Measure Theory on Graphs
组合数学
2007-05-23 v1
摘要
In this paper, we defined three kinds of measures depending on the given finite directed graphs. For the given finite directed graph, we can construct the free semigroupoid, the diagram set and the reduced diagram set, as algebraic structures determined by the admissibility on the graph. The power sets of such structures are sigma algebras of them, respectively. On them, we can define a measure. The pain purpose of this paper is to introduce those three measures and observe some properties of them. Moreover, we consider Measure Theory on them
引用
@article{arxiv.math/0602025,
title = {Measure Theory on Graphs},
author = {Ilwoo Cho},
journal= {arXiv preprint arXiv:math/0602025},
year = {2007}
}
备注
29 pages