Knowledge (XXG)

Tree network

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Three parameters are crucial in determining the statistics of random tree networks, first, the branching probability, second the maximum number of allowed progenies at each branching point, and third the maximum number of generations, that a tree can attain. There are a lot of studies that address
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Kromer, J.; Khaledi-Nasab, A; Schimansky-Geier, L.; Neiman, A.B (2017). "Emergent stochastic oscillations and signal detection in tree networks of excitable elements".
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that can help in analyzing the networks. These tools could be used to study the tree networks as well.
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Khaledi-Nasab, Ali; Kromer, Justus A.; Schimansky-Geier, Lutz; Neiman, Alexander B. (2018-11-12).
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A regular tree network's topology is characterized by two parameters: the branching,
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the large tree networks, however small tree networks are seldom studied.
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Understanding Computer Science (for Advanced Level): The Study Guide
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A group at MIT has developed a set of functions for
248: 156: 129: 109: 89: 363:. Indianapolis: Wiley Publishing. p. 16. 488: 69:can have an arbitrary number of child nodes. 8: 65:. Tree networks are hierarchical, and each 495: 481: 473: 452: 411: 240: 227: 187: 180: 172: 148: 142: 122: 102: 82: 302: 137:, and the number of peripheral nodes 7: 117:. The total number of the nodes, 97:, and the number of generations, 25: 222: 600:Topology of the World Wide Web 1: 355:Sosinsky, Barrie A. (2009). 269:Tools to deal with networks 642: 463:10.1103/PhysRevE.98.052303 422:10.1038/s41598-017-04193-8 29: 595: 528: 510: 30:Not to be confused with 626:Trees (data structures) 61:are interconnected via 27:Hybrid network topology 250: 158: 131: 111: 91: 42: 251: 159: 157:{\displaystyle N_{p}} 132: 112: 92: 73:Regular tree networks 41:Tree network topology 40: 32:Tree (data structure) 512:Arrangements of the 281:L. de Weck, Oliver. 260:Random tree networks 171: 141: 121: 101: 81: 18:Hierarchical network 504:Network topologies 400:Scientific Reports 246: 154: 127: 107: 87: 43: 608: 607: 522:computer networks 441:Physical Review E 370:978-0-470-43131-3 327:978-0-7487-6147-0 217: 164:, are given by 130:{\displaystyle N} 110:{\displaystyle G} 90:{\displaystyle d} 51:star-bus topology 16:(Redirected from 633: 621:Network topology 497: 490: 483: 474: 467: 466: 456: 432: 426: 425: 415: 395: 389: 388: 386: 385: 361:Networking Bible 357:"Network Basics" 352: 346: 345: 343: 342: 307: 293: 291: 289: 255: 253: 252: 247: 245: 244: 232: 231: 218: 216: 205: 198: 197: 181: 163: 161: 160: 155: 153: 152: 136: 134: 133: 128: 116: 114: 113: 108: 96: 94: 93: 88: 55:network topology 21: 641: 640: 636: 635: 634: 632: 631: 630: 611: 610: 609: 604: 591: 570:Switched fabric 558:Arbitrated loop 524: 506: 501: 471: 470: 434: 433: 429: 397: 396: 392: 383: 381: 371: 354: 353: 349: 340: 338: 328: 320:. p. 244. 309: 308: 304: 299: 287: 285: 280: 271: 262: 236: 223: 206: 183: 182: 169: 168: 144: 139: 138: 119: 118: 99: 98: 79: 78: 75: 35: 28: 23: 22: 15: 12: 11: 5: 639: 637: 629: 628: 623: 613: 612: 606: 605: 603: 602: 596: 593: 592: 590: 589: 588: 587: 582: 572: 567: 562: 561: 560: 550: 548:Point-to-point 545: 540: 535: 529: 526: 525: 511: 508: 507: 502: 500: 499: 492: 485: 477: 469: 468: 427: 390: 369: 347: 326: 318:Nelson Thornes 316:. Cheltenham: 310:Bradley, Ray. 301: 300: 298: 295: 270: 267: 261: 258: 257: 256: 243: 239: 235: 230: 226: 221: 215: 212: 209: 204: 201: 196: 193: 190: 186: 179: 176: 151: 147: 126: 106: 86: 74: 71: 53:, is a hybrid 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 638: 627: 624: 622: 619: 618: 616: 601: 598: 597: 594: 586: 583: 581: 578: 577: 576: 573: 571: 568: 566: 563: 559: 556: 555: 554: 551: 549: 546: 544: 541: 539: 536: 534: 531: 530: 527: 523: 519: 515: 509: 505: 498: 493: 491: 486: 484: 479: 478: 475: 464: 460: 455: 450: 447:(5): 052303. 446: 442: 438: 431: 428: 423: 419: 414: 409: 405: 401: 394: 391: 380: 376: 372: 366: 362: 358: 351: 348: 337: 333: 329: 323: 319: 315: 314: 306: 303: 296: 294: 284: 278: 276: 268: 266: 259: 241: 237: 233: 228: 224: 219: 213: 210: 207: 202: 199: 194: 191: 188: 184: 177: 174: 167: 166: 165: 149: 145: 124: 104: 84: 72: 70: 68: 64: 60: 59:star networks 56: 52: 48: 47:tree topology 39: 33: 19: 575:Tree network 574: 565:Star network 553:Ring network 543:Mesh network 538:Grid network 444: 440: 430: 403: 399: 393: 382:. Retrieved 360: 350: 339:. Retrieved 312: 305: 286:. Retrieved 279: 272: 263: 76: 63:bus networks 50: 46: 44: 533:Bus network 615:Categories 514:data links 454:1808.02750 413:1701.01693 384:2016-03-26 341:2016-03-26 297:References 585:Hypertree 379:359673774 211:− 200:− 57:in which 580:Fat tree 336:47869750 377:  367:  334:  324:  288:May 1, 275:Matlab 518:nodes 449:arXiv 408:arXiv 49:, or 516:and 375:OCLC 365:ISBN 332:OCLC 322:ISBN 290:2018 67:node 520:of 459:doi 418:doi 617:: 457:. 445:98 443:. 439:. 416:. 406:. 402:. 373:. 359:. 330:. 45:A 496:e 489:t 482:v 465:. 461:: 451:: 424:. 420:: 410:: 404:7 387:. 344:. 292:. 242:G 238:d 234:= 229:p 225:N 220:, 214:1 208:d 203:1 195:1 192:+ 189:G 185:d 178:= 175:N 150:p 146:N 125:N 105:G 85:d 34:. 20:)

Index

Hierarchical network
Tree (data structure)
Tree topology
network topology
star networks
bus networks
node
Matlab
"MIT Strategic Engineering Research Group (SERG), Part II"
Understanding Computer Science (for Advanced Level): The Study Guide
Nelson Thornes
ISBN
978-0-7487-6147-0
OCLC
47869750
"Network Basics"
ISBN
978-0-470-43131-3
OCLC
359673774
arXiv
1701.01693
doi
10.1038/s41598-017-04193-8
"Variability of collective dynamics in random tree networks of strongly coupled stochastic excitable elements"
arXiv
1808.02750
doi
10.1103/PhysRevE.98.052303
v

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