基于图运算和基图的网络模型  

Constructing Network Models by Graph Operations and Based Graphs

作　　者：张小慧 孙慧 刘信生 姚兵 ZHANG Xiao-hui SUN Hui LIU Xin-sheng YAO Bing(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070 [2]兰州交通大学电子与信息工程学院,甘肃兰州730070

出　　处：《数学的实践与认识》2017年第18期252-259,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61163054;61363060;61662066)

摘　　要：给出了图的基本运算,例如直和、笛卡尔积、强积、弱积等运算,并定义一种新的基于一个基的图运算,即图的基运算,通过图的基运算构造网络模型,研究这些模型的一些重要性质.The basic operation of graphs has been given in this paper, including join operation, cartesian product, strong product, weak product and so on, at the same time we define a new operation on the basis of a base, merely the base operation of graphs construct network models by base operation of graphs to some important properties of these models explore.

关 键 词：网络直和运算 笛卡尔积 基运算 哈密尔顿圈 

分 类 号：O157.5[理学—数学]