math.graphs.spiral_torus_graph() - Code Metrics - Inspection of "add networkx_mermaid handler" - erivlis/graphinate - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Push — main ( 2bcd5c...05fcff )

by Eran

created 2025-03-02 00:47 UTC

math.graphs.spiral_torus_graph() A

↳ Parent: math.graphs

Complexity

Conditions

Size

Total Lines	4
Code Lines	4

Duplication

Lines	0
Ratio	0 %

Importance

Changes

Metric	Value
eloc	4
dl	0
loc	4
rs	10
c	0
b	0
f	0
cc	1
nop	2

1			import itertools
2			import re
3			from collections.abc import Iterable
4			from typing import NewType
5
6			import networkx as nx
7
8			SPECIAL_GRAPHS_ADJACENCY_LISTS = {
9			'Buckyball - Truncated Icosahedral Graph': {
10			1: [2, 3, 4],
11			2: [1, 55, 56],
12			3: [1, 58, 60],
13			4: [1, 57, 59],
14			5: [8, 13, 14],
15			6: [8, 12, 15],
16			7: [8, 11, 16],
17			8: [5, 6, 7],
18			9: [13, 15, 25],
19			10: [14, 16, 26],
20			11: [7, 12, 24],
21			12: [6, 11, 23],
22			13: [5, 9, 18],
23			14: [5, 10, 17],
24			15: [6, 9, 19],
25			16: [7, 10, 20],
26			17: [14, 18, 30],
27			18: [13, 17, 29],
28			19: [15, 28, 32],
29			20: [16, 27, 31],
30			21: [26, 30, 46],
31			22: [25, 29, 45],
32			23: [12, 28, 38],
33			24: [11, 27, 37],
34			25: [9, 22, 32],
35			26: [10, 21, 31],
36			27: [20, 24, 35],
37			28: [19, 23, 36],
38			29: [18, 22, 43],
39			30: [17, 21, 44],
40			31: [20, 26, 42],
41			32: [19, 25, 41],
42			33: [35, 42, 53],
43			34: [36, 41, 54],
44			35: [27, 33, 40],
45			36: [28, 34, 39],
46			37: [24, 38, 40],
47			38: [23, 37, 39],
48			39: [36, 38, 52],
49			40: [35, 37, 51],
50			41: [32, 34, 50],
51			42: [31, 33, 49],
52			43: [29, 44, 48],
53			44: [30, 43, 47],
54			45: [22, 48, 50],
55			46: [21, 47, 49],
56			47: [44, 46, 60],
57			48: [43, 45, 59],
58			49: [42, 46, 58],
59			50: [41, 45, 57],
60			51: [40, 52, 56],
61			52: [39, 51, 55],
62			53: [33, 56, 58],
63			54: [34, 55, 57],
64			55: [2, 52, 54],
65			56: [2, 51, 53],
66			57: [4, 50, 54],
67			58: [3, 49, 53],
68			59: [4, 48, 60],
69			60: [3, 47, 59]
70			},
71			'D30 - Rhombic Triacontahedral Graph': {
72			1: [21, 22, 23],
73			2: [24, 27, 30],
74			3: [24, 29, 30],
75			4: [26, 29, 32],
76			5: [26, 28, 32],
77			6: [25, 27, 31],
78			7: [25, 28, 31],
79			8: [24, 26, 29],
80			9: [24, 25, 27],
81			10: [25, 26, 28],
82			11: [24, 25, 26],
83			12: [22, 29, 30],
84			13: [21, 27, 30],
85			14: [23, 28, 32],
86			15: [23, 28, 31],
87			16: [22, 29, 32],
88			17: [21, 27, 31],
89			18: [21, 22, 30],
90			19: [22, 23, 32],
91			20: [21, 23, 31],
92			21: [1, 13, 17, 18, 20],
93			22: [1, 12, 16, 18, 19],
94			23: [1, 14, 15, 19, 20],
95			24: [2, 3, 8, 9, 11],
96			25: [6, 7, 9, 10, 11],
97			26: [4, 5, 8, 10, 11],
98			27: [2, 6, 9, 13, 17],
99			28: [5, 7, 10, 14, 15],
100			29: [3, 4, 8, 12, 16],
101			30: [2, 3, 12, 13, 18],
102			31: [6, 7, 15, 17, 20],
103			32: [4, 5, 14, 16, 19]
104			},
105			'Small Rhombicosidodecahedral Graph': {
106			1: [2, 3, 4, 5],
107			2: [1, 54, 55, 59],
108			3: [1, 53, 56, 60],
109			4: [1, 5, 58, 60],
110			5: [1, 4, 57, 59],
