The.Algorithm.Design.Manual.Springer-Verlag.1998
The.Algorithm.Design.Manual.Springer-Verlag.1998 The.Algorithm.Design.Manual.Springer-Verlag.1998
1.3.5 Generating Subsets 1.3.5 Generating Subsets INPUT OUTPUT Input Description: An integer n . Problem: Generate (1) all, or (2) a random, or (3) the next subset of the integers 1 to n . Implementations ● Nijenhuis and Wilf: Combinatorial Algorithms (FORTRAN) (rating 8) ● Combinatorica (Mathematica) (rating 7) ● Frank Ruskey's Combinatorial Generation Resources (Pascal) (rating 7) ● Netlib / TOMS -- Collected Algorithms of the ACM (FORTRAN) (rating 3) Related Problems file:///E|/WEBSITE/FILES/GSUBSETS.HTM (1 of 2) [19/1/2003 1:37:19]
1.3.5 Generating Subsets ● Generating Partitions ● Generating Permutations ● Random Number Generation ● Set Data Structures Go to the corresponding chapter in the book About the Book Send us Mail Go to Main Page This page last modified on Tue Jun 03, 1997 . file:///E|/WEBSITE/FILES/GSUBSETS.HTM (2 of 2) [19/1/2003 1:37:19]
- Page 1165 and 1166: 1.6.12 Simplifying Polygons 1.6.12
- Page 1167 and 1168: 1.6.13 Shape Similarity 1.6.13 Shap
- Page 1169 and 1170: 1.6.11 Polygon Partitioning 1.6.11
- Page 1171 and 1172: 1.4.3 Minimum Spanning Tree 1.4.3 M
- Page 1173 and 1174: 1.6.15 Maintaining Line Arrangement
- Page 1175 and 1176: 1.3.7 Generating Graphs 1.3.7 Gener
- Page 1177 and 1178: 1.2.11 Discrete Fourier Transform 1
- Page 1179 and 1180: 1.5.8 Edge Coloring 1.5.8 Edge Colo
- Page 1181 and 1182: 1.3.3 Median and Selection 1.3.3 Me
- Page 1183 and 1184: 1.3.1 Sorting 1.3.1 Sorting INPUT O
- Page 1185 and 1186: Plugins for use with the CDROM Plug
- Page 1187 and 1188: Implementation Challenges Next: Dat
- Page 1189 and 1190: Implementation Challenges Next: Gra
- Page 1191 and 1192: Implementation Challenges Next: Int
- Page 1193 and 1194: Caveats Next: Data Structures Up: A
- Page 1195 and 1196: 1.1.1 Dictionaries ● Priority Que
- Page 1197 and 1198: 1.1.4 Graph Data Structures ● Gra
- Page 1199 and 1200: 1.1.5 Set Data Structures ● Gener
- Page 1201 and 1202: 1.2.1 Solving Linear Equations ●
- Page 1203 and 1204: 1.2.2 Bandwidth Reduction ● Topol
- Page 1205 and 1206: 1.2.4 Determinants and Permanents
- Page 1207 and 1208: 1.2.8 Factoring and Primality Testi
- Page 1209 and 1210: 1.2.9 Arbitrary Precision Arithmeti
- Page 1211 and 1212: 1.2.10 Knapsack Problem ● Linear
- Page 1213 and 1214: 1.3.2 Searching ● Sorting Go to t
- Page 1215: 1.3.4 Generating Permutations ● C
- Page 1219 and 1220: 1.3.6 Generating Partitions ● Gen
- Page 1221 and 1222: 1.3.8 Calendrical Calculations Go t
- Page 1223 and 1224: 1.3.9 Job Scheduling ● Feedback E
- Page 1225 and 1226: 1.4.2 Topological Sorting Related P
- Page 1227 and 1228: 1.4.8 Edge and Vertex Connectivity
- Page 1229 and 1230: 1.4.10 Drawing Graphs Nicely ● Pl
- Page 1231 and 1232: 1.4.11 Drawing Trees ● Planarity
- Page 1233 and 1234: 1.4.12 Planarity Detection and Embe
- Page 1235 and 1236: 1.5.2 Independent Set ● Vertex Co
- Page 1237 and 1238: 1.5.3 Vertex Cover ● Independent
- Page 1239 and 1240: 1.5.4 Traveling Salesman Problem
- Page 1241 and 1242: 1.5.6 Graph Partition ● Network F
- Page 1243 and 1244: 1.5.7 Vertex Coloring Related Probl
- Page 1245 and 1246: 1.5.11 Feedback Edge/Vertex Set Go
- Page 1247 and 1248: 1.6.1 Robust Geometric Primitives G
- Page 1249 and 1250: 1.6.6 Range Search ● Kd-Trees ●
- Page 1251 and 1252: 1.6.8 Intersection Detection ● Ro
- Page 1253 and 1254: 1.6.16 Minkowski Sum Go to the corr
- Page 1255 and 1256: 1.7.1 Set Cover ● Set Packing ●
- Page 1257 and 1258: 1.7.2 Set Packing Go to the corresp
- Page 1259 and 1260: 1.7.3 String Matching ● Approxima
- Page 1261 and 1262: 1.7.4 Approximate String Matching
- Page 1263 and 1264: 1.7.5 Text Compression Go to the co
- Page 1265 and 1266: 1.7.6 Cryptography ● Text Compres
1.3.5 Generating Subsets<br />
1.3.5 Generating Subsets<br />
INPUT OUTPUT<br />
Input Description: An integer n .<br />
Problem: Generate (1) all, or (2) a random, or (3) the next subset of the integers 1 to n .<br />
Implementations<br />
● Nijenhuis and Wilf: Combinatorial <strong>Algorithm</strong>s (FORTRAN) (rating 8)<br />
● Combinatorica (Mathematica) (rating 7)<br />
● Frank Ruskey's Combinatorial Generation Resources (Pascal) (rating 7)<br />
● Netlib / TOMS -- Collected <strong>Algorithm</strong>s of the ACM (FORTRAN) (rating 3)<br />
Related Problems<br />
file:///E|/WEBSITE/FILES/GSUBSETS.HTM (1 of 2) [19/1/2003 1:37:19]
Change language