Bonacich Power

#1
I am working on some network statistics, and used Bonacich Power as one of my centrality measures. I understand that by choosing the beta parameter < 0, would mean that nodes connected to nodes that are less well connected would have higher power. I have two questions
(1) How would one interpret the average bonacich power of a network? Does higher power mean that the network, on average, have more nodes that are connected with other isolated nodes?
(2) Can there be negative power in this case? Does negative power (in the case where beta < 0), mean that most nodes are connected to other very well connected nodes?


Thank you!