111			6: [24, 25, 57, 58],
112			7: [12, 13, 16, 17],
113			8: [9, 11, 19, 25],
114			9: [8, 10, 18, 24],
115			10: [9, 11, 12, 18],
116			11: [8, 10, 13, 19],
117			12: [7, 10, 14, 20],
118			13: [7, 11, 15, 21],
119			14: [12, 18, 20, 37],
120			15: [13, 19, 21, 38],
121			16: [7, 17, 21, 23],
122			17: [7, 16, 20, 22],
123			18: [9, 10, 14, 28],
124			19: [8, 11, 15, 29],
125			20: [12, 14, 17, 33],
126			21: [13, 15, 16, 32],
127			22: [17, 23, 31, 34],
128			23: [16, 22, 30, 34],
129			24: [6, 9, 27, 28],
130			25: [6, 8, 26, 29],
131			26: [25, 29, 46, 58],
132			27: [24, 28, 45, 57],
133			28: [18, 24, 27, 44],
134			29: [19, 25, 26, 43],
135			30: [23, 32, 36, 42],
136			31: [22, 33, 35, 41],
137			32: [21, 30, 38, 39],
138			33: [20, 31, 37, 40],
139			34: [22, 23, 41, 42],
140			35: [31, 40, 41, 51],
141			36: [30, 39, 42, 52],
142			37: [14, 33, 40, 44],
143			38: [15, 32, 39, 43],
144			39: [32, 36, 38, 48],
145			40: [33, 35, 37, 47],
146			41: [31, 34, 35, 50],
147			42: [30, 34, 36, 49],
148			43: [29, 38, 46, 48],
149			44: [28, 37, 45, 47],
150			45: [27, 44, 47, 59],
151			46: [26, 43, 48, 60],
152			47: [40, 44, 45, 54],
153			48: [39, 43, 46, 53],
154			49: [42, 50, 52, 56],
155			50: [41, 49, 51, 55],
156			51: [35, 50, 54, 55],
157			52: [36, 49, 53, 56],
158			53: [3, 48, 52, 60],
159			54: [2, 47, 51, 59],
160			55: [2, 50, 51, 56],
161			56: [3, 49, 52, 55],
162			57: [5, 6, 27, 58],
163			58: [4, 6, 26, 57],
164			59: [2, 5, 45, 54],
165			60: [3, 4, 46, 53]
166			},
167			'Small Rhombicuboctahedral Graph': {
168			1: [2, 3, 4, 5],
169			2: [1, 18, 22, 24],
170			3: [1, 19, 22, 23],
171			4: [1, 5, 21, 24],
172			5: [1, 4, 20, 23],
173			6: [10, 11, 20, 21],
174			7: [10, 11, 12, 13],
175			8: [10, 14, 20, 23],
176			9: [11, 15, 21, 24],
177			10: [6, 7, 8, 14],
178			11: [6, 7, 9, 15],
179			12: [7, 13, 15, 17],
180			13: [7, 12, 14, 16],
181			14: [8, 10, 13, 19],
182			15: [9, 11, 12, 18],
183			16: [13, 17, 19, 22],
184			17: [12, 16, 18, 22],
185			18: [2, 15, 17, 24],
186			19: [3, 14, 16, 23],
187			20: [5, 6, 8, 21],
188			21: [4, 6, 9, 20],
189			22: [2, 3, 16, 17],
190			23: [3, 5, 8, 19],
191			24: [2, 4, 9, 18]
192			},
193			'Great Rhombicosidodecahedral Graph': {
194			1: [2, 3, 4],
195			2: [1, 119, 120],
196			3: [1, 118, 120],
197			4: [1, 116, 117],
198			5: [6, 7, 120],
199			6: [5, 114, 115],
200			7: [5, 113, 115],
201			8: [9, 10, 115],
202			9: [8, 111, 112],
203			10: [8, 110, 112],
204			11: [12, 13, 112],
205			12: [11, 108, 109],
206			13: [11, 107, 109],
207			14: [15, 16, 109],
208			15: [14, 105, 106],
209			16: [14, 104, 106],
210			17: [18, 19, 106],
211			18: [17, 102, 103],
212			19: [17, 101, 103],
213			20: [21, 22, 103],
214			21: [20, 99, 100],
215			22: [20, 98, 100],
216			23: [24, 25, 100],
217			24: [23, 96, 97],
218			25: [23, 95, 97],
219			26: [27, 28, 97],
220			27: [26, 93, 94],
221			28: [26, 92, 94],
222			29: [94, 116, 117],
223			30: [63, 91, 96],
224			31: [32, 33, 91],
225			32: [31, 87, 88],
226			33: [31, 86, 88],
227			34: [35, 36, 88],
228			35: [34, 84, 85],
