Showing papers on "Betweenness centrality published in 1984"
TL;DR: In this paper, a new betweenness in K, denoted by Open image in new window, (r>0) is defined and studied, and it is shown that its restriction to Open image-in-new-window is precisely Open image -betweenness for a certain ν, and a characterization of it is obtained which is expected to facilitate later investigations of complex spaces.
Abstract: This paper introduces terminology enabling the discussion of centerrelated betweennesses defined with respect to centers other than the origin. Thus, it is then proved that the familiar Open image in new window -betweenness in Open image in new window which is origin-centered, is equivalent to a non-origin-centered Open image in new window -betweenness in one lower dimension. A new betweenness inK, denoted by Open image in new window , (r>0), is defined and studied, and it is shown that its restriction to Open image in new window is precisely Open image in new window -betweenness for a certain ν. Finally, by a method elaborated in the earlier papers, a new betweeness, Open image in new window , is induced on the upper open-hemisphere-plus-a-point in 3-space, and a characterization of it is obtained which is expected to facilitate later investigations of betweenness is complex spaces.