Excursions In Modern Mathematics, 9th Edition
9th Edition
ISBN: 9780134494142
Author: Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 6, Problem 6E
For the graph shown in
a. find a Hamilton path that starts at A and ends at E.
b. find a Hamilton circuit that starts at A and ends with the edge EA.
c. find a Hamilton path that starts at E and ends at A.
d. find a Hamilton circuit that starts at E and ends with the edge AE.
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Chapter 6 Solutions
Excursions In Modern Mathematics, 9th Edition
Ch. 6 - For the graph shown in Fig. 6-19, a.find three...Ch. 6 - For the graph shown in Fig. 6-20, a.find three...Ch. 6 - Find all possible Hamilton circuits in the graph...Ch. 6 - Find all possible Hamilton circuits in the graph...Ch. 6 - For the graph shown in Fig.6-23, a. find a...Ch. 6 - For the graph shown in Fig.6-24, a. find a...Ch. 6 - Suppose D,G,E,A,H,C,B,F,D is a Hamilton circuit in...Ch. 6 - Suppose G,B,D,C,A,F,E,G is a Hamilton circuit in a...Ch. 6 - Consider the graph in Fig. 6-25. a. Find the five...Ch. 6 - Consider the graph in Fig.6-26. a. Find all the...
Ch. 6 - Consider the graph in Fig.6-27. a. Find all the...Ch. 6 - Prob. 12ECh. 6 - For the graph in Fig.6-29 a. find a Hamilton path...Ch. 6 - For the graph in Fig.6-30 a. find a Hamilton path...Ch. 6 - Explain why the graph shown in Fig.6-31 has...Ch. 6 - Explain why the graph shown in Fig.6-32 has...Ch. 6 - For the weighted shown in Fig 6-33, a.find the...Ch. 6 - For the weighted graph shown in Fig6-34, a.find...Ch. 6 - For the weighted graph shown in Fig6-35, a.find a...Ch. 6 - For the weighted graph shown in Fig6-36, a.find a...Ch. 6 - Suppose you have a supercomputer that can generate...Ch. 6 - Suppose you have a supercomputer that can generate...Ch. 6 - Prob. 23ECh. 6 - a. How many edges are there in K200? b. How many...Ch. 6 - In each case, find the value of N. a. KN has 120...Ch. 6 - In each case, find the value of N. a. KN has 720...Ch. 6 - Find an optimal tour for the TSP given in...Ch. 6 - Find an optimal tour for the TSP given in...Ch. 6 - A truck must deliver furniture to stores located...Ch. 6 - A social worker starts from her home A, must visit...Ch. 6 - You are planning to visit four cities A, B, C, and...Ch. 6 - An unmanned rover must be routed to visit four...Ch. 6 - For the weighted graph shown in Fig.6-41, i find...Ch. 6 - A delivery service must deliver packages at...Ch. 6 - Prob. 35ECh. 6 - A space mission is scheduled to visit the moons...Ch. 6 - This exercise refers to the furniture truck TSP...Ch. 6 - This exercise refers to the social worker TSP...Ch. 6 - Darren is a sales rep whose territory consists of...Ch. 6 - The Platonic Cowboys are a country and western...Ch. 6 - Find the repetitive nearest-neighbor tour and give...Ch. 6 - Prob. 42ECh. 6 - This exercise is a continuation of Darrens sales...Ch. 6 - This exercise is a continuation of the Platonic...Ch. 6 - Prob. 45ECh. 6 - Prob. 46ECh. 6 - Find the cheapest-link tour and give its cost for...Ch. 6 - Find the cheapest-link tour for the social worker...Ch. 6 - For the Brute-Force Bandits concert tour discussed...Ch. 6 - For the weighted graph shown in Fig.6-47, find the...Ch. 6 - For Darrens sales trip problem discussed in...Ch. 6 - For the Platonic Cowboys concert tour discussed in...Ch. 6 - A rover on the planet Mercuria has to visit six...Ch. 6 - A robotic laser must drill holes on five sites A,...Ch. 6 - Prob. 55ECh. 6 - Prob. 56ECh. 6 - Suppose that in solving a TSP you find an...Ch. 6 - Prob. 58ECh. 6 - Prob. 59ECh. 6 - Prob. 60ECh. 6 - Prob. 61ECh. 6 - If the number of edges in K500 is x and the number...Ch. 6 - Explain why the cheapest edge in any graph is...Ch. 6 - a. Explain why the graph that has a bridge cannot...Ch. 6 - Julie is the marketing manager for a small...Ch. 6 - 66. m by n grid graphs. An m by n grid graph...Ch. 6 - Complete bipartite graphs. A complete bipartite...Ch. 6 - Prob. 68ECh. 6 - Diracs theorem. If G is a connected graph with N...
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- Find the connected components of the graph: G = (V, E). V = {a, b, c, d, e, f, g, h, i, j}. E = {{f.h}, {e,d}, {c,b}, {i.j}, {a,b}, {i.f}. {f.j} }arrow_forwardQ19C. Given the graph with the following vertices and edges: V = {a, b, c, d, e, f, g} E = {{a, b}, {a, c}, {a, f}, {b, c}, {b, f}, {c, d}, {c, g}, {d, e}, {d, f}, {f, g}} b a C L d e g How many edges must be removed to form a spanning tree of the graph? Aarrow_forwardSolve the problem. The following graph Select one: a. B ← E e. F none of these b. has no Hamilton circuit. C. has several Hamilton circuits, none of which contain the edge BE. d. has several Hamilton circuits, all of which contain the edge CE. has a single Hamilton circuit (and its mirror-image circuit). -OHarrow_forward
- I need help with the following graph.arrow_forwardFor which of the two situations below is it desirable to find an Euler circuit or an efficient eulerization of a graph I. After a storm, a health department worker inspects all the houses of a small village to check for damage. II. A veteran planning a visit to all the war memorials in Washington, D.C., plots a route to follow.arrow_forwardRefer 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.) (b) Which of the circuits for A. The circuit that star TL--:-mid 1141 and the total weight is and the total weight is and the total weight is otal weight is tal weight is C-B-A-D-E-C C-E-A→D-B-C C-A ED-B-C ... C-D-A-E-B-C B 13 15 60 A 6/ (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. 57 7 14 9 8 DE 12 D on to the problem of finding a minimum Hamilton circuit for the graph? Select all that apply. Nextarrow_forward
- Compute L3 and R3 for graphs A and B.arrow_forward24. What is the line graph of cycle C9? B. Ps B. Cs C. P9 D. C9arrow_forwardConsider the following rooms from a hotel: D2 Room 217 Room 218 D1 D3 Hallway D6 D4 Room 318 Room 317 D5 A. Please draw a graph that shows how the various rooms are connected to each-other by doorways (count the Hallway as a normal room) B. Please give a walk from room 217 to room 318 that is not a trail. c. Is there an Euler circuit through these rooms? 1.e., is it possible to walk around the rooms, starting and ending in the same room, and visiting every room while passing through each door exactly once? Please give such a circuit, if one exists, or say how you know that no such circuit exists.arrow_forward
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