BuyFind*arrow_forward*

4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5.4, Problem 1EE

Textbook Problem

6 views

A one-way road ends at a two-way street. The intersection and the different possible traffic routes are shown in the figure below. The one-way road has a left-turn light. Represent the traffic routes with a graph and use graph coloring to determine the minimum number of stages required for a light cycle.

To determine

The minimum number of stages required for a light cycle using graph colouring.

**Given information:**

The intersection and the different possible routes are shown in the following figure.

Let us draw a graph to represent the traffic patterns.

Mathematical Excursions (MindTap Course List)

Show all chapter solutions

Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - A pen-tracing puzzle is given. See if you can find...Ch. 5.1 - Explain why the following pen-tracing puzzle is...Ch. 5.1 - Transportation An X in the table below indicates a...Ch. 5.1 - Transportation The table below shows the nonstop...Ch. 5.1 - Social Network A group of friends is represented...Ch. 5.1 - Baseball The local Little League baseball teams...Ch. 5.1 - Determine (a) the number of edges in the graph,...

Ch. 5.1 - Determine (a) the number of edges in the graph,...Ch. 5.1 - Determine (a) the number of edges in the graph,...Ch. 5.1 - Determine (a) the number of edges in the graph,...Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Determine whether the two graphs are equivalent.Ch. 5.1 - Explain why the following two graphs cannot be...Ch. 5.1 - Label the vertices of the second graph so that it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - (a) determine whether the graph is Eulerian. If it...Ch. 5.1 - Parks in Exercises 23 and 24, a map of a park is...Ch. 5.1 - Parks in Exercises 23 and 24, a map of a park is...Ch. 5.1 - Transportation For the train routes given in...Ch. 5.1 - Transportation For the direct air flights given in...Ch. 5.1 - Pets The diagram below shows the arrangement of a...Ch. 5.1 - Transportation A subway map is shown below. Is it...Ch. 5.1 - Architecture, a floor plan of a museum is shown....Ch. 5.1 - Architecture, a floor plan of a museum is shown....Ch. 5.1 - Degrees of Separation In the graph below, an edge...Ch. 5.1 - Social Network In the graph below, an edge...Ch. 5.1 - Bridges of a Graph An edge of a connected graph is...Ch. 5.1 - Travel A map of South America is shown at the...Ch. 5.2 - Continue investigating Hamiltonian circuits in...Ch. 5.2 - Use the greedy algorithm and the weighted graph...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Use Dirac's theorem to verify that the graph is...Ch. 5.2 - Transportation For the train routes given in...Ch. 5.2 - Transportation For the direct air flights given in...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use trial and error to find two Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the greedy algorithm to find a Hamiltonian...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Use the edge-picking algorithm to find a...Ch. 5.2 - Travel A company representative lives in...Ch. 5.2 - Travel A tourist is staying in Toronto, Canada,...Ch. 5.2 - Travel Use the edge-picking algorithm to design a...Ch. 5.2 - Travel Use the edge-picking algorithm to design a...Ch. 5.2 - Travel Nicole wants to tour Asia. She will start...Ch. 5.2 - Travel The prices for traveling between five...Ch. 5.2 - Travel Use the edge-picking algorithm to find a...Ch. 5.2 - Travel Use the edge-picking algorithm to find a...Ch. 5.2 - Route Planning Brian needs to visit the pet store,...Ch. 5.2 - Route Planning A bike messenger needs to deliver...Ch. 5.2 - Scheduling A research company has a large...Ch. 5.2 - Computer Networks A small office wishes to network...Ch. 5.2 - Route Planning A security officer patrolling a...Ch. 5.2 - Route Planning A city engineer needs to inspect...Ch. 5.2 - Draw a connected graph with six vertices that has...Ch. 5.2 - Assign weights to the edges of the following...Ch. 5.3 - The tetrahedron in figure 5.20 consists of four...Ch. 5.3 - The following graph is the projection of one ofthe...Ch. 5.3 - If we form a graph by a projection of the...Ch. 5.3 - Give a reason why the graph below Cannot be the...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is planar by finding a planar...Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the graph is not planar.Ch. 5.3 - Show that the following graph contracts to K5.Ch. 5.3 - Show that the following graph contracts to the...Ch. 5.3 - Show that the graph is not planar by finding a...Ch. 5.3 - Show that the graph is not planar by finding a...