Self-organization of structures and networks from merging and small-scale fluctuations

TL;DR

This paper explores a self-organizing process called merging-and-creation that leads to scale-free network topologies, identifying three classes with distinct power-law exponents and linking merging to network optimization.

Contribution

It introduces a generalized merging-and-creation process for networks, characterizing three classes of scale-free topologies based on power-law exponents.

Findings

Identified three classes of scale-free topologies with exponents 3/2, 2, and 5/2.

Linked merging processes to network optimization and efficient signaling.

Provided a theoretical framework for self-organization in networks.

Abstract

We discuss merging-and-creation as a self-organizing process for scale-free topologies in networks. Three power-law classes characterized by the power-law exponents 3/2, 2 and 5/2 are identified and the process is generalized to networks. In the network context the merging can be viewed as a consequence of optimization related to more efficient signaling.