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The dissertation details the functions and characteristic of curves graph element, polygon graph element, character graph element, dimension graph element, parameter graph element, self-define graph element, and research comprehensively the methods describe and graph element attrib. After discussing the basic graph element collection, this thesis gives the description method, organization way, graph element visitation, save and load efficiency, suitability and so on of every element in the basic graph element collection in greater detail. The author provides a graph element data structure organized version which is length changeable and is a block storage record, and designs a new module of data, which can process both the geometry attrib and no geometry attrib of drawing element. Based on this, the data model of all kind of element is put forward.

对采矿CAD系统中基本图元集的构造原则和组织方法进行了研究,提出了一个7元素采矿CAD基本图元集构造方案;论文详细讨论了曲线图元、字符图元、尺寸标注图元、多边形图元、参数图元、自定义图元在采矿CAD系统中的作用和特点,并对各种图元的表述方法和图元属性及相应的库组织方式、存取效率进行了深入的研究,提出了一个&可变长记录块&图元库结构组织方案;通过对采矿CAD系统中基本图元数据模型的构造方法、存取结构和访问方式的研究,给出了一个用C++语言描述的采矿CAD系统基本图元数据模型及其数据存取结构。

In this paper, firstly, not only the incidence matrix ,adjacent matrix, cycle matrix, cut-set matrix of an undirected graph are summarized, but also the close contact between a graph and its corresponding matrix are discussed ; secondly, many problems of a graph which are solved by analysing its matrix are listed as follows:1、The co-tree set of a graph is obtained by using its cycle-matrix ; 2、The branches of its spanning tree are given by using its cut-set matrix ; 3、By making use of the incidence matrix of a graph ,not only its vertex cut 、cut vertex 、isolated point and spanning tree can be obtained ,but also the two sides which are whether parallel or not can be judged ;4、By using their adjacent matrix ,the two graphes which are whether isomorphous or not can be judged; once more, there is a detailed introduction in view of special graph (for example: bigaritite graph ,regular graph and so on);last but not least, a graph method of calculating the N power of a matrix is given and the practical applications of the theorem for degree is indicated.

本文首先综述了无向图的关联矩阵,邻接矩阵,圈矩阵,割集矩阵以及图和它对应矩阵之间的关系;其次总结出了利用上述各类矩阵可以解决的图的若干问题:1、利用图的圈矩阵可以求其连枝集;2、利用图的割集矩阵可以求其生成树的树枝;3、利用图的关联矩阵不仅可以求其割点、点割集、连通度、孤立点和生成树,而且可以判断两条边是否平行;4、利用图的邻接矩阵可以判断两个图是否同构;再次,针对特殊图(例如:二分图、正则图等等)的邻接矩阵作了详细介绍;最后,得到了利用图计算矩阵的N次幂的方法,指出度数定理的实际应用。

The excessive use of paper and Board have quantitative and qualitative filter paper filter paper, filter paper, non-concenrated heatsealing-tea, chromatography concenrated, concenrated, industrial oil filter paper velcanized, J-140 oil filter paper, WJ-140 oil filter paper, J-85 oil filter paper, concenrated, diesel 5um fine C-170 diesel concenrated, diesel, filter-concenrated velcanized WC-150-paper, HM-180 aviation fuel filter paper, concenrated, concenrated, J-180 cotton gum gum concenrated M-150 cotton, non-leaching 530 concenrated, heatsealing concenrated, tea-K-120 air concenrated, concenrated, K-280 air K-80 air concenrated, 1# concenrated, concenrated, no. 2, no. 1, no. 2, micro-micro-concenrated, concenrated, 3# concenrated, 01Service, micro-luftfilter paper, 02 luftfilter paper, no. 03 luftfilter paper, 04, 05 luftfilter paper, luftfilter paper, S-06, luftfilter paper, desert air concenrated concenrated, MH-530, concenrated, C-180 1.5th-reliable gold cotton concenrated diesel concenrated, NC-220, concenrated, beer wrinkles 220 filter paper, in addition to the gingivalis concenrated, glass fiber filter paper, milk filter paper, jungsoo paper, mtastasis filter paper, precision grinder concenrated concenrated, hydraulic oil, activated carbon filter paper, activated carbon for radioactive gas concenrated CA、doped etrieve concenrated WG-59, corrugated paper, oil and gas separation and filtration of filter paper, slot filter paper, smoke meters with a filter paper, lead filter paper, high-temperature air filter paper, ion-exchange resin concenrated, concenrated, cationresin fiber is not removing bacteria-pingment shimian filter plate, pingment removing bacteria-net filter plate, pingment removing bacteria-net filter plate, concenrated SI wrinkles, high efficiency filter Corrugating medium, 69-gas mask filter paper, 69-clean air concenrated, 49-clean air concenrated, 0.1um concenrated, the rituals associated with high efficiency air wrapping paper, three concenrated.

