单一4-边形环己烷类分子图的l_(1)-嵌入性  

l_(1)-Embeddability of Mono-4-gons Cyclohexane Molecular Graphs

作　　者：熊志坤 王广富 Xiong Zhikun;Wang Guangfu(School of Science,East China Jiaotong University,Nanchang 330013,China;The Seventh Senior High School of Dongguan,Dongguan523500,China;School of Mathematics and Information Sciences,Yantai University,Yantai264005,China)

机构地区：[1]华东交通大学理学院,江西南昌330013 [2]东莞市第七高级中学,广东东莞523500 [3]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《华东交通大学学报》2023年第6期115-120,共6页Journal of East China Jiaotong University

基　　金：国家自然科学基金项目(11861032,11961026);江西省自然科学基金项目(20202BABL201010)。

摘　　要：图的度量空间与l_(1)-空间的某个子空间同构的图称为l_(1)-嵌入的。单一4-边形环己烷类分子图是指嵌入到平面上恰有1个四边形面,其他都是六边形面,且内点度为3,边界点度为2或3的2连通平面图。证明了当4-边形上只有2个相邻3度点时,单一4-边形环己烷类图是l_(1)-嵌入的,其他的都不是。A graph whose graphic metric space is isomorphic to some subspace of an l_(1)-space is called l_(1)-embeddable.A mono-4-gons cyclohexane molecular graph refers to a 2-connected planar graph embedded in a plane with exactly one quadrilateral face,the rest are hexagonal faces,and the inner vertices degree are 3 and the boundary vertices degree are 2 or 3.It is proved that when there are only two adjacent 3-degree vertices on the quadrilateral,the mono-4-gons cyclohexane graph is l_(1)-embeddable,and the others are not.

关 键 词：环己烷类图 l_(1)-嵌入 l_(1)-图 

分 类 号：O157.5[理学—数学]