Titlebook: Algorithms and Models for the Web Graph; 16th International W Konstantin Avrachenkov,Pawe? Pra?at,Nan Ye Conference proceedings 2019 Spring

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A Spatial Small-World Graph Arising from Activity-Based Reinforcement,ndom graph model in a spatial setting, where such a time-variability arises from an activity-based reinforcement mechanism. We show that the reinforcement mechanism converges, and prove rigorously that the resulting random graph exhibits the small-world property. A further motivation for this random