过虑用纸和纸板有定量滤纸、定性滤纸、滤芯纸板、非热封型茶叶滤纸、色层分析滤纸、工业滤纸、机油滤纸原纸、J-140机油滤纸、WJ-140机油滤纸、J-85机油滤纸、5um细柴油滤纸、C-170柴油滤纸、柴油滤纸原纸、滤油纸、WC-150燃油滤纸、HM-180航空滤纸、J-180棉胶滤纸、M-150棉胶滤纸、未浸530滤纸、热封型茶叶滤纸、K-120空气滤纸、K-280空气滤纸、K-80空气滤纸、1号滤纸、 2号滤纸、1号微滤纸、2号微滤纸、3号微滤纸、01号空气过滤纸、02号空气过滤纸、03号空气过滤纸、04号空气过滤纸、05号空气过滤纸、S-06 号空气过滤纸、沙漠空气滤纸、MH-530滤纸、1.5棉机滤纸、C-180金子棉柴油滤纸、NC-220滤纸、皱纹220滤纸、啤酒过滤纸、除菌滤纸、玻璃纤维过滤纸、牛奶过滤纸、净水纸、癌细胞过滤纸、精密磨床用滤纸、液压油滤纸、活性炭滤纸、放射性气体测定专用活性炭滤纸、含合成纤维滤纸、无波纹板 WG-59过滤纸、油气分离过滤纸、缝隙过滤纸、烟度计用滤纸、铅烟过滤纸、耐高温空气过滤纸、离子交换树脂填充滤纸、阳离子交换纤维滤纸、未涂膜除菌型石棉滤板、涂膜除菌型液净滤板、未涂膜除菌型液净滤板、SI皱纹滤纸、高效滤清器瓦楞原纸、69型防毒面具过滤纸、69型净化空气滤纸、49型净化空气滤纸、0.1um高效空气滤纸、泡茶包装纸、三滤纸。

In the special case when G = AutX, we call a G—vertex-transtive graph, G—edge-transtive graph, G—semisymmetric graph X is vertex-transtive edge-transtive semisymmetric graph respectively In this paper we investigate the autmorphism graph AutX of the cubic semisymmetric graph of order 12p ,when p is primes.

特别地,若G=AutX这时的G-点传递图、G-边传递图、G-半对称图称为点传递图边传递图半对称图。

Our company specializes in production and management: Domestic imports Diphosgene kraft paper, kraft paper Lamination,¤kraft paper, paper printing paper, packaging paper, refined kraft wrapping paper, cardboard cow, single-ray paper, writing paper, insulation paper, single, double face copy paper, single-, double-sided copper plate paper, paper×whiteboard, whiteboard white paper, newsprint, domestic / import two-sided offset paper, tissue paper and BOPP films, all types of Asian film industry and special packaging paper paper, office paper and paper products, varieties of a total of more than 1800 kinds, involving industry has glass, toys, plants, garment factories, shoe factories, printing, paper packaging plant, Adhesive Products Factory,§, food Factory, optical instrument factory, leather factory, line Manufacturer, PCB Circuit Manufacturer, Lamination Plant, a large electronics factory, electroplating plants and so on.

本公司专业生产和经营:国产进口双光牛皮纸、压合牛皮纸、淋膜牛皮纸、票据打印纸,包装牛皮纸,精制牛皮包装纸、牛卡纸、单光纸、书写纸、绝缘纸、单、双面拷贝纸、单、双面铜板纸、灰底白板纸、白底白板纸、新闻纸、国产/进口双胶纸、棉纸、及BOPP光膜,亚膜等各类工业用纸及特殊包装用纸,办公用纸和食品用纸,品种共1800多种,涉及行业有玻璃厂、玩具厂、制衣厂、鞋厂、印刷厂、纸品包装厂、胶粘制品厂、铝材厂、食品厂,光学仪器厂、皮具厂、线路板厂、PCB电路板厂、覆铜板厂、大型电子厂、电镀厂等。

