Flag-Transitive 6-(v, k, 2) Designs

Abstract

The automorphism group of a flag-transitive 6-(v, k, 2) design is a 3-homogeneous permutation group. Therefore, using the classification theorem of 3-homogeneous permutation groups, the classification of flag-transitive 6-(v, k,2) designs can be discussed. In this paper, by analyzing the combination quantity relation of 6-(v, k, 2) design and the characteristics of 3-homogeneous permutation groups, it is proved that: there are no 6-(v, k, 2) designs D admitting a flag transitive group G ≤ Aut (D) of automorphisms.

Investigation about the Impact of Tourism Development on a Water Conservation Area in Taiwan

“…Tourism impacts may be categorized generally as economic, social, and environmental impacts, which may be further subdivided into 18 (e.g., Job opportunities) [9,11,12,25], 24 (e.g., Increased popularity of local areas) [6,9,11,12,25], and 25 (e.g., Community environment management) [4,7,14,18,19,25] different issues, respectively. These issues were synthesized to produce an edited questionnaire about the impacts of tourism on Sun Moon Lake, as shown in Table 1.…”

“…The interaction between humankind and the environment will affect an area over the passage of time [7,14]. Therefore, a tourist area will be affected by interactions among residents, tourists, and the environment during the processes of tourism development.…”

“…Hence, tourism development without sustainability considerations usually results in net losses [11]. To solve the problems of tourism development, investigations have been conducted since 1970 on the effects of tourism development from the perspective of local residents [5,6,14,15]. Because tourism is based on the provision of travel experiences to tourists, in some later studies, local phenomena have also investigated tourist perceptions and feelings [16,17].…”