Link Algebra: A new aproach to graph theory
Abstract
In this paper we develop a structure called Link Algebra, in which we present a Set with two binary operations and an axiom system developed from the study of graph theory and set/antiset theory, sowing main theorems and definitions. Once introduced Link Algebra, we will show the aplication on graph theory, like defining Paths, cycles and stars. Finally, we will se an alternative axiomatizations with Multisets and ordered pairs to algebraicaly define mutli, pseudo and oriented graphs.
Cite
@article{arxiv.1103.3539,
title = {Link Algebra: A new aproach to graph theory},
author = {Alfonso Bustamante},
journal= {arXiv preprint arXiv:1103.3539},
year = {2011}
}
Comments
minor changes. instead "conective" in some paragraphs and definitions, now there is written "link". in section 4.3, title changed from "objejts in conective algebra" to "objects in link algebra", an finnaly a small observation in the definition 4.28 and a latex sintaxis error in 4.27. other minor correction about the appearance of the previous uncorrected vertion with the new