Introduction to Tree Depth-First Search
Understand how to apply tree depth-first search patterns to traverse binary trees using preorder, inorder, and postorder methods. Explore practical examples like path sum checks and validating binary search trees, along with scenarios suited for DFS in hierarchical and graph-based problems.
About the pattern
A tree is a graph that contains the following properties:
It is
undirected A graph with edges that do not have a specific direction assigned to them. It is
acyclic A 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 in trees is typically
, where ...