Barabasi-Albert trees are hypoenergetic
Octavio Arizmendi, Emilio Dominguez
TL;DR
This paper proves that Barabasi-Albert trees become hypoenergetic as the number of vertices grows large, contributing to the understanding of spectral properties of scale-free networks.
Contribution
It establishes that Barabasi-Albert trees are hypoenergetic in the large n limit, a new spectral property for this network model.
Findings
Barabasi-Albert trees are hypoenergetic for large n
Spectral properties of scale-free networks are characterized
The result applies asymptotically as n increases
Abstract
We prove that graphs following the model of Barabasi-Albert tree with n vertices are hypoenergetic in the large n limit.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Graph theory and applications · Theoretical and Computational Physics