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Talk:Signed graph

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I'm trying to follow the text as closely as possible, but I find it hard to bring any understanding to the material without some illustrations. Is this article unusual, or is this problem common? I would think someone who could provide the text would also be able to provide some illustrations, if
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as they are not endorelations. The signed graph structure is a definite system, not just a table with +1 and −1 entries. It is suggested that you try to fit a link to this article into that one if you think it fits. But still, no references have been provided!
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Sections called Adjacency matrix, Orientation, Incidence matrix and Switching were deleted as impertinent to this article. No references were given and wikilinks were unhelpful. This is a large deletion and invites comment.
489:, I'm not sure what you mean; there is no reference to any tables at root system. Maybe you mean there is some confusion about how the incidence matrix connects to the root system. This can be omitted. 140: 178:
It makes sense to ask for illustrations, but someone who knows how to write WP text may not know how to prepare WP illustrations. Such as me. Will someone help?
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By the way, a graph is not an "endorelation". There are several reasons, e.g., lack of direction, multiple edges, self-loops. But this is a side issue.
556: 130: 106: 551: 290:, has every possible positive and negative edge including negative loops, but no positive loops. Its edges correspond to the roots of the 427:
can be defined as the class of vertex sets of negative triangles (having an odd number of negative edges) in a signed complete graph.
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for tables containing 0s, 1s, and −1s. They are tables but not signed graphs. There does not appear to be a connection between
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The sections are highly pertinent. I do not understand your objection. I will restore the sections if you do not explain.
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because a circle is positive if and only if it has even length. An all-negative graph with underlying graph
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Is your objection the lack of references? I can provide a reference for all these. As for tables at
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on Knowledge. If you would like to participate, please visit the project page, where you can join
89: 302:; the column of an edge in the incidence matrix (see below) is the vector representing the root. 73: 52: 533: 475: 436: 237: 508: 494: 451: 257: 183: 384: 327:
with a half-edge at every vertex. Its edges correspond to the roots of the root system
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must be defined. A well-labeled illustration, as Zaslav suggests above, could help.
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signed graph has only negative edges. It is balanced if and only if it is
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They are examples of signed graphs. I do not understand your objection.
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Root systems#Explicit construction of the irreducible root systems
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signed graph has only positive edges. If the underlying graph is
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The sections claim to relate to Lie algebra classification C
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only of their own understanding. Kinda puzzling. --