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - Count the number of vertices, edges, and faces,...Ch. 5.3 - If a planar drawing of a graph has 15 edges and 8...Ch. 5.3 - If a planar drawing of a graph has 100 vertices...Ch. 5.3 - Sketch a planar graph (without multiple edges or...Ch. 5.3 - Sketch a planar graph (without multiple edges or...Ch. 5.3 - Explain why it is not possible to draw a planar...Ch. 5.3 - If a planar drawing of a graph has twice as many...Ch. 5.3 - Show that the complete graph with five vertices,...Ch. 5.3 - Dual Graph Every planar graph has what is called a...Ch. 5.4 - A one-way road ends at a two-way street. The...Ch. 5.4 - A one-way road intersects a two-way road in a...Ch. 5.4 - A two-way road intersects another two-way road in...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring A fictional map of the countries of a...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Map Coloring Represent the map by a graph and find...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Show that the graph is 2-colorable by finding a...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Determine (by trial and error) the chromatic...Ch. 5.4 - Scheduling Six student clubs need to hold meetings...Ch. 5.4 - Scheduling Eight political committees must meet on...Ch. 5.4 - Scheduling Six different groups of children would...Ch. 5.4 - Scheduling Five different charity organizations...Ch. 5.4 - Scheduling Students in a film class have...Ch. 5.4 - Animal Housing A researcher has discovered six new...Ch. 5.4 - Wi-Fi Stations An office building is installing...Ch. 5.4 - Map Coloring Draw a map of a fictional continent...Ch. 5.4 - If the chromatic number of a graph with five...Ch. 5.4 - Edge Coloring In this section, we colored vertices...Ch. 5.4 - Scheduling Edge colorings, as explained in...Ch. 5 - (a) determine the number of edges in the graph,...Ch. 5 - (a) determine the number of edges in the graph,...Ch. 5 - Soccer In the table below, an X indicates teams...Ch. 5 - Each vertex in the graph at the left represents a...Ch. 5 - Determine whether the two graphs are equivalent.Ch. 5 - Determine whether the two graphs are equivalent.Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Find an Euler path if possible, and (b) find an...Ch. 5 - Parks The figure shows an arrangement of bridges...Ch. 5 - Architecture The floor plan of a sculpture gallery...Ch. 5 - Use Dirac's theorem to verify that the graph is...Ch. 5 - Use Dirac's theorem to verify that the graph is...Ch. 5 - Travel The table below lists cities serviced by a...Ch. 5 - Travel For the direct flights given in Exercise...Ch. 5 - Use the greedy algorithm to find a Hamiltonian...Ch. 5 - Use the greedy algorithm to find a Hamiltonian...Ch. 5 - Use the edge-picking algorithm to find a...Ch. 5 - Use the edge-picking algorithm to find a...Ch. 5 - Efficient Route The distances, in miles, between...Ch. 5 - Computer Networking A small office needs to...Ch. 5 - Show that the graphs is planar by finding a planar...Ch. 5 - Show that the graphs is planar by finding a planar...Ch. 5 - Show that the graph is not planar.Ch. 5 - Show that the graph is not planar.Ch. 5 - Count the number of vertices, edges, and faces in...Ch. 5 - Count the number of vertices, edges, and faces in...Ch. 5 - Map Coloring, a fictional map is given showing the...Ch. 5 - Map Coloring, a fictional map is given showing the...Ch. 5 - Show that the graph is 2-colorable by finding a...Ch. 5 - Show that the graph is 2-colorable by finding a...Ch. 5 - Determine (by trial and error) the chromatic...Ch. 5 - Determine (by trial and error) the chromatic...Ch. 5 - Scheduling A company has scheduled a retreat at a...Ch. 5 - Social Network Each vertex in the graph at the...Ch. 5 - Determine whether the following two graphs are...Ch. 5 - Answer the following questions for the graph shown...Ch. 5 - Recreation The illustration below depicts bridges...Ch. 5 - a. What does Dirac's theorem state? Explain how it...Ch. 5 - Low-Cost Route The table below shows the cost of...Ch. 5 - Use the greedy algorithm to find a Hamiltonian...Ch. 5 - Sketch a planar drawing of the graph below. Show...Ch. 5 - Answer the following questions for the graph shown...Ch. 5 - Map Coloring A fictional map of the countries of a...Ch. 5 - For the graph shown below, find a 2-coloring of...Ch. 5 - A group of eight friends is planning a vacation in...

Find more solutions based on key concepts

Show solutions In problems 1-4, solve the equations 102(2x9)4(6+x)=52

Mathematical Applications for the Management, Life, and Social Sciences

SOC At St. Algebra College, the sociology and psychology departments have been feuding for years about the resp...

Essentials Of Statistics

Evaluate the iterated integral. 5. 010s2cos(s3)dtds

Multivariable Calculus

Expand each expression in Exercises 122. (x+1)(x3)

Applied Calculus

Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in ...