229			36: [34, 83, 85],
230			37: [38, 85, 113],
231			38: [37, 41, 110],
232			39: [58, 73, 114],
233			40: [86, 117, 119],
234			41: [38, 64, 84],
235			42: [64, 69, 84],
236			43: [53, 55, 111],
237			44: [64, 67, 108],
238			45: [52, 77, 105],
239			46: [65, 70, 102],
240			47: [48, 49, 99],
241			48: [47, 82, 95],
242			49: [47, 80, 81],
243			50: [51, 52, 79],
244			51: [50, 74, 75],
245			52: [45, 50, 75],
246			53: [43, 75, 107],
247			54: [72, 73, 74],
248			55: [43, 73, 74],
249			56: [61, 76, 78],
250			57: [60, 89, 90],
251			58: [39, 59, 118],
252			59: [58, 60, 72],
253			60: [57, 59, 61],
254			61: [56, 60, 72],
255			62: [66, 71, 87],
256			63: [30, 66, 87],
257			64: [41, 42, 44],
258			65: [46, 66, 98],
259			66: [62, 63, 65],
260			67: [44, 68, 104],
261			68: [67, 69, 70],
262			69: [42, 68, 71],
263			70: [46, 68, 71],
264			71: [62, 69, 70],
265			72: [54, 59, 61],
266			73: [39, 54, 55],
267			74: [51, 54, 55],
268			75: [51, 52, 53],
269			76: [56, 82, 89],
270			77: [45, 80, 101],
271			78: [56, 81, 82],
272			79: [50, 80, 81],
273			80: [49, 77, 79],
274			81: [49, 78, 79],
275			82: [48, 76, 78],
276			83: [36, 86, 119],
277			84: [35, 41, 42],
278			85: [35, 36, 37],
279			86: [33, 40, 83],
280			87: [32, 62, 63],
281			88: [32, 33, 34],
282			89: [57, 76, 93],
283			90: [57, 93, 116],
284			91: [30, 31, 92],
285			92: [28, 91, 96],
286			93: [27, 89, 90],
287			94: [27, 28, 29],
288			95: [25, 48, 99],
289			96: [24, 30, 92],
290			97: [24, 25, 26],
291			98: [22, 65, 102],
292			99: [21, 47, 95],
293			100: [21, 22, 23],
294			101: [19, 77, 105],
295			102: [18, 46, 98],
296			103: [18, 19, 20],
297			104: [16, 67, 108],
298			105: [15, 45, 101],
299			106: [15, 16, 17],
300			107: [13, 53, 111],
301			108: [12, 44, 104],
302			109: [12, 13, 14],
303			110: [10, 38, 113],
304			111: [9, 43, 107],
305			112: [9, 10, 11],
306			113: [7, 37, 110],
307			114: [6, 39, 118],
308			115: [6, 7, 8],
309			116: [4, 29, 90],
310			117: [4, 29, 40],
311			118: [3, 58, 114],
312			119: [2, 40, 83],
313			120: [2, 3, 5]
314			},
315			'Disdyakis Dodecahedral Graph': {
316			1: [13, 14, 21, 22],
317			2: [17, 19, 21, 23],
318			3: [18, 20, 22, 24],
319			4: [16, 17, 23, 25],
320			5: [15, 19, 23, 26],
321			6: [15, 18, 24, 26],
322			7: [16, 20, 24, 25],
323			8: [15, 16, 23, 24],
324			9: [14, 17, 21, 25],
325			10: [13, 18, 22, 26],
326			11: [13, 19, 21, 26],
327			12: [14, 20, 22, 25],
328			13: [1, 10, 11, 21, 22, 26],
329			14: [1, 9, 12, 21, 22, 25],
330			15: [5, 6, 8, 23, 24, 26],
331			16: [4, 7, 8, 23, 24, 25],
332			17: [2, 4, 9, 21, 23, 25],
333			18: [3, 6, 10, 22, 24, 26],
334			19: [2, 5, 11, 21, 23, 26],
335			20: [3, 7, 12, 22, 24, 25],
336			21: [1, 2, 9, 11, 13, 14, 17, 19],
337			22: [1, 3, 10, 12, 13, 14, 18, 20],
338			23: [2, 4, 5, 8, 15, 16, 17, 19],
339			24: [3, 6, 7, 8, 15, 16, 18, 20],
340			25: [4, 7, 9, 12, 14, 16, 17, 20],
341			26: [5, 6, 10, 11, 13, 15, 18, 19]
342			},
343			'Deltoidal Icositetrahedral Graph': {
344			1: [15, 24, 26],
345			2: [15, 23, 25],
346			3: [16, 18, 20],
