华东交通大学学报2023,Vol.40Issue(6):115-120,6.
单一4-边形环己烷类分子图的l1-嵌入性
l1-Embeddability of Mono-4-gons Cyclohexane Molecular Graphs
摘要
Abstract
A graph whose graphic metric space is isomorphic to some subspace of an l1-space is called l1-em-beddable.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 l1-embeddable,and the others are not.关键词
环己烷类图/l1-嵌入/l1-图Key words
the cyclohexane graph/l1-embeddability/l1-graph分类
数理科学引用本文复制引用
熊志坤,王广富..单一4-边形环己烷类分子图的l1-嵌入性[J].华东交通大学学报,2023,40(6):115-120,6.基金项目
国家自然科学基金项目(11861032,11961026) (11861032,11961026)
江西省自然科学基金项目(20202BABL201010) (20202BABL201010)