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Introduction to Tree Breadth-First Search

Explore the core concept of tree breadth-first search traversal, which processes nodes level by level starting from the root. Understand its efficiency in visiting each node once, its implementation via a queue, and practical applications such as file system analysis, version control, biological trees, and DOM traversal. This lesson helps you identify when to apply BFS for hierarchical tree data and solve related problems effectively.

About the pattern

A tree is a graph that contains the following properties:

  • It is undirectedA graph with edges that do not have a specific direction assigned to them..

  • It is acyclicA graph without cycles..

  • It is a connected graph where any two vertices are connected by exactly one path.

  • Its nodes can contain values of any data type.

The following key features set trees apart from other data structures, such as arrays or linked lists:

  • They organize data in a hierarchical manner with a root node at the top and child nodes branching out from it.

  • They are nonlinear, which means that the elements in a tree are not arranged sequentially but rather in a branching structure.

  • The time complexity for search and insert operations is typically O(logn)O(log n) in the case of balanced binary search trees, and O(n)O(n) in the case of general or unbalanced trees, where ...