Graph Theory

Designed for the non-specialist, this classic text by a world expert is an invaluable reference tool for those interested in a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding both as a text and reference for graduate students and researchers in graph theory and its applications. The author approaches the subject with a lively writing style. The reader will delight to discover that the topics in this book are coherently unified and include some of the deepest and most beautiful developments in graph theory.

List of figures

xii

List of tables

xiv

Preface

xvii

List of abbreviations

xix

Introduction

1

(8)

The special interest of number

1

(2)

Comparing like with like

3

(3)

Structure of the book

6

(1)

Presentation

7

(2)

Meaning distinctions

9

(45)

General number

9

(10)

Number values

19

(19)

Number systems (the Number Hierarchy and associated problems)

38

(12)

Languages without number

50

(1)

Approaches in formal semantics

51

(1)

Conclusion

52

(2)

Items involved in the nominal number system

54

(35)

The Animacy Hierarchy

55

(1)

The hierarchy positions

56

(10)

Marking and agreement

66

(4)

Optionality

70

(5)

Morphological effects

75

(3)

Count and mass

78

(5)

Semantic effects

83

(4)

Conclusion

87

(2)

Integrating number values and the Animacy Hierarchy

89

(44)

Extending the Animacy Hierarchy to other number values

90

(5)

Minor numbers

95

(6)

Associatives

101

(10)

Distributives and collectives

111

(9)

Top and second systems

120

(12)

Conclusion

132

(1)

The expression of number

133

(45)

Number words

133

(3)

Syntax

136

(2)

Morphology

138

(17)

Lexical means

155

(4)

Inverse number (and polarity)

159

(7)

Minimal-augmented systems

166

(3)

`Constructed' numbers

169

(2)

Reduced expression of number

171

(6)

Conclusion

177

(1)

The syntax of number

178

(41)

Controller versus target number

178

(10)

The Agreement Hierarchy and `corporate' nouns in English

188

(3)

Associatives (syntactic)

191

(2)

Honorifics (in Slavonic)

193

(2)

Conjoined noun phrases

195

(12)

Arabic (agreement with plural noun phrases)

207

(4)

Agreement with quantified expressions (mainly in Slavonic)

211

(5)

Constraints on agreement systems

216

(2)

Conclusion

218

(1)

Other uses of number

219

(24)

Honorifics and related uses

220

(8)

Unexpected feature values in coordination

228

(6)

Special uses

234

(8)

Conclusion

242

(1)

Verbal number

243

(22)

The geographical extent of verbal number

245

(1)

The meaning of verbal number

245

(6)

Locus

251

(1)

Diagnostics for verbal number

252

(5)

Items involved in the verbal number system

257

(1)

Expression of verbal number

258

(2)

Other uses

260

(1)

Motivation for the asymmetries

261

(3)

Conclusion

264

(1)

Conclusion and new challenges

265

(34)

Diachrony

265

(6)

Interactions

271

(9)

Use of number

280

(14)

The acquisition of number

294

(1)

The psycholinguistics of number

295

(3)

The final note

298

(1)

References

299

(44)

Author index

343

(8)

Language index

351

(5)

Subject index

356

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Summary

Table of Contents

Supplemental Materials

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Graph Theory

Summary

Table of Contents

Supplemental Materials

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