Comment on "Maximal planar networks with large clustering coefficient and power-law degree distribution"

TL;DR

This paper corrects an error in the degree distribution calculation of random Apollonian networks, providing the accurate probability distribution that a node has exactly k edges.

Contribution

It identifies and corrects a specific error in the previous calculation of the degree distribution for random Apollonian networks.

Findings

Corrected the degree distribution formula for random Apollonian networks

Provided the accurate probability expression P(k)∝1/[k(k+1)(k+2)]

Clarified the mathematical properties of the network model

Abstract

This Comment corrects the error which appeared in the calculation of the degree distribution of random apollonian networks. As a result, the expression of $P(k)$, which gives the probability that a randomly selected node has exactly $k$ edges, has the form $P(k)\propto 1/[k(k+1)(k+2)]$.