2006/02/01 by Ilwoo Cho, Cho, Ilwoo
Computer Science · Mathematics · #05xx #Advanced Algebra and Logic #Advanced Operator Algebra Research #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05xx
paper · pdf · doi:10.48550/arxiv.math/0602025
29 pages
arxiv created 2006/02/01 · openalex publication_date 2006/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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