Published August 24, 2025 | Version v1
Working paper Open

An Algorithm for Distributing a Resource among the Vertices of a Dynamic DAG

Description

We present an algorithm for distributing a fixed quantity of resources among the vertices of a directed acyclic graph (DAG), where vertices can be toggled on or off, and new vertices and edges may be added over time. Central to the algorithm is a generalization of the genetic coefficient of relationship to arbitrary DAGs.

Files

An_Algorithm_for_Distributing_a_Resource_among_the_Vertices_of_a_Dynamic_Directed_Acyclic_Graph.pdf

Additional details

References

  • Sewall Wright, Coefficients of inbreeding and relationship, The American Naturalist 56 (1922), no. 645, 330–338.