centrality n 1: the property of being central [ant: {marginality}]
Centrality \Cen*tral"i*ty\, n.; pl. {Centralities}. The state of being central; tendency towards a center. [1913 Webster] Meantime there is a great centrality, a centripetence equal to the centrifugence. --R. W. Emerson. [1913 Webster]