In the table we list the alternating plane graphs discussed in the paper 'Alternating Plane Graphs'. If you click the index, then you can download the graphs in planar_code.

planar_code is a file format for storing planar graphs. It is a binary code that is easy and fast to compute and to decode. Every entry of the code is an unsigned char. The first entry is the number of vertices. After that there is a list of the vertices adjacent to vertex number 1 in clockwise orientation. This list is ended with a 0. Then you have the vertices adjacent to number 2 ended with a 0, etc.

In addition to the encodings of graphs, a planar code file by default begins with the 15 characters >>planar_code<< without end-of-line characters.

Graphs encoded in this format can be read and visualised by software such as CaGe. Programs to process planar_code can also be found on Github.

Index	Order	Faces	Group	Dual	Author	# of vertices of given degree								# of faces with given # of sides										Images
Index	Order	Faces	Group	Dual	Author	3	4	5	6	7	8	9	10	3	4	5	6	7	8	9	10	11	12	Images
1	17	17	C2	self-dual	Frank Schneider	8	5	4						8	5	4								image
2	17	17	C2	self-dual	Ghent group and Frank Schneider	8	5	4						8	5	4								image
3	19	19	C1	6	Ghent group	9	6	3	1					9	5	5								image
4	19	19	C3	self-dual	Ghent group	9	6	3	1					9	6	3	1							image
5	19	19	C1	self-dual	Ghent group	9	6	3	1					9	6	3	1							image
6	19	19	C1	3	Ghent group	9	5	5						9	6	3	1							image
7	19	19	C3	self-dual	Ghent group	9	6	3	1					9	6	3	1							image
8	20	20	C1	self-dual	Frank Schneider	9	6	5						9	6	5								image
9	21	21	C2	self-dual	Frank Schneider	10	5	6						10	5	6								image
10	22	22	C1	11	Frank Schneider	10	6	6						10	6	6								image
11	22	22	C1	10	Frank Schneider	10	6	6						10	6	6								image
12	22	22	C2	13	Frank Schneider	10	6	6						10	6	6								image
13	22	22	C2	12	Frank Schneider	10	6	6						10	6	6								image
14	23	23	C1	15	Frank Schneider	10	7	6						10	7	6								image
15	23	23	C1	14	Frank Schneider	10	7	6						10	7	6								image
16	23	23	C2	17	Frank Schneider	10	7	6						10	7	6								image
17	23	23	C2	16	Frank Schneider	10	7	6						10	7	6								image
18	24	24	C1	19	Frank Schneider	10	8	6						10	8	6								image
19	24	24	C1	18	Frank Schneider	10	8	6						10	8	6								image
20	25	25	C1	21	Katrin Nimczick and Lisa Scheiber	12	6	6	1					12	8	2	3							image
21	25	25	C1	20	Katrin Nimczick and Lisa Scheiber	12	8	2	3					12	6	6	1							image
22	25	25	C3	23	Karl Scherer	12	6	6	1					12	9	0	4							image
23	25	25	C3	22	Karl Scherer	12	9	0	4					12	6	6	1							image
24	25	25	C2	self-dual	Frank Schneider	10	9	6						10	9	6								image
25	25	25	C2	26	Karl Scherer	12	7	4	2					12	7	4	2							image
26	25	25	C2	25	Karl Scherer	12	7	4	2					12	7	4	2							image
27	26	26	C1	28	Frank Schneider	11	8	7						11	8	7								image
28	26	26	C1	27	Frank Schneider	11	8	7						11	8	7								image
29	27	27	C1	self-dual	Frank Schneider	11	9	7						11	9	7								image
30	28	28	C1	self-dual	Frank Schneider	11	10	7						11	10	7								image
31	29	29	C1	32	Frank Schneider	12	9	8						12	9	8								image
32	29	29	C1	31	Frank Schneider	12	9	8						12	9	8								image
33	29	31	C1	37	Karl Scherer	12	8	6	3					15	9	7								image
34	30	30	C1	36	Frank Schneider	12	10	8						12	10	8								image
35	30	33	C1	46	Frank Schneider	12	9	5	3	1				16	11	6								image
36	30	30	C1	34	Frank Schneider	12	10	8						12	10	8								image
37	31	29	C1	33	Karl Scherer	15	9	7						12	8	6	3							image
