On 3rd-Dimensional Product of Vertex Measurable Graphs

作     者：Rand Alfaris S. Ahmed 

作者机构：Higher college of Technology Muscat Oman 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2014年第4卷第11期

页      面：725-731页

学科分类：081603[工学-地图制图学与地理信息工程] 081802[工学-地球探测与信息技术] 07[理学] 08[工学] 070503[理学-地图学与地理信息系统] 0818[工学-地质资源与地质工程] 070104[理学-应用数学] 0705[理学-地理学] 0816[工学-测绘科学与技术] 0701[理学-数学] 

主　　题：Product of vertex measurable graphs. 

摘      要：In this paper, first, a 3rd-dimensional vertex measurable graphs G is defined, which is an extension of the concept that was introduced in [3]. G = G1 × G2 × G3 is a graph defined over algebra ζ1 ×ζz × ζ3, which consists of all vertex sets that produce sub graphs of G. G1,G2, and G3 are three simple graphs, provided that （G1,ζ1）,（G2,ζz）, and （G3,ζ3） are three vertex measure spaces. Second, in order to maximize the edge＇s set, we present an alternative version of the definition of two-dimension Cartesian product of vertex measurable graphs that was given in [3], with preserving the same properties of the graphs and sub graphs that were illustrated.