(c) Students can participate in a number of extracurricular activities throughout the term. Lindyhas signed up for chess and basketball. John has signed up for basketball, volleyball, debateand photography. Abel has signed up for debate, volleyball and chess. Kristen has signed upfor photography. Nadine has signed up for chess and volleyball.(i) Model the following scenario using a bipartite graph.(ii) Determine a matching where each student is accepted for an extracurricularactivity.

A bipartite graph can be created with two sets of nodes, one representing students and the other…

Answered: (c) Students can participate in a…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Consider the following transshipment network for finding the shortest route from node 1 to node 7. A network diagram between seven parties, distributed across four columns, is shown. The left-most column contains node 1. The second column contains nodes 2, 3, and 4. The third column contains nodes 5 and 6. The right-most column contains node 7. Arrows are shown between various locations. The following list contains the numbers placed on the graph. 1→2: 7 1→3: 9 1→4: 18 2⇆3: 3 2⇆5: 5 3⇆2: 3 3⇆5: 4 4→6: 3 5⇆2: 5 5⇆3: 4 5⇆6: 2 5→7: 6 6⇆5: 2 6→7: 3 7: no departing arrows (a) Formulate a linear programming model of the problem. (Express your answers using xij, where each xij is either 0 or 1 for the arc from node i to node j.) Min s.t.Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows For all xij = 0, 1. (b) Find the shortest route from node 1 to…
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