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Network morphospace.

Andrea Avena-Koenigsberger1, Joaquín Goñi2, Ricard Solé3

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|December 26, 2014
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Summary
This summary is machine-generated.

Complex network structures share common features, prompting questions about their evolutionary origins. Introducing the "network morphospace" unifies network science and theoretical morphology to analyze these commonalities.

Keywords:
Pareto optimalitybrain connectivitycomplexityevolutiongraph theory

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Area of Science:

  • Complex systems
  • Network science
  • Theoretical morphology

Background:

  • Real-world complex networks exhibit shared architectural features.
  • The origin of these commonalities is debated: design principles versus evolutionary constraints.
  • Understanding network topology evolution requires a framework to relate diverse network forms.

Purpose of the Study:

  • To introduce and explore the concept of 'network morphospace'.
  • To bridge theoretical morphology and network science for analyzing network structure.
  • To provide a framework for understanding the evolution of complex network topology.

Main Methods:

  • Combining concepts from theoretical morphology and network science.
  • Defining a 'network morphospace' using axes of specific network traits.
  • Mapping existing networks within this morphospace to identify patterns and constraints.

Main Results:

  • The network morphospace provides a unified space to represent diverse network architectures.
  • Mapping reveals which network designs are actualized and which are impossible.
  • The framework highlights generative rules and constraints in complex system evolution.

Conclusions:

  • The network morphospace offers a novel theoretical concept at the intersection of morphology and network science.
  • It allows for the systematic analysis of network form and the forces driving their evolution.
  • This approach can distinguish between feasible and infeasible network designs based on their evolutionary context.