Discrete Mathematics with Graph Theory3rd EditionEdgar G. Goodaire Publisher: Prentice HallISBN: 9780131679955
Discrete Mathematics with Graph Theory
Solutions for Discrete Mathematics with Graph Theory
Problem 1TFQ:
pandq is false if pandq are false.Problem 2TFQ:
If pandq is false, then both pandq are false.Problem 5TFQ:
The implication If 22=5, then 32=9 is true.Problem 6TFQ:
The negation of a=b=0 is ab0.Problem 7TFQ:
The converse of the implication in Question 5 is true.Problem 10TFQ:
The statement Some frogs have red toes makes use of the universal quantifier for all.Problem 1E:
Classify each of the following statements as true, false, or not valid mathematical statement.
An...Problem 2E:
Classify each of the following statements as true, false, or not valid mathematical statement....Problem 3E:
3. Rewrite each of the following statements so that it is clear that each is an implication.
The...Problem 4E:
4. Determine whether each of the following implications is true or false.
If is even, then is...Problem 5E:
Write down the negation of each of the following statements in clear and concise English. Do not use...Problem 6E:
6. Write down the converse and contrapositive of each of the following statements.
If and are...Problem 7E:
Rewrite each of the following statements using the quantifiers for all(or for every) and there...Browse All Chapters of This Textbook
Chapter 0 - Yes, There Are Proofs!Chapter 0.1 - Compund StatementsChapter 0.2 - Proofs In MathematicsChapter 1 - LogicChapter 1.1 - Truth TablesChapter 1.2 - The Algebra Of PropositionsChapter 1.3 - Logical ArgumentsChapter 2 - Sets And RelationsChapter 2.1 - SetsChapter 2.2 - Operations On Sets
Chapter 2.3 - Binary RelationsChapter 2.4 - Equivalence RelationsChapter 2.5 - Partial OrdersChapter 3 - FunctionsChapter 3.1 - Basic TerminologyChapter 3.2 - Inverses And CompositionChapter 3.3 - One-to-one Correspondence And The Cardinality Of A SetChapter 4 - The IntegersChapter 4.1 - The Division AlgorithmChapter 4.2 - Divisibility And The Euclidean AlgorithmChapter 4.3 - Prime NumbersChapter 4.4 - CongruenceChapter 4.5 - Applications Of CongruenceChapter 5 - Induction And RecursionChapter 5.1 - Mathematical InductionChapter 5.2 - Recursively Defined SequencesChapter 5.3 - Solving Recurrence Relations; The Characteristic PolynomialChapter 5.4 - Solving Recurrence Relations; Generating FunctionsChapter 6 - Principles Of CountingChapter 6.1 - The Principle Of Inclusion-exclusionChapter 6.2 - The Addition And Multiplication RulesChapter 6.3 - The Pigeonhole PrincipleChapter 7 - Permutations And CombinationsChapter 7.1 - PermutationsChapter 7.2 - CombinationsChapter 7.3 - Elementary ProbabilityChapter 7.4 - Probability TheoryChapter 7.5 - RepetitionsChapter 7.6 - DerangementsChapter 7.7 - The Binomial TheoremChapter 8 - AlgorithmsChapter 8.1 - What Is An Algorithm?Chapter 8.2 - ComplexityChapter 8.3 - Searching And SortingChapter 8.4 - Enumeration Of Permutations And CombinationsChapter 9 - GraphsChapter 9.1 - A Gentle IntroductionChapter 9.2 - Definitions And Basic PropertiesChapter 9.3 - IsomorphismChapter 10 - Paths And CircuitsChapter 10.1 - Eulerian CircuitsChapter 10.2 - Hamiltonian CyclesChapter 10.3 - The Adjacency MatrixChapter 10.4 - Shortest Path AlgorithmsChapter 11 - Applications Of Paths And CircuitsChapter 11.1 - The Chinese Postman ProblemChapter 11.2 - DigraphsChapter 11.3 - Rna ChainsChapter 11.4 - TournamentsChapter 11.5 - Scheduling ProblemsChapter 12 - TreesChapter 12.1 - Trees And Their PropertiesChapter 12.2 - Spanning TreesChapter 12.3 - Minimum Spanning Tree AlgorithmsChapter 12.4 - Acyclic Digraphs And Bellman's AlgorithmChapter 12.5 - Depth-first SearchChapter 12.6 - The One-way Street ProblemChapter 13 - Planar Graphs And ColoringsChapter 13.1 - Planar GraphsChapter 13.2 - Coloring GraphsChapter 13.3 - Circuit Testing And Facilities DesignChapter 14 - The Max Flow - Min Cut TheoremChapter 14.1 - Flows And CutsChapter 14.2 - Constructing Maximal FlowsChapter 14.3 - ApplicationsChapter 14.4 - Matchings
Book Details
Far more "user friendly" than the vast majority of similar books, this volume is truly written with the unsophisticated reader in mind. The pace is leisurely, but the authors are rigorous and maintain a serious attitude towards theorem proving throughout. Emphasizes "Active Reading" throughout, a skill vital to success in learning how to write proofs. Offers two sections on probability (2.4 and 2.5). Moves material on depth-first search, which previously comprised an entire (very short) chapter, to an earlier chapter where it fits more naturally. Rewrites section on RNA chains to include a new (and easier) algorithm for the recovery of an RNA chain from its complete enzyme digest. Provides true/false questions (with all answers in the back of the book) in every section. Features an appendix on matrices. A useful reference for mathematics enthusiasts who want to learn how to write proofs.
Sample Solutions for this Textbook
We offer sample solutions for Discrete Mathematics with Graph Theory homework problems. See examples below:
More Editions of This Book
Corresponding editions of this textbook are also available below:
Discrete Mathematics With Graph Theory With Discrete Math Workbook: Interactive Exercises (3rd Edition)
3rd Edition
ISBN: 9780132245883
Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)
3rd Edition
ISBN: 9780134689555
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