A number theoretic problem on super line graphs

Peer review under responsibility of Kalasalingam University.

Figures & data

Fig. 1 The line graph operation.

Fig. 2 The path graph operation.

Fig. 3 An example of a super line graph of index 2.

Table 1 Several values for Type II(a): Both and odd, .

				Base value
13	21	27	43	286	286
13	22	27	45	299	300
14	23	29	47	336	336
17	28	35	57	493	494
17	29	35	59	510	512

Table 2 Several values for Type II(a) for .

		Optimum
100	100–136	Base case
	137–145
	146–152	Base case
	153–177
	178–185
	186–188
	189–192
	193–196
	197–201	Base case

Table 3 Some values for Type III with even and odd.

				Base value
5	5	10	11	25	25
5	7	10	15	35	36
5	9	10	19	45	45
6	6	12	13	36	36
6	7	12	15	42	42
6	8	12	17	48	49
6	9	12	19	54	55

Table 4 Some values for Type IV with odd and even.

				Base value
3	6	7	12	18	20
4	6	9	12	24	25
4	7	9	14	28	30
5	6	11	12	30	30
5	7	11	14	35	36
6	7	13	14	42	42