347			4: [17, 19, 20],
348			5: [16, 22, 26],
349			6: [19, 22, 25],
350			7: [18, 21, 24],
351			8: [17, 21, 23],
352			9: [15, 22, 25, 26],
353			10: [15, 21, 23, 24],
354			11: [16, 18, 24, 26],
355			12: [17, 19, 23, 25],
356			13: [16, 19, 20, 22],
357			14: [17, 18, 20, 21],
358			15: [1, 2, 9, 10],
359			16: [3, 5, 11, 13],
360			17: [4, 8, 12, 14],
361			18: [3, 7, 11, 14],
362			19: [4, 6, 12, 13],
363			20: [3, 4, 13, 14],
364			21: [7, 8, 10, 14],
365			22: [5, 6, 9, 13],
366			23: [2, 8, 10, 12],
367			24: [1, 7, 10, 11],
368			25: [2, 6, 9, 12],
369			26: [1, 5, 9, 11]
370			},
371			'Icosidodecahedral Graph': {
372			1: [2, 3, 4, 5],
373			2: [1, 4, 23, 27],
374			3: [1, 5, 24, 28],
375			4: [1, 2, 26, 29],
376			5: [1, 3, 25, 30],
377			6: [7, 8, 9, 10],
378			7: [6, 9, 11, 15],
379			8: [6, 10, 12, 16],
380			9: [6, 7, 14, 18],
381			10: [6, 8, 13, 17],
382			11: [7, 12, 15, 19],
383			12: [8, 11, 16, 19],
384			13: [10, 14, 17, 20],
385			14: [9, 13, 18, 20],
386			15: [7, 11, 21, 23],
387			16: [8, 12, 22, 24],
388			17: [10, 13, 22, 25],
389			18: [9, 14, 21, 26],
390			19: [11, 12, 27, 28],
391			20: [13, 14, 29, 30],
392			21: [15, 18, 23, 26],
393			22: [16, 17, 24, 25],
394			23: [2, 15, 21, 27],
395			24: [3, 16, 22, 28],
396			25: [5, 17, 22, 30],
397			26: [4, 18, 21, 29],
398			27: [2, 19, 23, 28],
399			28: [3, 19, 24, 27],
400			29: [4, 20, 26, 30],
401			30: [5, 20, 25, 29]
402			},
403			'Deltoidal Hexecontahedral Graph': {
404			1: [21, 49, 50],
405			2: [21, 47, 48],
406			3: [23, 25, 26],
407			4: [22, 24, 26],
408			5: [25, 27, 33],
409			6: [24, 30, 36],
410			7: [23, 28, 34],
411			8: [22, 29, 35],
412			9: [27, 30, 31],
413			10: [28, 29, 32],
414			11: [33, 38, 43],
415			12: [34, 38, 46],
416			13: [36, 37, 45],
417			14: [35, 37, 44],
418			15: [32, 40, 42],
419			16: [31, 39, 41],
420			17: [39, 43, 49],
421			18: [40, 46, 50],
422			19: [41, 45, 47],
423			20: [42, 44, 48],
424			21: [1, 2, 51, 52],
425			22: [4, 8, 54, 56],
426			23: [3, 7, 53, 56],
427			24: [4, 6, 54, 55],
428			25: [3, 5, 53, 55],
429			26: [3, 4, 55, 56],
430			27: [5, 9, 55, 57],
431			28: [7, 10, 56, 58],
432			29: [8, 10, 56, 60],
433			30: [6, 9, 55, 59],
434			31: [9, 16, 57, 59],
435			32: [10, 15, 58, 60],
436			33: [5, 11, 53, 57],
437			34: [7, 12, 53, 58],
438			35: [8, 14, 54, 60],
439			36: [6, 13, 54, 59],
440			37: [13, 14, 54, 62],
441			38: [11, 12, 53, 61],
442			39: [16, 17, 52, 57],
443			40: [15, 18, 51, 58],
444			41: [16, 19, 52, 59],
445			42: [15, 20, 51, 60],
446			43: [11, 17, 57, 61],
447			44: [14, 20, 60, 62],
448			45: [13, 19, 59, 62],
449			46: [12, 18, 58, 61],
450			47: [2, 19, 52, 62],
451			48: [2, 20, 51, 62],
452			49: [1, 17, 52, 61],
453			50: [1, 18, 51, 61],
454			51: [21, 40, 42, 48, 50],
455			52: [21, 39, 41, 47, 49],
456			53: [23, 25, 33, 34, 38],
457			54: [22, 24, 35, 36, 37],
458			55: [24, 25, 26, 27, 30],
459			56: [22, 23, 26, 28, 29],
460			57: [27, 31, 33, 39, 43],
461			58: [28, 32, 34, 40, 46],
462			59: [30, 31, 36, 41, 45],
463			60: [29, 32, 35, 42, 44],
