Topology of Cayley Graphs Applied to Inverse Additive Problems
Combinatorics
2010-11-09 v1 Number Theory
Abstract
We present proofs of the basic isopermetric structure theory, obtaining some new simplified proofs. As an application, we obtain simple descriptions for subsets of an abelian group with or where These results may be applied to several questions in Combinatorics and Additive Combinatorics (Frobenius Problem, Waring's problem in finite fields and Cayley graphs with a big diameter, ....).
Keywords
Cite
@article{arxiv.1011.1797,
title = {Topology of Cayley Graphs Applied to Inverse Additive Problems},
author = {Yahya Ould Hamidoune},
journal= {arXiv preprint arXiv:1011.1797},
year = {2010}
}