Discuss the principles and applications of Depth-First Search (DFS) algorithm in graph traversal. Include the following subparts: a) Explain the working principles and steps involved in Depth-First Search. b) Analyze the time complexity of Depth-First Search and discuss its efficiency in different types of graphs. c) Discuss the space complexity of Depth-First Search and explain the memory requirements during its execution. d) Compare Depth-First Search with Breadth-First Search (BFS) and highlight the differences in their traversal strategies.

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A: As per guidelines i can answer only one question if u want answer of other questions ask separately

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Binomial Heap

A binomial heap is a group of binomial trees. This data structure acts as a priority queue and implements the merge operation faster.