Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:1.2 Given the above graph, what's the weight of the minimum spanning tree?
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- Mark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has asked you to use various graph algorithms to analyze the world's largest social network. The Facebook Graph has 2.8 billion vertices, with each vertex being a Facebook user. Two vertices are connected provided those two users are "friends". The first decision you need to make is how you want to model the Facebook graph. Determine whether you should use an adjacency-list representation or an adjacency-matrix representation.arrow_forwardJava - Kruskal's minimum spanning tree algorithm is executed on the following graph.arrow_forwardfor the graphWhat edges are selected to obtain the minimum spanning tree? Select one or more than one:arrow_forward
- How many spanning trees does the following graph have?arrow_forwardYou are given a weighted tree T.(As a reminder, a tree T is a graph that is connected and contains no cycle.) Each node of the tree T has a weight, denoted by w(v). You want to select a subset of tree nodes, such that weight of the selected nodes is maximized, and if a node is selected, then none of its neighbors are selected.arrow_forward1. Use the graph below to answer the following questions. A B H 10 G 10 25 20 5 50 5 5 30 5 15 C 20 D F 15 E (a) Use Kruskal's Algorithm to produce a minimum spanning tree. Write down the edges that you choose in order of the algorithm. (b) Use Prim's Algorithm to produce a minimum spanning tree (assume A is the root/source). Write down the edges that you choose in order of the algorithm.arrow_forward
- Suppose we ran Prim's algorithm on the graph starting from node 0. Which edge would be added to the minimum spanning tree third? 0,1 O 0,2 O 0,3 O 0,4 O 1,2 O 2,3 3,4arrow_forwardUsing the Kruskal’s Algorithm, show the minimum spanning tree representation of the graph.arrow_forwardThe following graph shows the distances, in units of 100 km, between 12 cities. B 3 D 3 7 3 5 E 4 F 3 G 3 H 6 3 5 J 3 K 1 L (i) (ii) Find two different spanning trees. Determine the minimal spanning tree. 2.arrow_forward
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