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Richard Rado

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33: 590: 258:, a countably infinite graph containing all countably infinite graphs as induced subgraphs, is named after Rado. He rediscovered it in 1964 after previous works on the same graph by 391: 200: 610: 605: 304:. It gives an upper bound on the number of sets in a family of finite sets, all the same size, that all intersect each other. Rado published it with Erdős and 575: 580: 456: 585: 297: 110: 282: 434: 316: 188: 128: 274: 106: 600: 461: 270: 286: 114: 285:
is another Ramsey-theoretic result concerning systems of linear equations, proved by Rado in his thesis. The
324: 208: 92: 595: 419: 382: 228: 451: 570: 565: 204: 96: 191:(28 April 1906 – 23 December 1989) was a German-born British mathematician whose research concerned 447: 278: 173: 72: 263: 259: 487: 400: 347: 320: 150: 532: 339:
has a matroid structure and matchings must match to an independent set in the matroid on
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into subsets of small order-type; it was published by Rado and E. C. Milner in 1965.
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in 1961, but according to Erdős it was originally formulated in 1938.
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Berwick prizes page at The MacTutor History of Mathematics archive
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Joseph P.S. Kung, Gian-Carlo Rota, and Catherine H. Yan (2009),
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to infinite sets. It was published by Erdős and Rado in 1956.
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in 1933. He was appointed Professor of Mathematics at the
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Jewish emigrants from Nazi Germany to the United Kingdom
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R. Rado (1942), A theorem on independence relations,
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in 1954 and remained there until he retired in 1971.
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Biographical Memoirs of Fellows of the Royal Society
300:can be described either in terms of set systems or 165: 149: 141: 120: 102: 88: 80: 61: 42: 23: 346:The Klarner–Rado Sequence is named after Rado and 387:"Richard Rado. 28 April 1906-23 December 1989" 219:which provided financial support to study at 8: 315:theory, Rado proved a fundamental result of 480:Bulletin of the London Mathematical Society 215:for a scholarship given by the chemist Sir 199:. He was Jewish and left Germany to escape 20: 508:Quarterly Journal of Mathematics (Oxford) 491: 404: 611:Alumni of Fitzwilliam College, Cambridge 535:Michigan State University, MSU Librarie 457:MacTutor History of Mathematics Archive 371: 203:. He earned two PhDs: in 1933 from the 552:(London), 2 January 1990, p. 12. 377: 375: 7: 606:Humboldt University of Berlin alumni 576:20th-century British mathematicians 581:20th-century German mathematicians 211:. He was interviewed in Berlin by 14: 31: 358:In 1972, Rado was awarded the 1: 435:Mathematics Genealogy Project 586:Fellows of the Royal Society 521:Combinatorics: The Rota Way 239:Rado made contributions in 129:Fellow of the Royal Society 627: 493:10.1112/S0024609397003512 247:including 18 papers with 179: 134: 30: 462:University of St Andrews 271:combinatorial set theory 209:University of Cambridge 207:, and in 1935 from the 93:University of Cambridge 474:Rogers, C. A. (1998). 406:10.1098/rsbm.1991.0021 37:Richard Rado, ca. 1967 533:Klarner-Rado Sequence 510:, vol. 13, pp. 83–89. 