A city is built on the banks of a river and some islands in the river. The map below shows the bridgesconnecting the various land masses. Draw a graph that models the connecting relationships in themap below. The vertices represent the land masses and the edges represent bridges connectingthem.A11)BD||EIs it possible to find a path through the city that uses each bridge once? If so, enter the sequence ofland masses(vertices) visited, for example ABDEA. If it is not possible, enter DNE.

Remark: An Euler path is a path that uses every edge of a graph exactly once. The graph is given as

Answered: A city is built on the banks of a river…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Refer to the accompanying graph. Complete parts (a) through (c) in order. Starting at A, the circuit is Starting at B, the circuit is Starting at C, the circuit is Starting at D, the circuit is Starting at E, the circuit is (Simplify your answers.) and the total weight is and the total weight is and the total weight is and the total weight is and the total weight is C... JOC B 12 17 63 A 5 13 58 9 8 (a) Use the nearest neighbor algorithm starting at each of the vertices in turn to determine an approximate solution to the problem of finding a minimum Hamilton circuit for the graph. In each case, find the total weight of the circuit. E 11 D
Graphs 1. Describe each graph below. Explain how many vertices and how many edges it has, and if it is a tree or not a tree. 1 10 C Write your response below:
Determine the circuit of minimal length in the given graph. NEED STEPS Solution. We can chose any initial vertex, we start from A and we list all the possibilitieswith the corresponding lengths.Path LengthA, B, C, D, A 97A, B, D, C, A 108A, C, B, D, A 141A, C, D, B, A 108A, D, B, C, A 141A, D, C, B, A 97We could also have avoided the circuits in opposite directions.A shortest Hamilton circuit is A, B, C, D, A (or A, D, C, B, A) and it has length 97.
Draw a graph that models the connecting relationships in the floorplan below. The vertices represent the rooms and the edges represent doorways connecting the rooms. Vertex F represents the outdoors. F ㅓㅏ A B T E Is it possible to find a circuit through the house that uses each doorway once? If so, enter the sequence of rooms (vertices) visited, for example ABDEA. If it is not possible, enter DNE.
Draw a graph that models the connecting relationships in the floorplan below. The vertices represent the rooms and the edges represent doorways connecting the rooms. Vertex F represents the outdoors. F B E Is it possible to find a circuit through the house that uses each doorway once? If so, enter the sequence of rooms(vertices) visited, for example ABDEA. If it is not possible, enter DNE.
Find component of Q1, Q2, Q3 1. construct less than ogive i) graph paper ii) Microsoft excel 2. show the location/value of Q1, Q2 and Q3 in the ogive b) The following table shows the frequency distribution of waiting time (in minutes) during flight delays by 50 flights at Subang International Airport (SIA) in a particular week. Waiting time (in minutes) 10-19 Number of flights 7 20-29 8 30-39 14 40-49 12 50-59 5 60-69 4

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