Shenzhen crown passes the boxboard plant is the specialized production: The corrugated paper box, K=K, A=A, B=B, K3K, A3A, B3B, the paper box, the wooden crate, the wooden box, the honeycomb box, the honeycomb paper box, the paper protect the angle, the paper contour plate, the waterproof paper box, soaks the sacrificial paper box, spreads the sacrificial paper box, the closet, unfolds the frame, unfolds the cabinet, an exhibition box, unfolds the box, the bookshelf, the paper bookshelf, the corrugated paper closet, an exhibition cabinet, pulls out the chest of drawers, the drawer box, K three K, A three A, B three B, three paper boxes, five paper boxes, seven paper boxes, the white box, the white box, the single pit paper carton, the world copes, turnover box, outside wrapping paper box, paper carton, paper bag, handbag, handbag, the color box, the color box, the picture album, the instruction booklet, the color page, the beer box, the pit box, the card box, the card box, the MP3 color box, the hand engine box, the hand play the part of paper class packing and so on box, liquor box, tea box.

深圳市冠通纸箱厂是专业生产:瓦楞纸箱、K=K纸箱、A=A纸箱、B=B纸箱、K3K纸箱,A3A纸箱,B3B纸箱,木箱、木盒、蜂窝纸箱、纸护角、纸卡板、防水纸箱,浸蜡纸箱,涂蜡纸箱,衣柜,展架,展柜,展架盒,展盒,书架,纸书架,瓦楞纸衣柜,展架柜,抽屉柜,抽屉盒,K三K纸箱,A三A纸箱,B三B纸箱,三层纸箱、五层纸箱、七层纸箱、白盒纸箱,白纸箱,单坑纸盒,天地盖箱,周转箱,外包装纸箱,纸盒、纸袋、手提袋,手袋,彩盒、彩箱,画册、线圈本、充皮笔记本、彩页、啤盒、坑盒、卡盒、咭盒、MP3彩盒、手机盒、手饰盒、酒盒、茶叶盒等纸类包装。

Main production: paper napkin machine, toilet paper machine, paper processing machinery, toilet paper rewinder machine, toilet paper equipment, paper processing equipment, rewinding machine, automatic toilet paper rewinder, tissue, paper napkin, toilet paper, wet tissue, tissue box pumping , color paper napkin machine towel machine, paper machinery, paper-making equipment, paper towel, mini tissue machine, tissue paper machine, paper cutter, paper machinery, paper plate machine, band saw cutter, tissue box pumping machine, tissue machine, non-woven fabric, color paper napkin

主要生产:餐巾纸机,卫生纸机,纸加工机械,卫生纸复卷机,卫生纸设备,纸加工设备,复卷机,全自动卫生纸复卷机,生活用纸,餐巾纸,卫生纸,湿巾,盒抽面巾纸,彩色餐巾纸机,方巾纸机,造纸机械,造纸设备,方巾纸机,迷你纸巾机,纸巾机,切纸机,造纸机械,盘纸分切机,带锯切纸机,盒抽面巾纸机,面巾纸机,无纺布,彩色餐巾纸

Deep water paper, thermal fax paper, Sham Tseng polyester cardboard, Sham Tseng pressure records paper, electroenciphalogram paper, low voltage electric susceptibility, oscilloscopic using paper, elctroacoustic paper, force are paper, meteorological record sheets and regulator inked ribbons for paper, thermal paper, ECG velcanized, bolgarii fax paper, spark a transcript of the shadow fax paper, pH test strip velcanized, hydrogen sulfide, carbon paper analysis paper, multi-powder-electrogenerated paper, sound paper, instrument records velcanized, potassium chloride punch holes in the paper, paper, electrostatic aunt of paper.

深井抗水记录纸、热感传真纸、深井涤纶卡纸、深井压力记录纸、脑电图纸、低电压电敏纸、示波用记录纸、电声纸、力感记录纸、气象记录纸、校表仪墨带纸、热敏记录纸、心电图原纸、火花传真纸、火花誊影传真纸、pH试纸原纸、硫化氢分析纸、碳素纸、湿式电化学记录纸、声芯纸、仪表记录原纸、氯化钾记录纸、打孔记录纸、静电姨妈纸。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果: 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界;利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界,并刻画了达到该上界的极图;利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界,并给出了单圈图次大Laplace特征值一个理论上的一个求法;利用单圈图的阶数给出了其一般Laplace特征值的一个上界;利用单圈图的匹配数给出其Laplace矩阵谱在区间[0,n]上的分布情况。

Graph theory s 02 graph theory widely used for its own development. 40-60 20th century era matroid theory and graph theory-very graph theory, algebra and graph theory. topology theory has great development.

详细说明:图论讲义02 图论的广泛应用,促进了它自身的发展。20世纪40-60年代,拟阵理论、超图理论、极图理论,以及代数图论、拓扑图论等都有很大的发展。

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