Introductory Discrete Mathematics Balakrishnan V.K. in pdf
this is the book Introductory Discrete Mathematics in pdf written by Balakrishnan V.K, published by Dover Publications, 2012 of professors of science faculties universities .
Information about the book
Language of the book: English language
Book Title: Introductory Discrete Mathematics
Scriptwriter: by Balakrishnan V.K
Year of printing: Dover Publications, 2012
File Format:PDF
Number of chapters: 10 CHAPTER
Number of chapters: 10 CHAPTER
Number of pages: 171 pages
File Size: 5,37 MB
Contents
Introduction to Set Theory
Functions and Relations
Inductive Proofs and Recursive Definitions
The Language of Logic
Notes and References
Exercises
Two Basic Counting Rules
Permutations
Combinations
More on Permutations and Combinations
The Pigeonhole Principle
The Inclusion-Exclusion Principle
Summary of Results in Combinatorics
Notes and References
Exercises
Ordinary Generating Functions
Exponential Generating Functions
Exercises
Homogeneous Recurrence Relations
Inhomogeneous Recurrence Relations
Recurrence Relations and Generating Functions
Analysis of Algorithms
Exercises
Adjacency Matrices and Incidence Matrices
Joining in Graphs
Reaching in Digraphs
Testing Connectedness
Notes and References
Exercises
Eulerian Paths and Eulerian Circuits
Coding and de Bruijn Digraphs
Hamiltonian Paths and Hamiltonian Cycles
Applications of Hamiltonian Cycles
Vertex Coloring and Planarity of Graphs
Notes and References
Exercises
Definitions and Properties
Spanning Trees
Binary Trees
Notes and References
Exercises
More on Spanning Trees
Kruskal’s Greedy Algorithm
Prim’s Greedy Algorithm
Exercises
Dijkstra’s Algorithm
Floyd-Warshall Algorithm
Comparison of the Two Algorithms
Exercises
l Problems and Their Instances
The Size of an Instance
Complexity of an Algorithm
The Big Oh’’ or the O(-) Notation\t
Easy Problems and Difficult Problems
The Class P and the Class NP
Polynomial Transformations and NP-Completeness
Coping with Hard Problems
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