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Convex bipartite graph

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447: 407: 365: 419: 379: 488: 371: 517: 292:(August 1981). "Efficient algorithms for finding maximum matchings in convex bipartite graphs and related problems". 512: 481: 507: 395: 474: 289: 319: 275: 411: 415: 375: 344: 309: 301: 29: 458: 400: 349: 332: 501: 323: 454: 21: 17: 333:"Bipartite permutation graphs with application to the minimum buffer size problem" 53: 177: 305: 314: 446: 462: 399: 127:) be a bipartite graph, i.e., the vertex set is 32:with specific properties. A bipartite graph, ( 482: 8: 44:), is said to be convex over the vertex set 331:Ten-hwang Lai; Shu-shang Wei (April 1997). 75:is defined analogously. A bipartite graph ( 489: 475: 398:; Van Bang Le; Jeremy P. Spinrad (1999). 348: 313: 156:) denote the neighborhood of a vertex 7: 443: 441: 14: 445: 432:convex if there is an ordering. 367:Efficient graph representations 176:if and only if there exists a 1: 350:10.1016/S0166-218X(96)00014-5 461:. You can help Knowledge by 337:Discrete Applied Mathematics 87:) that is convex over both 534: 440: 364:Jeremy P. Spinrad (2003). 64:the vertices adjacent to 374:Bookstore. p. 128. 402:Graph classes: a survey 225:there does not exist a 200:, for any two vertices 457:-related article is a 192:|}, such that for all 26:convex bipartite graph 188: → {1, …, | 143: = ∅. Let 290:Franco P. Preparata 518:Graph theory stubs 396:Andreas Brandstädt 306:10.1007/BF00264533 276:Convex plane graph 56:such that for all 470: 469: 421:978-0-89871-432-6 381:978-0-8218-2815-1 258:) <  250:) <  107:Formal definition 68:are consecutive. 525: 513:Bipartite graphs 491: 484: 477: 449: 442: 434: 429: 428: 405: 391: 389: 388: 360: 358: 357: 352: 327: 317: 294:Acta Informatica 533: 532: 528: 527: 526: 524: 523: 522: 498: 497: 496: 495: 438: 426: 424: 422: 394: 386: 384: 382: 363: 355: 353: 330: 288:W. Lipski Jr.; 287: 284: 272: 237: 216: 151: 109: 71:Convexity over 30:bipartite graph 12: 11: 5: 531: 529: 521: 520: 515: 510: 508:Graph families 500: 499: 494: 493: 486: 479: 471: 468: 467: 450: 436: 435: 420: 392: 380: 361: 328: 300:(4): 329–346. 283: 280: 279: 278: 271: 268: 233: 221:) ⊆  212: 147: 115: = ( 108: 105: 95:is said to be 13: 10: 9: 6: 4: 3: 2: 530: 519: 516: 514: 511: 509: 506: 505: 503: 492: 487: 485: 480: 478: 473: 472: 466: 464: 460: 456: 451: 448: 444: 439: 433: 423: 417: 413: 409: 404: 403: 397: 393: 383: 377: 373: 369: 368: 362: 351: 346: 342: 338: 334: 329: 325: 321: 316: 311: 307: 303: 299: 295: 291: 286: 285: 281: 277: 274: 273: 269: 267: 265: 261: 257: 253: 249: 245: 241: 236: 232: 229: ∉  228: 224: 220: 215: 211: 208: ∈  207: 203: 199: 196: ∈  195: 191: 187: 183: 179: 175: 171: 167: 164:. The graph 163: 160: ∈  159: 155: 150: 146: 142: 139: ∩  138: 134: 131: ∪  130: 126: 122: 119: ∪  118: 114: 106: 104: 102: 101:doubly convex 98: 94: 90: 86: 82: 79: ∪  78: 74: 69: 67: 63: 60: ∈  59: 55: 51: 47: 43: 39: 36: ∪  35: 31: 27: 23: 19: 463:expanding it 455:graph theory 452: 437: 431: 425:. Retrieved 401: 385:. Retrieved 366: 354:. Retrieved 343:(1): 33–55. 340: 336: 297: 293: 263: 259: 255: 251: 247: 243: 242:) such that 239: 234: 230: 226: 222: 218: 213: 209: 205: 201: 197: 193: 189: 185: 181: 173: 169: 165: 161: 157: 153: 148: 144: 140: 136: 132: 128: 124: 120: 116: 112: 110: 100: 96: 92: 88: 84: 80: 76: 72: 70: 65: 61: 57: 49: 45: 41: 37: 33: 25: 22:graph theory 18:mathematical 15: 502:Categories 427:2009-07-20 410:. p.  387:2009-07-20 356:2009-07-20 315:2142/74215 282:References 54:enumerated 180:mapping, 178:bijective 20:field of 324:39361123 270:See also 97:biconvex 184::  123:,  83:,  52:can be 40:,  16:In the 418:  378:  322:  170:convex 135:where 453:This 320:S2CID 172:over 28:is a 459:stub 416:ISBN 408:SIAM 376:ISBN 111:Let 91:and 24:, a 372:AMS 345:doi 310:hdl 302:doi 266:). 168:is 99:or 48:if 504:: 430:. 414:. 412:94 406:. 370:. 341:74 339:. 335:. 318:. 308:. 298:15 296:. 103:. 490:e 483:t 476:v 465:. 390:. 359:. 347:: 326:. 312:: 304:: 264:y 262:( 260:f 256:z 254:( 252:f 248:x 246:( 244:f 240:v 238:( 235:G 231:N 227:z 223:U 219:v 217:( 214:G 210:N 206:y 204:, 202:x 198:V 194:v 190:U 186:U 182:f 174:U 166:G 162:V 158:v 154:v 152:( 149:G 145:N 141:V 137:U 133:V 129:U 125:E 121:V 117:U 113:G 93:V 89:U 85:E 81:V 77:U 73:V 66:v 62:V 58:v 50:U 46:U 42:E 38:V 34:U

Index

mathematical
graph theory
bipartite graph
enumerated
bijective
Convex plane graph
Franco P. Preparata
doi
10.1007/BF00264533
hdl
2142/74215
S2CID
39361123
"Bipartite permutation graphs with application to the minimum buffer size problem"
doi
10.1016/S0166-218X(96)00014-5
Efficient graph representations
AMS
ISBN
978-0-8218-2815-1
Andreas Brandstädt
Graph classes: a survey
SIAM
94
ISBN
978-0-89871-432-6
Stub icon
graph theory
stub
expanding it

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