431:These "examples" do not illustrate the article. 158:This article could really use some illustrations 8: 194:The "Examples" section is not comprehensible 47: 372:, the all-positive signing is written + 49: 19: 7: 95:This article is within the scope of 38:It is of interest to the following 528:root systems and signed graphs. — 14: 557:Low-priority mathematics articles 281:vertices with loops, denoted by ± 115:Knowledge:WikiProject Mathematics 118:Template:WikiProject Mathematics 82: 72: 51: 20: 135:This article has been rated as 1: 173:16:55, 27 December 2010 (UTC) 109:and see a list of open tasks. 552:C-Class mathematics articles 480:04:35, 13 January 2023 (UTC) 456:20:57, 12 January 2023 (UTC) 406:the ordinary complete graph 262:20:59, 12 January 2023 (UTC) 188:09:47, 20 January 2011 (UTC) 573: 441:04:05, 26 March 2022 (UTC) 341:complete signed link graph 242:03:53, 26 March 2022 (UTC) 538:01:16, 3 March 2023 (UTC) 513:07:41, 2 March 2023 (UTC) 499:07:37, 2 March 2023 (UTC) 222:20:21, 2 April 2020 (UTC) 134: 67: 46: 419:, which are of value in 402:has as underlying graph 141:project's priority scale 98:WikiProject Mathematics 28:This article is rated 400:signed complete graph 307:complete signed graph 275:complete signed graph 121:mathematics articles 309:with half-edges, ± 90:Mathematics portal 34:content assessment 465:do not represent 155: 154: 151: 150: 147: 146: 564: 165:TheLastWordSword 123: 122: 119: 116: 113: 92: 87: 86: 76: 69: 68: 63: 55: 48: 31: 25: 24: 16: 572: 571: 567: 566: 565: 563: 562: 561: 542: 541: 414: 360: 351: 335: 326: 317: 301: 289: 270: 247: 229: 214:Arthur.Goldberg 196: 160: 120: 117: 114: 111: 110: 88: 81: 61: 32:on Knowledge's 29: 12: 11: 5: 570: 568: 560: 559: 554: 544: 543: 518: 517: 516: 515: 461:The tables at 459: 458: 429: 428: 410: 396: 377: 362: 356: 347: 337: 331: 322: 313: 303: 297: 285: 269: 266: 265: 264: 245: 228: 225: 195: 192: 191: 190: 159: 156: 153: 152: 149: 148: 145: 144: 133: 127: 126: 124: 107:the discussion 94: 93: 77: 65: 64: 56: 44: 43: 37: 26: 13: 10: 9: 6: 4: 3: 2: 569: 558: 555: 553: 550: 549: 547: 540: 539: 535: 531: 527: 523: 514: 510: 506: 502: 501: 500: 496: 492: 488: 484: 483: 482: 481: 477: 473: 468: 464: 457: 453: 449: 445: 444: 443: 442: 438: 434: 426: 422: 418: 413: 409: 405: 401: 397: 394: 390: 386: 382: 378: 375: 371: 367: 363: 359: 355: 350: 346: 342: 338: 334: 330: 325: 321: 316: 312: 308: 304: 300: 296: 293: 288: 284: 280: 276: 272: 271: 267: 263: 259: 255: 251: 250: 249: 243: 239: 235: 226: 224: 223: 219: 215: 211: 209: 205: 204:negative loop 201: 193: 189: 185: 181: 177: 176: 175: 174: 170: 166: 157: 142: 138: 132: 129: 128: 125: 108: 104: 100: 99: 91: 85: 80: 78: 75: 71: 70: 66: 60: 57: 54: 50: 45: 41: 35: 27: 23: 18: 17: 519: 460: 430: 424: 421:finite group 411: 407: 403: 399: 392: 391:is written − 388: 381:all-negative 380: 373: 369: 366:all-positive 365: 357: 353: 348: 344: 340: 332: 328: 323: 319: 314: 310: 306: 298: 294: 286: 282: 278: 274: 230: 212: 207: 203: 199: 197: 161: 137:Low-priority 136: 96: 62:Low‑priority 40:WikiProjects 526:Lie algebra 487:root system 463:root system 423:theory. A 292:root system 227:Orientation 112:Mathematics 103:mathematics 59:Mathematics 546:Categories 417:two-graphs 198:The terms 425:two-graph 385:bipartite 208:half-edge 268:Examples 530:Rgdboer 472:Rgdboer 433:Rgdboer 318:', is ± 234:Rgdboer 139:on the 30:C-class 505:Zaslav 491:Zaslav 467:graphs 448:Zaslav 254:Zaslav 206:, and 180:Zaslav 36:scale. 534:talk 520:See 509:talk 495:talk 476:talk 452:talk 437:talk 339:The 305:The 273:The 258:talk 238:talk 218:talk 200:loop 184:talk 169:talk 379:An 364:An 343:, ± 277:on 131:Low 548:: 536:) 511:) 497:) 478:) 454:) 439:) 398:A 260:) 248:: 240:) 220:) 202:, 186:) 171:) 532:( 507:( 493:( 474:( 450:( 435:( 412:n 408:K 404:G 395:. 393:G 389:G 376:. 374:G 370:G 361:. 358:n 354:D 349:n 345:K 333:n 329:B 324:n 320:K 315:n 311:K 299:n 295:C 287:n 283:K 279:n 256:( 246:n 236:( 216:( 182:( 167:( 143:. 42::

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Mathematics
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Mathematics portal
WikiProject Mathematics
mathematics
the discussion
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project's priority scale
TheLastWordSword
talk
16:55, 27 December 2010 (UTC)
Zaslav
talk
09:47, 20 January 2011 (UTC)
Arthur.Goldberg
talk
20:21, 2 April 2020 (UTC)
Rgdboer
talk
03:53, 26 March 2022 (UTC)
Zaslav
talk
20:59, 12 January 2023 (UTC)
root system
bipartite

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