Consider the following weighted undirected graph. A B 8 10 11 E 14 F 16 15 G H 12 13 Explain why edge (D, H) is safe. In other words, give a cut where the edge is the cheapest edge crossing the cut.

Q: How many edges does a graph have if its degree sequence is 2, 4, 4, 5, 3? A. Draw a graph with the…

A: Let's solve step by step:

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Q: 2. Let G = (V, E) be a directed weighted graph with the vertices         V = {A, B, C, D, E, F) and…

A: Computer graphics is the field of computer science and technology that involves creating,…

Q: Consider the following undirected weighted graph: 6 A. 24 B. 23 C. 15 D. 19 a b 2 f 7 4 10 d 7 (1)…

A: - We need to get the weight of MST using kruskals algorithm.

Q: Construct a simple graph with vertices A,B,C,D,E,F whose degrees are 3, 1, 1, 2, 3, 2. (For example,…

A: vertices A,B,C,D,E,F whose degrees are 3, 1, 1, 2, 3, 2. 1,2,1 has edge set

Q: ights are distinct. Is th

A: The statement is true.

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A: Shortest Path Problem:     The shortest path problem is a classic problem in graph theory that…

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A: A minimum spanning tree (MST) or minimum weight spanning tree is the subset of the edges of a…

Minimum Spanning Tree

A spanning tree is a sub-graph of a connected, undirected graph. It has all the vertices of a graph with the minimum possible number of edges. If a vertex is skipped, then it will not be a spanning tree. The edges of a spanning tree may or may not have weights.