464			61: [38, 43, 46, 49, 50],
465			62: [37, 44, 45, 47, 48]
466			},
467			'Kocohl74': {
468			1: [2, 3, 4],
469			2: [1, 71, 74],
470			3: [1, 72, 73],
471			4: [1, 69, 70],
472			5: [6, 43, 60],
473			6: [5, 7, 50],
474			7: [6, 8, 9],
475			8: [7, 39, 40],
476			9: [7, 41, 42],
477			10: [11, 12, 31],
478			11: [10, 21, 25],
479			12: [10, 20, 22],
480			13: [15, 18, 24],
481			14: [15, 44, 47],
482			15: [13, 14, 45],
483			16: [17, 46, 47],
484			17: [16, 18, 21],
485			18: [13, 17, 22],
486			19: [20, 21, 23],
487			20: [12, 19, 24],
488			21: [11, 17, 19],
489			22: [12, 18, 23],
490			23: [19, 22, 28],
491			24: [13, 20, 26],
492			25: [11, 26, 27],
493			26: [24, 25, 35],
494			27: [25, 30, 37],
495			28: [23, 29, 35],
496			29: [28, 30, 34],
497			30: [27, 29, 33],
498			31: [10, 33, 34],
499			32: [40, 46, 48],
500			33: [30, 31, 42],
501			34: [29, 31, 41],
502			35: [26, 28, 42],
503			36: [38, 39, 43],
504			37: [27, 38, 41],
505			38: [36, 37, 40],
506			39: [8, 36, 49],
507			40: [8, 32, 38],
508			41: [9, 34, 37],
509			42: [9, 33, 35],
510			43: [5, 36, 54],
511			44: [14, 49, 52],
512			45: [15, 48, 52],
513			46: [16, 32, 56],
514			47: [14, 16, 51],
515			48: [32, 45, 57],
516			49: [39, 44, 51],
517			50: [6, 55, 58],
518			51: [47, 49, 66],
519			52: [44, 45, 65],
520			53: [58, 63, 67],
521			54: [43, 59, 63],
522			55: [50, 59, 62],
523			56: [46, 57, 66],
524			57: [48, 56, 65],
525			58: [50, 53, 61],
526			59: [54, 55, 64],
527			60: [5, 62, 64],
528			61: [58, 68, 71],
529			62: [55, 60, 72],
530			63: [53, 54, 72],
531			64: [59, 60, 71],
532			65: [52, 57, 70],
533			66: [51, 56, 69],
534			67: [53, 70, 74],
535			68: [61, 69, 73],
536			69: [4, 66, 68],
537			70: [4, 65, 67],
538			71: [2, 61, 64],
539			72: [3, 62, 63],
540			73: [3, 68, 74],
541			74: [2, 67, 73]
542			},
543			'https://houseofgraphs.org/graphs/3312': {
544			1: [2, 3, 4],
545			2: [1, 87, 88],
546			3: [1, 85, 88],
547			4: [1, 84, 86],
548			5: [6, 7, 88],
549			6: [5, 83, 87],
550			7: [5, 81, 82],
551			8: [83, 84, 86],
552			9: [10, 11, 83],
553			10: [9, 80, 86],
554			11: [9, 79, 82],
555			12: [28, 29, 80],
556			13: [28, 45, 80],
557			14: [16, 19, 81],
558			15: [19, 78, 81],
559			16: [14, 17, 82],
560			17: [16, 18, 79],
561			18: [17, 19, 20],
562			19: [14, 15, 18],
563			20: [18, 77, 78],
564			21: [22, 23, 76],
565			22: [21, 72, 75],
566			23: [21, 73, 74],
567			24: [25, 34, 85],
568			25: [24, 26, 27],
569			26: [25, 33, 38],
570			27: [25, 32, 34],
571			28: [12, 13, 31],
572			29: [12, 30, 37],
573			30: [29, 31, 36],
574			31: [28, 30, 39],
575			32: [27, 33, 40],
576			33: [26, 32, 35],
577			34: [24, 27, 43],
578			35: [33, 38, 44],
579			36: [30, 37, 42],
580			37: [29, 36, 41],
581			38: [26, 35, 41],
582			39: [31, 42, 45],
583			40: [32, 43, 44],
584			41: [37, 38, 47],
585			42: [36, 39, 47],
586			43: [34, 40, 46],
587			44: [35, 40, 50],
588			45: [13, 39, 51],
589			46: [43, 65, 85],
590			47: [41, 42, 64],
591			48: [53, 57, 63],
592			49: [52, 56, 60],
593			50: [44, 52, 61],
594			51: [45, 53, 62],
