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Design and Analysis of Algorithms | Sayakulova Zarina

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In Kruskal’s algorithm, what ensures that no cycle is formed when adding an edge?
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Using a Fibonacci heap, Prim’s algorithm on a connected graph runs in:
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Which statement is TRUE about MSTs and negative edges?
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To detect a cycle in an undirected graph using DSU, you:
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With union-by-rank (or size) and path compression, the amortized time per Union-Find operation is:
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The condensation graph (each SCC contracted to one node) of a directed graph is always:
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Let G be a connected, weighted, undirected graph. Removing every edge whose weight exceeds the maximum edge weight on some fixed MST:
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Which of the following statements correctly describes a directed graph (digraph)?
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Given a connected undirected graph with the following weighted edges: A–B(3), A–C(1), B–C(2), B–D(4), C–D(5). For the graph above, if Prim’s algorithm starts at vertex B, which edge is added first?
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The path compression heuristic in DSU primarily optimizes which operation?
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