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Topic: Algorithm-conceptual-questions / Level: Advanced
402. What is a weighted graph, and how does it differ from an unweighted graph?
403. Explain how to find strongly connected components in a directed graph.
404. What is the significance of Tarjan's algorithm in graph theory?
405. Discuss the concept of cycle detection in directed and undirected graphs.
406. How does Kruskal's algorithm work for finding minimum spanning trees?
407. Explain the difference between greedy and dynamic programming approaches to optimization.
408. What is the significance of the Lempel-Ziv-Welch (LZW) algorithm in data compression?
409. Describe the process of Huffman coding for lossless data compression.
410. What are the differences between primary and secondary data structures?
411. Explain how to use the binary search algorithm for a sorted array.
412. What is a binary search tree (BST), and how does it support efficient searching?
413. Describe the differences between an array and a linked list in terms of performance.
414. Explain the concept of a space-efficient algorithm.
415. How does the concept of locality of reference affect algorithm performance?
416. What is the significance of big O notation in algorithm analysis?
417. Describe how to implement an efficient radix sort algorithm.
418. What are the advantages and disadvantages of different sorting algorithms?
419. Explain the concept of a computational model and its significance in algorithm design.
420. What is a finite state machine, and how is it represented?
421. Discuss the significance of the Halting Problem in theoretical computer science.
422. Explain the concept of memoization and its applications.
423. What is the role of dynamic programming in solving optimization problems?
424. Describe the significance of the Knapsack problem in resource allocation.
425. How does the Maximum Subarray problem relate to dynamic programming?
426. What is a directed acyclic graph (DAG), and what are its properties?
427. Explain how to use dynamic programming to solve the edit distance problem.
428. What is a mixed-integer linear programming (MILP) problem?
429. Describe the significance of Schur's lemma in combinatorial optimization.
430. How does the concept of a heuristic function improve search algorithms?
431. What is a context-free grammar, and how is it used in parsing algorithms?
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What is an algorithm for converting between different numeral systems?
Explain the difference between greedy and dynamic programming approaches to optimization.
Define "input" and "output" in an algorithm.
What is a greedy algorithm, and under what conditions does it guarantee an optimal solution?
Describe how to analyze the space complexity of an algorithm.
What is a red-black tree?
What is a topological sort?
Explain how to find the longest common subsequence.
What is the significance of optimization in algorithms?
Explain the concept of a heap sort and its time complexity.
What is the role of a cache in algorithm performance optimization?
What is the significance of graph bipartiteness, and how can it be determined?
What is an algorithm?
What are NP-complete problems?
What is a B-tree?