595			52: [49, 50, 65],
596			53: [48, 51, 64],
597			54: [59, 63, 71],
598			55: [58, 60, 70],
599			56: [49, 58, 61],
600			57: [48, 59, 62],
601			58: [55, 56, 67],
602			59: [54, 57, 69],
603			60: [49, 55, 66],
604			61: [50, 56, 67],
605			62: [51, 57, 69],
606			63: [48, 54, 68],
607			64: [47, 53, 68],
608			65: [46, 52, 66],
609			66: [60, 65, 72],
610			67: [58, 61, 75],
611			68: [63, 64, 74],
612			69: [59, 62, 73],
613			70: [55, 72, 75],
614			71: [54, 73, 74],
615			72: [22, 66, 70],
616			73: [23, 69, 71],
617			74: [23, 68, 71],
618			75: [22, 67, 70],
619			76: [21, 77, 78],
620			77: [20, 76, 79],
621			78: [15, 20, 76],
622			79: [11, 17, 77],
623			80: [10, 12, 13],
624			81: [7, 14, 15],
625			82: [7, 11, 16],
626			83: [6, 8, 9],
627			84: [4, 8, 87],
628			85: [3, 24, 46],
629			86: [4, 8, 10],
630			87: [2, 6, 84],
631			88: [2, 3, 5]
632			},
633			'https://houseofgraphs.org/graphs/31104': {
634			1: [2, 3, 4, 5],
635			2: [1, 4, 9, 10],
636			3: [1, 5, 8, 10],
637			4: [1, 2, 6, 8],
638			5: [1, 3, 7, 9],
639			6: [4, 7, 8, 10],
640			7: [5, 6, 9, 10],
641			8: [3, 4, 6, 9],
642			9: [2, 5, 7, 8],
643			10: [2, 3, 6, 7]
644			},
645			'Utility Graph': {
646			1: [2, 3, 4],
647			2: [1, 5, 6],
648			3: [1, 5, 6],
649			4: [1, 5, 6],
650			5: [2, 3, 4],
651			6: [2, 3, 4]
652			},
653			'Errara Graph': {
654			1: [3, 4, 5, 11, 12],
655			2: [6, 7, 8, 9, 10],
656			3: [1, 4, 5, 13, 14],
657			4: [1, 3, 11, 13, 16],
658			5: [1, 3, 12, 14, 17],
659			6: [2, 7, 8, 15, 16],
660			7: [2, 6, 9, 15, 17],
661			8: [2, 6, 10, 13, 16],
662			9: [2, 7, 10, 14, 17],
663			10: [2, 8, 9, 13, 14],
664			11: [1, 4, 12, 15, 16],
665			12: [1, 5, 11, 15, 17],
666			13: [3, 4, 8, 10, 14, 16],
667			14: [3, 5, 9, 10, 13, 17],
668			15: [6, 7, 11, 12, 16, 17],
669			16: [4, 6, 8, 11, 13, 15],
670			17: [5, 7, 9, 12, 14, 15]
671			},
672			'Dragon Curve Blob 6': {
673			1: [4, 15],
674			2: [8, 17],
675			3: [8, 17],
676			4: [1, 14],
677			5: [7, 14],
678			6: [7, 14],
679			7: [5, 6],
680			8: [2, 3],
681			9: [11, 16],
682			10: [13, 15],
683			11: [9, 12],
684			12: [11, 16, 17],
685			13: [10, 16, 17],
686			14: [4, 5, 6, 15],
687			15: [1, 10, 14, 16],
688			16: [9, 12, 13, 15],
689			17: [2, 3, 12, 13]
690			}
691			}
692
693			AdjacencyList = NewType('AdjacencyList', dict[int, list[int]])
694
695
696			def ladder_ring_graph(size: int) -> nx.Graph:
697			g: nx.Graph = nx.ladder_graph(size)
698			g.add_edge(size, size * 2 - 1)
699			g.add_edge(0, size - 1)
700			g.name = f'Ladder Ring[{size}]'
701			return g
702
703
704			def ladder_mobius_graph(size: int) -> nx.Graph:
705			g = nx.ladder_graph(size)
706			g.add_edge(size, size - 1)
707			g.add_edge(0, size * 2 - 1)
708			g.name = f'Ladder Möbius Ring[{size}]'
709			return g
710
711
712			def _cylinder_edges(circumference: int, length: int) -> Iterable[tuple[int, int]]:
713			for k in range(length):
714			start = k * circumference
715			stop = (k + 1) * circumference - 1
716			if k > 0:
717			yield start, start - circumference
718			yield stop, stop - circumference
