tree has six nodes.
Depth and Height Definitions
- The depth of a node indicates how many edges lie below it from the root node; for example, the root has a depth of zero.