Data Structures and Algorithmic Thinking with Python: Data Structure and Algorithmic Puzzles by Narasimha Karumanchi
Author:Narasimha Karumanchi
Language: eng
Format: azw3, epub
Publisher: CareerMonk Publications
Published: 2017-01-06T08:00:00+00:00
Problem-28 Unique topological ordering: Design an algorithm to determine whether a directed graph has a unique topological ordering.
Solution: A directed graph has a unique topological ordering if and only if there is a directed edge between each pair of consecutive vertices in the topological order. This can also be defined as: a directed graph has a unique topological ordering if and only if it has a Hamiltonian path. If the digraph has multiple topological orderings, then a second topological order can be obtained by swapping a pair of consecutive vertices.
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