A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory

Front Cover
World Scientific, 2002 - Mathematics - 406 pages
This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of exercises, ranging in difficulty from "routine" to "worthy of independent publication, " is included. In each section, there are also exercises that contain material not explicitly discussed in the text before, so as to provide instructors with extra choices if they want to shift the emphasis of their course.

It goes without saying that the text covers the classic areas, i.e. combinatorial choice problems and graph theory. What is unusual, for an undergraduate textbook, is that the author has included a number of more elaborate concepts, such as Ramsey theory, the probabilistic method and -- probably the first of its kind -- pattern avoidance. While the reader can only skim the surface of these areas, the author believes that they are interesting enough to catch the attention of some students. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

 

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Contents

IV
1
V
3
VI
10
VII
11
VIII
12
IX
19
X
25
XI
26
LVII
196
LVIII
200
LX
207
LXI
214
LXII
218
LXIII
221
LXIV
226
LXV
229

XII
28
XIII
29
XIV
37
XV
40
XVI
43
XVII
47
XVIII
51
XIX
52
XX
65
XXIV
70
XXV
73
XXVI
75
XXVII
78
XXVIII
79
XXIX
89
XXX
91
XXXI
94
XXXII
100
XXXIII
102
XXXIV
103
XXXV
109
XXXVI
110
XXXVII
116
XXXVIII
120
XXXIX
123
XLI
131
XLIII
134
XLIV
138
XLV
139
XLVI
140
XLVII
145
XLVIII
160
XLIX
168
L
169
LI
171
LII
183
LIII
184
LIV
188
LV
190
LVI
193
LXVI
230
LXVII
239
LXVIII
241
LXIX
246
LXX
252
LXXI
254
LXXII
258
LXXIII
259
LXXIV
260
LXXV
265
LXXVII
268
LXXVIII
275
LXXIX
278
LXXXI
279
LXXXII
283
LXXXIII
289
LXXXIV
292
LXXXV
293
LXXXVI
295
LXXXVII
296
LXXXVIII
301
LXXXIX
313
XC
324
XCI
326
XCII
327
XCIII
339
XCIV
343
XCV
345
XCVI
358
XCVII
361
XCVIII
362
XCIX
369
C
374
CI
383
CII
390
CIII
392
CIV
393
CV
401
CVI
403
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