viii CONTENTS 13 Graph Theory 842 13. 1 Graphs, Paths, and Circuits 843 13. 2 Euler Paths and Euler Circuits 853 13. 3 Hamilton Paths and Hamilton Circuits 865 13. 4 Trees 877 Chapter Summary 888 Chapter Review Exercises 890 Chapter Test 893 14 Voting and Apportionment 895 14. 1 Voting Methods 896 14. 2 Flaws of the Voting Methods 913 14. 3 Apportionment Methods 928 14. 4 Flaws of the Apportionment Methods 945 Chapter Summary 953 Chapter Review Exercises 954 Chapter Test 957 ANSWERS A-1 INDEX OF APPLICATIONS I-1 INDEX I-9
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