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How to be influential being weakly connected
Physica D: Nonlinear Phenomena ( IF 4 ) Pub Date : 2020-07-22 , DOI: 10.1016/j.physd.2020.132644
Malgorzata J. Krawczyk , Krzysztof Kułakowski

A new algorithm is formulated to maximize actor’s eigencentrality by rewiring links as to connect actors with the largest eigencentrality. The algorithm is used to model the process of formation of oligarchy in a social network. During the time evolution, activity of actors can be switched on or off. A node can be active only if its degree fits to a prescribed range. Three stages of time evolution are distinguished. During the first stage the number of active nodes evolves to some stationary value. During the second stage a selected group of actors are active and they modify their connections to other actors. At a third stage the network is frozen in an absorbing state, where either any activity dies out, or an ‘oligarchic’ group of active actors emerges, represented by a complete graph. The size of this group is determined by the maximal allowed degree and it does not depend on the system size. Therefore, the concentration of power increases with the system size. This result is consistent with sociological theory.



中文翻译:

弱势联系如何产生影响

制定了一种新算法,通过重新链接链接以将演员与最大本征中心联系起来,以最大化演员的本征中心。该算法用于对社交网络中寡头形成的过程进行建模。在时间演变过程中,可以打开或关闭演员的活动。仅当节点的度数达到指定范围时,该节点才能处于活动状态。时间演化分为三个阶段。在第一阶段,活动节点的数量演变为某个固定值。在第二阶段中,一组选定的演员处于活动状态,他们修改了与其他演员的联系。在第三阶段,网络被冻结为吸收状态,在此状态下,任何活动都消失了,或者出现了由完整图表示的“寡头”活动角色组。该组的大小由最大允许程度确定,并且不取决于系统大小。因此,功率的集中度随系统大小而增加。这个结果与社会学理论是一致的。

更新日期:2020-07-22
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