TAILIEUCHUNG - Biomedical Engineering Trends in Electronics Communications and Software Part 17

Tham khảo tài liệu 'biomedical engineering trends in electronics communications and software part 17', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 630 Biomedical Engineering Trends in Electronics Communications and Software Here Q No F G 2 3 Qmax 4 then prune ự checkmark in Fig. 3 b . The searching proceeds from the right to the left as shown in Fig. 3 b . As a result the maximum clique in G1 is Qmax A B C D . Algorithm MCS Algorithm MCS 39 49 50 is a further improved version of MCR. New approximate coloring When vertex r is selected if No r Qmax Q then it is not necessary to search from vertex r by the bounding condition as mentioned in Sect. . The number of vertices to be searched can be reduced if the Number No p of vertex p for which No p Qmax Q can be changed to a value less than or equal to Qmax Q . When we encounter such vertex p with No p Qmax Q Noth Noth stands for Nothreshold we attempt to change its Number in the following manner 16 . Let Nop denote the original value of No p . Re-NUMBER p 1 Attempt to find a vertex q in r p such that No q k1 Noth with Ck11 1. 2 If such q is found then attempt to find Number k2 such that no vertex in r q has Number k2. 3 If such number k2 is found then change the Numbers of q and p so that No q k2 and No p k1. If no vertex q with Number k2 is found nothing is done. When the vertex q with Number k2 is found No p is changed from Nop to k1 Noth thus it is no longer necessary to search from p. Adjunct ordered set of vertices for approximate coloring The ordering of vertices plays an important role in the algorithm as demonstrated in 12 10 46 48 . In particular the procedure Numbering strongly depends on the order of vertices since it is a sequential coloring. In our new algorithm we sort the vertices in the same way as in MCR 48 at the first stage. However the vertices are disordered in the succeeding stages owing to the application of Re-NUMBER. In order to avoid this difficulty we employ another adjunct ordered set Va of vertices for approximate coloring that preserves the order of vertices appropriately sorted in the first stage. Such a .

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