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Talk:De Bruijn graph

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189: 84: 360: 74: 53: 284: 263: 294: 179: 158: 22: 482:, my intention was not to make a clear drawing of that specific eight-vertex graph (I think the other one is better for that), but rather a drawing that would show the structure of De Bruijn graphs more generally — the same style of drawing generalizes to binary De Bruijn graphs of any dimension. As I wrote 539:
This phrasing is not very clear to me, but I think that the mathematical description of the set of directed edges has the edge pointing the other way? (e.g the edge goes from the vertex where we shift all of the elements one to the left (v1...vn) to the vertex with the additional character at the
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How about "If one of the vertices 'v' can be expressed as another vertex 'w' by shifting all 'w's symbols by one place to the left, dropping the leftmost symbol and adding a new symbol to the right, then 'v' has a directed edge to 'w' . ? -- 20 April 2012
505:(later:) I found some published work supporting the dynamical systems analogy and used it as the basis for moving the figure into a new section describing that connection. Feel free to draw something else as the main illustration for the page. — 451:
Agree - there should either be a description of what 'w' means in this context, or let's lose the set-builder notation. I for one didn't find the set of edges helpful, whereas the properties and descriptions were much
536:"If one of the vertices can be expressed by shifting all symbols by one place to the left and adding a new symbol at the end of another vertex, then the latter has a directed edge to the former vertex." 645:
states: "In Dutch, all particles like "van", or "de", or "der", or "ter" in a surname are always capitalized unless a given name or initial precedes it." So shouldn't the "d" be capitalized? (A
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Didn't I read somewhere that mathematics can't be discovered? I mean graphs aren't exactly like animal species where they're waiting in some ethereal plane to be discovered by mathematicians.
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Shouldn't the definition of "E = ..." end with "v_n = w_n", instead of "v_n = w_(n-1)"? With n-1, it doesn't fit the description. -- 27 May 2007
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Actually the same goes for the Edges abstract example following. It is not at all clear what this means as the description permits ambiguity.
106: 486:, the drawing also makes visible some structural properties of De Bruijn graphs (i.e. they are two-queue graphs) and suggests an analogy with 188: 795: 780: 765: 732: 706: 659: 402: 428: 390:
Could someone describe the set of vertices a bit more clearly please? It is not clear from the example exactly what the pattern is.
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Is there any evidence that de Bruijn graphs (at least by Good) were not developed at Bletchly Park for cryptographic purposes?
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I don't think that graph is the clearest explanation of De Bruijn graphs. I'll make a new one when I get the chance. --
490:. If you think the drawing should be replaced, please keep these considerations in mind when drawing a replacement. — 638: 692:
No problem. It's a confusing topic since many other "de" names are not capitalized. There's more said about it
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There appears to be some confusion as to whether one should capitalize the "d" in "de Bruijn". (Note that
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Agreed, the description does not appear correct to me either, e.g. in the example --: -->
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There are two drawings of De Bruijn graphs already available; the other one is
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I think you are correct. I saw it uncapitalized in a few places, such as
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symbols by one place to the left and adding a new symbol at the end of
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vertex, then the latter has a directed edge to the former vertex."
675:, so I thought that was the standard. I will revert the edits. 15: 358: 649:
changed it to being not capitalized in this article.).
646: 206:, a collaborative effort to improve the coverage of 101:, a collaborative effort to improve the coverage of 673:http://mathworld.wolfram.com/deBruijnSequence.html 461:The graph examples don't seem to be showing up. 776:Start-Class physics articles of Low-importance 8: 311:, which collaborates on articles related to 19: 257: 152: 47: 573:"If one of the vertices can be expressed 259: 154: 49: 791:Systems articles in dynamical systems 7: 367:This article is within the field of 305:This article is within the scope of 200:This article is within the scope of 95:This article is within the scope of 38:It is of interest to the following 14: 761:Low-priority mathematics articles 115:Knowledge:WikiProject Mathematics 756:Start-Class mathematics articles 563:which the current text suggests. 292: 282: 261: 187: 177: 156: 118:Template:WikiProject Mathematics 82: 72: 51: 20: 786:Mid-importance Systems articles 771:Low-importance physics articles 345:This article has been rated as 240:This article has been rated as 135:This article has been rated as 1: 643:Capitalization#Compound_names 527:09:47, 10 November 2007 (UTC) 411:09:42, 23 February 2012 (UTC) 325:Knowledge:WikiProject Systems 220:Knowledge:WikiProject Physics 214:and see a list of open tasks. 109:and see a list of open tasks. 796:WikiProject Systems articles 781:Start-Class Systems articles 766:Start-Class physics articles 597:16:05, 2 November 2011 (UTC) 510:19:22, 3 November 2006 (UTC) 495:18:19, 3 November 2006 (UTC) 470:18:01, 3 November 2006 (UTC) 328:Template:WikiProject Systems 223:Template:WikiProject Physics 437:19:00, 14 August 2008 (UTC) 812: 624:05:37, 20 April 2012 (UTC) 559:, fits this rule, ==: --> 532:Error in edge description? 351:project's importance scale 246:project's importance scale 741:00:47, 10 July 2011 (UTC) 568:I'm changing the line to: 550:01:27, 4 April 2011 (UTC) 366: 344: 277: 239: 172: 134: 67: 46: 713:00:45, 5 June 2011 (UTC) 688:00:41, 5 June 2011 (UTC) 666:00:25, 5 June 2011 (UTC) 518:WikiProject class rating 141:project's priority scale 633:de Bruijn or De Bruijn? 540:end?(w1...wn)) Thanks, 480:the one now on the page 476:Image:Debruijngraph.gif 98:WikiProject Mathematics 443:Error in Set of Edges? 363: 300:Systems science portal 28:This article is rated 362: 121:mathematics articles 308:WikiProject Systems 203:WikiProject Physics 364: 90:Mathematics portal 34:content assessment 731:comment added by 614:comment added by 575:as another vertex 488:dynamical systems 439: 427:comment added by 401:comment added by 383: 382: 379: 378: 375: 374: 369:Dynamical systems 256: 255: 252: 251: 151: 150: 147: 146: 803: 743: 711: 685: 682: 664: 626: 577:by shifting all 422: 413: 333: 332: 331:Systems articles 329: 326: 323: 302: 297: 296: 295: 286: 279: 278: 273: 265: 258: 228: 227: 226:physics articles 224: 221: 218: 197: 192: 191: 181: 174: 173: 168: 160: 153: 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 811: 810: 806: 805: 804: 802: 801: 800: 746: 745: 726: 723: 709: 697: 683: 680: 662: 650: 635: 609: 534: 520: 459: 445: 419: 396: 388: 330: 327: 324: 321: 320: 317:systems science 298: 293: 291: 271: 225: 222: 219: 216: 215: 193: 186: 166: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 809: 807: 799: 798: 793: 788: 783: 778: 773: 768: 763: 758: 748: 747: 733:200.92.192.199 722: 719: 718: 717: 716: 715: 705: 700:Justin W Smith 676: 658: 653:Justin W Smith 634: 631: 630: 629: 628: 627: 602: 601: 599: 586: 571: 569: 566: 565: 564: 554: 533: 530: 524:BetacommandBot 519: 516: 515: 514: 513: 512: 507:David Eppstein 500: 499: 498: 497: 492:David Eppstein 478:. 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