298:ErdĹ‘s–Ko–Rado theorem 254:In graph theory, the 229:University of Reading 111:ErdĹ‘s–Ko–Rado theorem 16:British mathematician 448:Robertson, Edmund F. 360:Senior Berwick Prize 319:by generalizing the 205:University of Berlin 125:Senior Berwick Prize 97:University of Berlin 446:O'Connor, John J.; 287:Milner–Rado paradox 115:Milner–Rado paradox 354:Awards and honours 335:to the case where 317:transversal theory 275:ErdĹ‘s–Rado theorem 107:ErdĹ‘s–Rado theorem 260:Wilhelm Ackermann 183: 182: 166:Doctoral students 136:Scientific career 618: 548:"Richard Rado", 536: 530: 524: 517: 511: 504: 498: 497: 495: 471: 465: 464: 443: 437: 428: 422: 417: 411: 410: 408: 379: 348:David A. Klarner 321:Marriage Theorem 279:Ramsey's theorem 201:Nazi persecution 151:Doctoral advisor 68: 65:23 December 1989 52: 50: 35: 21: 626: 625: 621: 620: 619: 617: 616: 615: 601:Graph theorists 556: 555: 545: 543:Further reading 540: 539: 531: 527: 518: 514: 505: 501: 473: 472: 468: 445: 444: 440: 429: 425: 418: 414: 381: 380: 373: 368: 356: 237: 172: 158: 113: 109: 95: 89:Alma mater 76: 70: 66: 57: 56:Berlin, Germany 54: 48: 46: 38: 26: 17: 12: 11: 5: 624: 622: 614: 613: 608: 603: 598: 593: 588: 583: 578: 573: 568: 558: 557: 554: 553: 544: 541: 538: 537: 525: 512: 499: 486:(2): 185–195. 476:"Richard Rado" 466: 452:"Richard Rado" 438: 423: 412: 370: 369: 367: 364: 355: 352: 283:Rado's theorem 236: 233: 181: 180: 177: 176: 167: 163: 162: 153: 147: 146: 143: 139: 138: 132: 131: 122: 118: 117: 104: 103:Known for 100: 99: 90: 86: 85: 82: 78: 77: 71: 69:(aged 83) 63: 59: 58: 55: 44: 40: 39: 36: 28: 27: 24: 15: 13: 10: 9: 6: 4: 3: 2: 623: 612: 609: 607: 604: 602: 599: 597: 596:Set theorists 594: 592: 589: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 563: 561: 551: 547: 546: 542: 534: 529: 526: 522: 516: 513: 509: 503: 500: 494: 489: 485: 481: 477: 470: 467: 463: 459: 458: 453: 449: 442: 439: 436: 432: 427: 424: 421: 416: 413: 407: 402: 398: 394: 393: 388: 384: 383:Rogers, C. A. 378: 376: 372: 365: 363: 361: 353: 351: 349: 344: 342: 338: 334: 330: 327:between sets 326: 322: 318: 314: 309: 307: 303: 299: 294: 292: 288: 284: 280: 276: 272: 267: 265: 262:, ErdĹ‘s, and 261: 257: 252: 250: 246: 242: 241:combinatorics 235:Contributions 234: 232: 230: 226: 222: 218: 214: 213:Lord Cherwell 210: 206: 202: 198: 194: 193:combinatorics 190: 187: 178: 175: 171: 170:Gabriel Dirac 168: 164: 161: 157: 154: 152: 148: 144: 140: 137: 133: 130: 126: 123: 119: 116: 112: 108: 105: 101: 98: 94: 91: 87: 83: 79: 74: 64: 60: 53:28 April 1906 45: 41: 34: 29: 22: 19: 549: 528: 520: 515: 507: 502: 483: 479: 469: 455: 441: 431:Richard Rado 426: 415: 396: 390: 357: 345: 340: 336: 332: 328: 310: 295: 268: 264:AlfrĂ©d RĂ©nyi 253: 245:graph theory 238: 197:graph theory 186:Richard Rado 185: 184: 135: 67:(1989-12-23) 25:Richard Rado 18: 571:1989 deaths 566:1906 births 399:: 412–426. 302:hypergraphs 217:Robert Mond 174:Eric Milner 160:Issai Schur 156:G. H. Hardy 145:Mathematics 81:Nationality 560:Categories 366:References 256:Rado graph 249:Paul ErdĹ‘s 49:1906-04-28 550:The Times 325:matchings 221:Cambridge 75:, England 385:(1991). 277:extends 127:(1972), 433:at the 313:matroid 306:Chao Ko 291:ordinal 84:British 73:Reading 273:, the 142:Fields 121:Awards 331:and 323:for 296:The 243:and 195:and 62:Died 43:Born 488:doi 401:doi 311:In 269:In 189:FRS 562:: 484:30 482:. 478:. 460:, 454:, 450:, 397:37 395:. 389:. 374:^ 362:. 350:. 343:. 266:. 251:. 225:UK 496:. 490:: 409:. 403:: 341:X 337:X 333:X 329:S 51:) 47:(

Index


Reading
University of Cambridge
University of Berlin
Erdős–Rado theorem
Erdős–Ko–Rado theorem
Milner–Rado paradox
Senior Berwick Prize
Fellow of the Royal Society
Doctoral advisor
G. H. Hardy
Issai Schur
Gabriel Dirac
Eric Milner
FRS
combinatorics
graph theory
Nazi persecution
University of Berlin
University of Cambridge
Lord Cherwell
Robert Mond
Cambridge
UK
University of Reading
combinatorics
graph theory
Paul Erdős
Rado graph
Wilhelm Ackermann

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