Efficient orbit-aware triad and quad census in directed and undirected graphs

Applied Network Science

Table 1 Mapping of code(u,v,w) to the triad and the orbits of u,v,w

Code	Triad	Orbits			Code	Triad	Orbits			Code	Triad	Orbits			Code	Triad	Orbits
		u	v	w			u	v	w			u	v	w			u	v	w
0	003	0	0	0	16	012	3	1	2	32	012	1	3	2	48	021D	12	12	11
1	012	2	3	1	17	021C	6	8	7	33	021U	10	9	10	49	030T	24	22	23
2	012	2	1	3	18	102	5	4	5	34	021C	7	8	6	50	111U	15	13	14
3	021D	11	12	12	19	111U	14	13	15	35	030T	23	22	24	51	120U	26	25	26
4	012	3	2	1	20	021U	9	10	10	36	021C	8	6	7	52	030T	22	24	23
5	102	5	5	4	21	111D	17	18	16	37	111D	18	17	16	53	120D	28	28	27
6	021C	6	7	8	22	111D	17	16	18	38	030C	21	21	21	54	120C	31	29	30
7	111U	14	15	13	23	201	20	19	19	39	120C	30	31	29	55	210	33	34	32
8	012	1	2	3	24	021C	8	7	6	40	102	4	5	5	56	111U	13	15	14
9	021C	7	6	8	25	030C	21	21	21	41	111D	16	17	18	57	120C	29	31	30
10	021U	10	10	9	26	111D	18	16	17	42	111D	16	18	17	58	201	19	19	20
11	030T	23	24	22	27	120C	30	29	31	43	120D	27	28	28	59	210	32	34	33
12	021D	12	11	12	28	030T	22	23	24	44	111U	13	14	15	60	120U	25	26	26
13	111U	15	14	13	29	120C	31	30	29	45	201	19	20	19	61	210	34	33	32
14	030T	24	23	22	30	120D	28	27	28	46	120C	29	30	31	62	210	34	32	33
15	120U	26	26	25	31	210	33	32	34	47	210	32	33	34	63	300	35	35	35