Spatial preferential attachment with choice-based edge step

TL;DR

This paper investigates how the maximum in-degree evolves in a spatial preferential attachment model that incorporates a choice-based edge step, revealing different behaviors depending on model parameters.

Contribution

It introduces an analysis of the asymptotic behavior of maximal in-degree in a spatial preferential attachment model with choice-based edge steps, highlighting parameter-dependent behaviors.

Findings

Different types of maximal in-degree behavior depending on parameters

Asymptotic analysis of maximal in-degree in the model

Theoretical characterization of in-degree growth patterns

Abstract

We study the asymptotic behavior of the maximal in-degree in the spatial preferential attachment model with a choice-based edge step. We prove different types of behavior of maximal in-degree based on the model's parameters.