English

Connecting boundary and interior - "Gauss's law" for graphs

Statistical Mechanics 2015-03-18 v1

Abstract

The Gauss's law, in an abstract sense, is a theorem that relates quantities on the boundary (flux) to the interior (charge) of a surface. An identity for soap froths were proved with the same boundary-interior relation. In this article, we try to construct a definition of flux for other graphs, such that a similar boundary-interior relation can be satisfied.

Keywords

Cite

@article{arxiv.1101.5383,
  title  = {Connecting boundary and interior - "Gauss's law" for graphs},
  author = {Ching King Chan and Kwok Yip Szeto},
  journal= {arXiv preprint arXiv:1101.5383},
  year   = {2015}
}

Comments

6 pages