On local matching property in groups and vector space

2018/08/03 by Mohsen Aliabadi, Aliabadi, Mohsen, Mano Vikash Janardhanan +1 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1808.02368

openalex publication_date 2018/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define locally matchable subsets of a group which is derived from the concept of matchings in groups and used as a tool to give alternative proofs for existing results in matching theory. We also give the linear analogue of local matching property for subspaces in a field extension. Our tools mix additive number theory, combinatorics and algebra.

Citations

• On Representatives of Subsets

Cited by

• Matchings in Matroids over Abelian Groups, III
• Characterization of matchable sets and subspaces via Dyson transforms

Related

• On local matchability in groups and vector spaces
• On matchable subsets in abelian groups and their linear analogues
• Conditions for matchability in groups and field extensions
• Conditions for matchability in groups and field extensions II
• Matching subspaces in a field extension