38	31	31	C1	self-dual	Frank Schneider	12	11	8						12	11	8								image
39	32	32	C1	self-dual	Frank Schneider	12	12	8						12	12	8								image
40	32	32	C1	41	Frank Schneider	13	10	9						13	10	9								image
41	32	32	C1	40	Frank Schneider	13	10	9						13	10	9								image
42	32	32	C2	43	Karl Scherer	14	10	6	2					16	8	6	1	0	1					image
43	32	32	C2	42	Karl Scherer	16	8	6	1	0	1			14	10	6	2							image
44	33	33	C1	45	Frank Schneider	13	11	9						13	11	9								image
45	33	33	C1	44	Frank Schneider	13	11	9						13	11	9								image
46	33	30	C1	35	Frank Schneider	16	11	6						12	9	5	3	1						image
47	33	33	C2	49	Karl Scherer	14	10	8	1					16	8	8	0	0	1					image
48	33	33	C2	50	Karl Scherer	16	11	2	2	2				16	8	6	3							image
49	33	33	C2	47	Karl Scherer	16	8	8	0	0	1			14	10	8	1							image
50	33	33	C2	48	Karl Scherer	16	8	6	3					16	11	2	2	2						image
51	34	34	C1	52	Frank Schneider	13	12	9						13	12	9								image
52	34	34	C1	51	Frank Schneider	13	12	9						13	12	9								image
53	34	32	C2	no dual	Karl Scherer	16	10	8						16	8	6	0	0	1	0	1			image
54	34	33	C1	no dual	Karl Scherer	16	10	6	2					15	8	8	1	1						image
55	34	34	C1	no dual	Karl Scherer	16	10	5	2	1				16	9	8	0	0	1					image
56	35	35	C1	self-dual	Frank Schneider	13	13	9						13	13	9								image
57	35	35	C2	no dual	Karl Scherer	16	11	4	4					16	10	8	0	0	1					image
58	35	36	C1	59	Karl Scherer	17	10	4	2	1	1			17	10	8	0	1						image
59	36	35	C1	58	Karl Scherer	17	10	8	0	1				17	10	4	2	1	1					image
60	36	36	C1	61	Frank Schneider	14	12	10						14	12	10								image
61	36	36	C1	60	Frank Schneider	14	12	10						14	12	10								image
62	36	34	C1	no dual	Karl Scherer	17	11	7	1					15	9	7	2	0	1					image
63	37	37	C1	self-dual	Frank Schneider	14	13	10						14	13	10								image
64	37	37	C2	65	Karl Scherer	16	11	8	2					16	10	10	1							image
65	37	37	C2	64	Karl Scherer	16	10	10	1					16	11	8	2							image
66	37	38	C1	70	Karl Scherer	17	10	6	3	1				18	10	9	0	1						image
67	37	39	C2	77	Karl Scherer	16	10	8	2	0	1			18	11	10								image
68	38	38	C1	self-dual	Frank Schneider	14	14	10						14	14	10								image
69	38	36	C2	no dual	Karl Scherer	18	12	6	2					18	9	6	2	0	0	0	0	0	1	image
70	38	37	C1	66	Karl Scherer	18	10	9	0	1				17	10	6	3	1						image
71	38	38	C1	72	Karl Scherer	18	10	6	4					18	10	7	2	1						image
72	38	38	C1	71	Karl Scherer	18	10	7	2	1				18	10	6	4							image
73	38	39	C1	78	Karl Scherer	17	10	9	1	0	1			18	10	10	1							image
74	39	39	C1	75	Frank Schneider	14	15	10						14	15	10								image
75	39	39	C1	74	Frank Schneider	14	15	10						14	15	10								image
76	39	37	C1	no dual	Karl Scherer	18	11	10						18	8	8	2	0	0	0	1			image
77	39	37	C2	67	Karl Scherer	18	11	10						16	10	8	2	0	1					image
78	39	38	C1	73	Karl Scherer	18	10	10	1					17	10	9	1	0	1					image
79	39	39	C2	80	Karl Scherer	18	9	10	2					18	10	10	0	0	1					image
80	39	39	C2	79	Karl Scherer	18	10	10	0	0	1			18	9	10	2							image
81	40	40	C1	82	Frank Schneider	15	14	11						15	14	11								image
82	40	40	C1	81	Frank Schneider	15	14	11						15	14	11								image
83	40	42	D2	85	Karl Scherer	16	10	12	2					20	10	12								image
84	41	41	C1	self-dual	Frank Schneider	15	15	11						15	15	11								image
85	42	40	D2	83	Karl Scherer	20	10	12						16	10	12	2							image
86	42	42	C1	87	Frank Schneider	15	16	11						15	16	11								image
87	42	42	C1	86	Frank Schneider	15	16	11						15	16	11								image
88	44	42	C2	no dual	Karl Scherer	20	12	12						18	10	12	1	0	1					image