Probability and Statistics for Engineering and the Sciences

In Exercises 19-24, find the functions f + g, f g, fg, and fg. 21. f(x) =x+3; g(x) = 1x1

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Use Greens Theorem to evaluate cFdr. Check the orientation of the curve before applying the theorem. F(x,y)=ex+...

Calculus (MindTap Course List)

To evaluate the effect of a treatment, a sample of n=8 is obtained from a population with a mean of =40 , and t...

Statistics for The Behavioral Sciences (MindTap Course List)

Finding a Derivative In Exercises 81-86, find F'(x). F(x)=xxt3dt

Calculus: Early Transcendental Functions

A sample with a mean of M = 8 has X = 56. How many scores are in the sample?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics and Applied Calculus (MindTap Course List)

A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a length of 15 c...

Single Variable Calculus: Early Transcendentals, Volume I

For Problems 1-50, solve each equation. Objective 1 4=2x6

Intermediate Algebra

Factoring Factor the expression completely. 36. w3 3w2 4w + 12

Precalculus: Mathematics for Calculus (Standalone Book)

Find a formula for the described function and state its domain. 58. A rectangle has area 16 m2. Express the per...

Single Variable Calculus

Determine whether each integral is convergent or divergent. Evaluate those that are convergent. 28. 0515x3dx

Calculus: Early Transcendentals

Basic Computation: Finding Areas Under the Standard Normal Curve In Problems 13-30, sketch the areas under the ...

Understanding Basic Statistics

Environmental Cost The cost C (in millions of dollars) of removing x percent of the pollutants emitted from the...

Calculus: An Applied Approach (MindTap Course List)

The area of a rectangle is 307 ft2. The length is 22.4 ft. Find the width.

Elementary Technical Mathematics

Express each of the numbers in Exercises 7-12 as a quotient of integers, reduce to lowest terms.

Elements Of Modern Algebra

Round the following numbers to the indicated place.
21. $688.75 to dollars

Contemporary Mathematics for Business & Consumers

Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct to six dec...

Single Variable Calculus: Early Transcendentals

Graph one complete cycle of each of the following. In each case, label the axes accurately and identify the amp...

Trigonometry (MindTap Course List)

Complete each statement: a In RSTV, RW is the ________ from vertex R to base VT. b If RW of figure a is congrue...

Elementary Geometry For College Students, 7e

Prove that if a line L1 with slope m1 is perpendicular to a line L2 with slope m2, then m1m2=1. Hint: Refer to ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Tangent Lines at the Pole In Exercises 73-80, sketch a graph of the polar equation and find the tangent line(s)...

Calculus of a Single Variable

Use a compass to draw a circle. Draw a radius, a line segment that connects the center to a point on the circle...

Elementary Geometry for College Students

Using the Second Partials Test Use the Second Partials Test to verify that the formulas for a and b given in Th...

Calculus: Early Transcendental Functions (MindTap Course List)

Find y. All dimensions are in millimeters

Mathematics For Machine Technology

Evaluating the Derivative of an Inverse Function In Exercises 63-70, verify that f has an inverse function. The...

Calculus (MindTap Course List)

A blood lead level of 70 mg/ml has been commonly accepted as safe. However, researchers have noted that some ne...

Introduction To Statistics And Data Analysis

Riding in a taxi A taxicab company charges 4 for a trip up to 1 mile, and 2 for every extra mile or portion of ...

College Algebra (MindTap Course List)

In Figure 11.5, we show three combinations of main effects and interactions for a 2 2 factorial design. Using ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Mutual funds are classified as load or no-load funds. Load funds require an investor to pay an initial fee base...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

ex(ex)2 = a) ex3 b) e3x c) 3ex d) e4x

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Using Lagrange Multipliers In Exercises 3138, use Lagrange multipliers to solve the indicated exercise in Secti...

Multivariable Calculus

True or False:
If a number p is in the interval of convergence of then so is the number .

Study Guide for Stewart's Multivariable Calculus, 8th

Explain how the purpose of a correctional study differs from the purpose of an experimental study.

Research Methods for the Behavioral Sciences (MindTap Course List)

The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading (The W...

Statistics for Business & Economics, Revised (MindTap Course List)

A spanning tree for a graph G is .

Discrete Mathematics With Applications

In Exercises 33-54, solve the given equation. The solution of every other odd-numbered exercise is given in the...

Mathematics: A Practical Odyssey

Systems That May Be Solved by Hand or With Technology The system of equations in Exercises S-7 through S-22may ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Healthy Sleep Duration. The Centers for Disease Control and Prevention (CDC) define a healthy sleep duration to...

Essentials Of Statistics For Business & Economics