Given a node in a BST, how does one find the next higher key?
Check out here : InOrder Successor in a Binary Search Tree
In Binary Tree, Inorder successor of a node is the next node in Inorder traversal of the Binary Tree. Inorder Successor is NULL for the last node in Inoorder traversal. In Binary Search Tree, Inorder Successor of an input node can also be defined as the node with the smallest key greater than the key of input node.