Applied combinatorics

Explains how to reason and model combinatorially. Enables students to develop proficiency in fundamental discrete math problem solving in the manner that a calculus textbook develops competence in basic analysis problem solving. Stresses the systematic analysis of different possibilities, exploration of the logical structure of a problem and ingenuity. This edition contains many new exercises. 1. Elements Of Graph Theory -- 2. Covering Circuits And Graph Coloring -- 3. Trees And Searching -- 4. Network Algorithms -- 5. Generating Counting Methods For Selections And Arrangements -- 6. Generating Functions -- 7. Recurrence Relations -- 8. Inclusion-exclusion -- 9. Polya's Enumeration Formula -- 10. Games With Graphs -- App. 1. Set Theory And Logic -- App. 2. Mathematical Induction -- App. 3. A Little Probability -- App. 4. The Pigeonhole Principle. Alan Tucker. Includes Bibliographical References (p. 429-430) And Index. "Alan Tucker's newest issue of Applied Combinatorics builds on the previous editions with more in depth analysis of computer systems in order to help develop proficiency in basic discrete math problem solving. As one of the most widely used book in combinatorial problems, this edition explains how to reason and model combinatorically while stressing the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity"-- Intended for second/third year courses in combinatorics or discrete structures/methods, this text seeks to develop the problem-solving skills in applied combinatorial mathematics which are necessary in computer science and decision science fields such as operations research.