Point patterns occurring on complex structures in space and space-time: An alternative network approach

TL;DR

This paper introduces a novel network-based framework for analyzing multitype point patterns on complex space and space-time network structures, providing flexible intensity measures that handle various network directions and geometries.

Contribution

It presents an alternative formalism for analyzing point patterns on networks, accommodating directed, undirected, and partially directed structures with new graph-related intensity measures.

Findings

Developed a flexible network-based analysis framework.

Introduced new graph-related intensity measures.

Applicable to various network geometries and directions.

Abstract

This paper presents an alternative approach of analyzing possibly multitype point patterns in space and space-time that occur on network structures, and introduces several different graph-related intensity measures. The proposed formalism allows to control for processes on undirected, directional as well as partially directed network structures and is not restricted to linearity or circularity.