719			for i in range(start, stop):
720			yield i, i + 1
721			if k > 0:
722			yield i, i - circumference
723			yield stop, start
724
725
726			def cylinder_graph(circumference: int, length: int) -> nx.Graph:
727			g = nx.Graph(_cylinder_edges(circumference, length))
728			g.name = f'Cylinder[circumference={circumference},length={length}]'
729			return g
730
731
732			def _spiral_edges(n, k) -> Iterable[tuple[int, int]]:
733			for i in range(n):
734			yield i, i + 1
735			if i - k >= 0:
736			yield i, i - k
737			yield n, n - k
738
739
740			def spiral_graph(n, k) -> nx.Graph:
741			g = nx.Graph(_spiral_edges(n, k))
742			g.name = f'Spiral[n={n},k={k}]'
743			return g
744
745
746			def _spiral_torus_edges(n, k) -> Iterable[tuple[int, int]]:
747			yield from _spiral_edges(n - 1, k)
748			yield n - 1, 0
749			for i in range(k):
750			yield i, n - k + i
751
752
753			def spiral_torus_graph(n, k) -> nx.Graph:
754			g = nx.Graph(_spiral_torus_edges(n, k))
755			g.name = f'Spiral Torus[n={n},k={k}]'
756			return g
757
758
759			def k_regular_edges(n, k) -> Iterable[tuple[int, int]]:
760			yield from itertools.chain.from_iterable(
761			((i, j) for j in range(i + 1, i + k + 1))
			0 ignored issues – show Comprehensibility Best Practice introduced 2025-02-09 20:56 UTC by Report Bug Copy Issue Report The variable `j` does not seem to be defined. Loading history...
762			for i in range(n-k))
763
764			def k_regular_graph(n, k) -> nx.Graph:
765			g = nx.Graph(k_regular_edges(n, k))
766			g.name = f'Generalized Buckyball[n={n},k={k}]'
767			return g
768
769
770			def adjacency_edges(adjacency_list: AdjacencyList) -> Iterable[tuple[int, int]]:
771			yield from itertools.chain.from_iterable(
772			((k, t) for t in v)
			0 ignored issues – show Comprehensibility Best Practice introduced 2023-09-24 05:54 UTC by Report Bug Copy Issue Report The variable `t` does not seem to be defined. Loading history...
773			for k, v
774			in adjacency_list.items()
775			)
776
777
778			def from_adjacency_lists(adjacency_lists: dict[str, AdjacencyList]) -> dict[str, nx.Graph]:
779			items = (
780			(name, adjacency_edges(adjacency_list))
			0 ignored issues – show Comprehensibility Best Practice introduced 2025-01-28 22:12 UTC by Report Bug Copy Issue Report The variable `adjacency_list` does not seem to be defined. Loading history... Comprehensibility Best Practice introduced 2025-01-28 22:12 UTC by Report Bug Copy Issue Report The variable `name` does not seem to be defined. Loading history...
781			for name, adjacency_list
782			in adjacency_lists.items()
783			)
784
785			return {n: nx.Graph(list(e)) for n, e in items}
786
787
788			def special_graphs():
789			return from_adjacency_lists(SPECIAL_GRAPHS_ADJACENCY_LISTS)
790
791
792			def atlas():
793			"""
794			Generate a dictionary of various graph structures and models based on the provided atlas.
795			The function creates different types of graphs and models using NetworkX library.
796			The generated graphs include Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron, Tesseract, Truncated Cube,
