| Title |
Spatial Configuration Analysis Using the Eigenvector Ratio of Adjacency Matrix |
| Authors |
Choi Jae-Pil ; Cho Hyeong-Kyu ; Choi Hyun-Chul ; Hwang Yong-Ha |
| Keywords |
공간분석 ; 공간구문론 ; 인접행렬 ; 고유벡터 ; 가중치 ; 성분비공간분석 ; 공간구문론 ; 인접행렬 ; 고유벡터 ; 가중치 ; 성분비 |
| Abstract |
The purpose of the ERAM model proposed in this paper is to analyze the spatial importance immanent in the intrinsic structure of spaces. Use of the adjacency matrix representing the connection of spaces makes it possible to analyze the spatial structure itself. On the assumption that a large number of people move continually at random in the system, the ratio of elements in any row of the n-th power of the adjacency matrix means the ratio of people of all nodes in equilibrium. Mathematically, it is the ratio of eigenvector corresponding to the dominant (maximum) eigenvalue, Therefore it is the attribute immanent in the structure of spaces itself. Moreover, it is possible to consider the relative level of attraction of spaces and the relative flow from spaces to spaces only by putting the gravity on the adjacency matrix. The ERAM model brings forth the flexible result reflecting the relativity of spaces and flows. |