Discrete and Computational Geometry: The Goodman-Pollack Festschrift

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Boris Aronov, Saugata Basu, Janos Pach, Micha Sharir
Springer Science & Business Media, Jun 23, 2003 - Mathematics - 853 pages
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An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

 

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Contents

I
1
II
25
III
43
IV
65
V
77
VI
139
VII
157
VIII
177
XXII
489
XXIII
509
XXIV
527
XXV
551
XXVI
571
XXVII
597
XXVIII
633
XXIX
651

IX
203
X
235
XI
253
XII
275
XIII
301
XIV
313
XV
329
XVI
347
XVII
379
XVIII
405
XIX
425
XX
441
XXI
461
XXX
665
XXXI
673
XXXII
695
XXXIII
699
XXXIV
737
XXXV
751
XXXVI
767
XXXVII
789
XXXVIII
799
XXXIX
825
XL
829
XLI
849
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