797			Truncated Tetrahedron, Ladder, Ring, Möbius, Cylinder, Spiral, Spiral Torus, and Circulant[10,[2]].
798			Additionally, the function includes adjacency mappings for specific named graphs like
799			Buckyball - Truncated Icosahedral Graph, D30 - Rhombic Triacontahedral Graph, Small Rhombicosidodecahedral Graph,
800			Small Rhombicuboctahedral Graph, Great Rhombicosidodecahedral Graph, Disdyakis Dodecahedral Graph,
801			Deltoidal Icositetrahedral Graph, Icosidodecahedral Graph, Deltoidal Hexecontahedral Graph, Kocohl74,
802			Utility Graph, Errara Graph, and Dragon Curve Blob 6.
803			The adjacency mappings define the connections between nodes in each named graph.
804			The function returns a dictionary
805			containing the named graphs as keys and their corresponding NetworkX graph objects as values.
806			"""
807
808			graph_atlas = {
809			'Triangle': nx.cycle_graph(3),
810			'Square': nx.cycle_graph(4),
811			'Square Lattice[3,3]': nx.grid_2d_graph(3, 3),
812			'Pentagon': nx.cycle_graph(5),
813			'Hexagon': nx.cycle_graph(6),
814			'Heptagon': nx.cycle_graph(7),
815			'Octagon': nx.cycle_graph(8),
816			'Tetrahedron': nx.tetrahedral_graph(),
817			'Cube': nx.hypercube_graph(3),
818			'Octahedron': nx.octahedral_graph(),
819			'Dodecahedron': nx.dodecahedral_graph(),
820			'Icosahedron': nx.icosahedral_graph(),
821			'Tesseract': nx.hypercube_graph(4),
822			'Hypercube[5]': nx.hypercube_graph(5),
823			'Truncated Cube': nx.truncated_cube_graph(),
824			'Truncated Tetrahedron': nx.truncated_tetrahedron_graph(),
825			'Ladder[16]': nx.ladder_graph(16),
826			'Ladder Ring[16]': ladder_ring_graph(16),
827			'Ladder Möbius Ring[16]': ladder_mobius_graph(16),
828			'Cylinder[6,8]': cylinder_graph(6, 8),
829			'Spiral[128,8]': spiral_graph(128, 8),
830			'Spiral Torus[128,8]': spiral_torus_graph(128, 8),
831			'Chvátal': nx.chvatal_graph(),
832			'Circulant[10,[2]]': nx.circulant_graph(10, [2]),
833			'Desargues': nx.desargues_graph(),
834			'Dorogovtsev-Goltsev-Mendes[4]': nx.dorogovtsev_goltsev_mendes_graph(4),
835			'Frucht': nx.frucht_graph(),
836			'Heawood': nx.heawood_graph(),
837			'Hoffman-Singleton': nx.hoffman_singleton_graph(),
838			# 'Margulis-Gabber-Galil[8]': nx.margulis_gabber_galil_graph(8),
839			'Papus': nx.pappus_graph(),
840			'Petersen': nx.petersen_graph(),
841			'Sedgewick Maze': nx.sedgewick_maze_graph(),
842			'Tutte': nx.tutte_graph(),
843			}
844
845			graph_atlas.update(special_graphs())
846
847			def clean(s: str):
848			# Remove invalid characters
849			s = re.sub('[^0-9a-zA-Z_]', '_', s)
850
851			# Remove leading characters until we find a letter or underscore
852			s = re.sub('^[^a-zA-Z_]+', '', s)
853
854			return s
855
856			for name, g in graph_atlas.items():
857			_type = clean(name).capitalize()
858			nx.set_node_attributes(g, _type, 'type')
859			nx.set_edge_attributes(g, _type, 'type')
860
861			return graph_atlas
862
863

erivlis / graphinate

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math.graphs.spiral_torus_graph() A

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