Then, the Hamilton cycle for m can be obtained in this case as per the following figure (only above possible cases).
As an example, Figure 15 shows a hamilton cycle for m = 3, k = 8, l = 4.
To construct a Hamilton cycle for any m [greater than or equal to] 2, we take m copies of the Hamilton cycle of [P.
If m = 1 and l [greater than or equal to] 1, then the Hamilton cycle is H: [a.
If m = 2 and l = 0, then the Hamilton cycle in this case is [H.
If m = 2 and l [greater than or equal to] 1, then the Hamilton cycle in this case is [H.
Now for any even m and any l, we can construct the Hamilton cycle, starting from [H.
4k+l], from left to right in order, we see that the new Hamilton cycle [H.
These cases are considered in the construction of desired Hamilton cycles in the following.
For the cases n = 10 and n = 11, the Hamilton cycles are shown respectively in the Figure 19 and Figure 20.