We propose a new metric, Link Influence Entropy (LInE), that can capture link/node influences and influence stability of nodes in a network.
LInE can identify nodal importance based on link influence which degree based centrality or betweenness centrality cannot differentiate.
It is found that spatial wireless networks and regular grid networks, respectively, demonstrate the lowest and highest LInE values.
LInE has been extensively studied on various example real-world and arbitrary networks and proved its novelty.
Usefulness of LInE is highlighted in estimating the influence stability of nodes in a dynamic network.