The Matching Process and Independent Process in Random Regular Graphs and Hypergraphs
Document Type
Article
Publication Date
1-1-2023
Journal / Book Title
Electronic Journal of Combinatorics
Abstract
In this note, we analyze two random greedy processes on sparse random graphs and hypergraphs with a given degree sequence. First we analyze the matching process, which builds a set of disjoint edges one edge at a time; then we analyze the independent process, which builds an independent set of vertices one vertex at a time. We use the differential equations method and apply a general theorem of Warnke. Our main contribution is to significantly reduce the associated systems of differential equations and simplify the expression for the final size of the matching or independent set.
DOI
10.37236/10698
MSU Digital Commons Citation
Bal, Deepak and Bennett, Patrick, "The Matching Process and Independent Process in Random Regular Graphs and Hypergraphs" (2023). Department of Mathematics Faculty Scholarship and Creative Works. 256.
https://digitalcommons.montclair.edu/mathsci-facpubs/256
Published Citation
Bal, D., & Bennett, P. (2023). The Matching Process and Independent Process in Random Regular Graphs and Hypergraphs. The Electronic Journal of Combinatorics, 30(1), #P1.11. https://doi.org/10.37236/10698