“…For the possible alternatives for the social network search, computation and structuring of every arc usually focus on expressing the whole social network graph [1,3,7,22]. Nevertheless, from the perspective of navigation, redundant hyperlinks can lead to excessive cost to operate computing each and every links [5,12,24], and overly complicated process of considering the circuit path problem which causes inefficiency of the social network search [7,10,11,13,21]. Hence, unlike typical network analysis, it is enormously significant in social network search to generate an efficient graph and for its structure search.…”