Notes on hamiltonian property of dual graphs of 3 - regular plane graphs 三正则平面图的对偶图的哈密顿性的注记
Equipment for fire protection and fire fighting . graphical symbols for fire protection plans . specification 消防设备.防火平面图的图形符号.规范
5 maintains up - to - date records of required materials , equipment inventory , spares , and floor plans 维护所需材料、设备、零部件的库存及各平面图的最新记录。
So the thesis mainly expound on following three parts : image design , database organization , visual and intelligence form of yard plane layout 因此，本论文也主要从图形图象处理、数据库的组织及站场平面图的可视化与智能化生成这三个方面加以阐述。
In this paper , four types of graph coloring are discussed : dynamic coloring , incidence coloring , entire coloring and edge - face coloring of planar graphs 本文讨论了若干图类的四种不同的着色问题：动态着色、关联着色、平面图的完备着色和边面着色。
Abstract : based on the study of the structure of maximum plane graph , with normal mathematic reasoning , this thesis studied the color number problem of maximum plane graph 文摘:以极大平面图的结构研究为基础，采用常规的数学推理方法研究极大平面图的点色数问题。
As regarded above factors , the main characteristic of the system is . depending on the tool of vc + + and the self - developed platform of image processing , to carry on intelligence research during the designation of the layout 本开发系统的主要特点是：以vc + +为工具，在自开发的图像处理平台之上，对车站站场平面图的生成进行智能化研究和设计。
In section four , by researching the properties of kneser graphs , we construct the homomorphism between the kneser graph and the outerplane graph . so the fr actional chromatic number and chromatic number are obtained 在第四部分中通过对kneser图的一些性质的考察，在kneser图与外平面图之间建立同态关系，从而得到了外平面图的分数色数与顶点色数。
Moreover , by using the idea of graph theory , this paper constructs the electronic equipment structure graph and its “ dual graph ” , and electromagnetic topological model used to analyze the interaction of the different electrical components is presented 进一步借鉴图论的思想,构造出电子设备结构图及其平面图的“对偶图” ,并由此建立了多层电磁屏蔽条件下分析系统电子器件之间相互耦合的电磁拓扑模型。
Some core problems caused many people ' s interests , but they have not been resolved . such as the four color - theory of planar . in this paper , we will obtain a conclusion : graphs g ( k > 2d , gcd ( k , d ) = 1 ) other than odd circle are nonplanar and then based on it , we easily obtain two corollaries about circular clique number ( clique number ) and circular chromatic number ( chromatic number ) of planar : for any planar , it ' s circular clique number is 2 4 - or integers not more than 4 ; if a planar is circular perfect or ( perfect ) , then it satisfy four color - theory 图论中，着色问题及色数问题是十分活跃的研究课题，一些焦点问题引起了不少人们的兴趣，却有待解决，例如平面图的四色猜想，始终是悬而未决，在这篇文章中，我们将得出一个结论： g _ d ~ k ( k 2d ， gcd ( k ， d ) = 1 )图除了奇圈以外，都是非平面的，并在此基础上得出有关平面图圈团数(团数) 、圈色数(色数)的两个推论：任意平面图的圈团数只能是2 + 1 / n或者不大于4的整数，如果平面图圈优美(或者优美) ，那么，它满足四色定理。
