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This direction of research associates the graph in graph theory with the matrix in algebra by the matrix representation of a graph, then studies the algebraic property of graphs with the methods in graph theory and algebra.

该研究方向是通过图的矩阵表示将图论中的图与代数中的矩阵联系起来，再利用图论和代数方面的一些方法来研究图的代数性质。

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。

Methods Based on the structure of gene frequency matrix,we combine the method of principle components analysis with the minimal spanning tree of graph theory,to set up the model of graph theory principle components analysis.

结果图论主成分分析的基本步骤可概括为：①对中心化基因频率的协方差矩阵进行主成分分析；②按图论原理求过m维空间n个点的最小生成树；③利用求"颈"法分割最小生成树；④将最小生成树整合到二维主成分散点图中构建图论主成分分类图。

We will show several previous results of the span of simple graphs and multigraphs, and we also will present a new algorithm to compute spT of multigraphs, furthermore we will discuss the bound of the span of a special multigraph and the algorithm of spT.

本文将给出一些关于简单图和重图的已知结论，同时还将给出一种计算重图的sp_T的新算法，并将讨论取特殊T集时重图的T-匝算法以及完全图K_n的T-匝算法。

In this paper well verify that it is true for tree(a special type of bipartite graph)vertex-multiplications, and it is a extention to one of the results in paper.In the second chapter, from the point of view of non-decreasing degree sequence we give a degree-maximal non-Hamilton simple balanced bipartite graph bm,n. We give a result below.

第二章中从图的不减度序列角度给出了一类度极大的非哈密尔顿简单平衡二部图，并且证明了：任何非哈密尔顿的简单平衡二部图，它的不减度序列一定弱于此类图中的某个图b_的度序列。

To prove one edge union of k-shell graph is cordial, firstly fix the labeling of vertex of common edge(label u with 0 and v with 1), then according to the value of the graph order n module 4 to class the k shell gaphs to four cases, and to divide to small cases in every shell graph.

本文研究k-贝壳图的亲切标号时，在固定了公共边上的点的标号(对u标号0且v标号为1)之后，我们采用如下方法：首先，以每个贝壳图的顶点数对4取模的余数来分类，这样就得到了四种(来源：d1ABC论文网www.abclunwen.com)不同情况的贝壳图；然后在每个贝壳图中再分情形进行标号；最后，通过证明得到这种标号方法是满足亲切标号的定义的，从而证明了k-贝壳图的亲切性，成功的解决了Sethuramam和Selvaraju猜想，证明了其正确性。

The mechanical mathematics model of system was built, and the computer numerical value simulation was carried out. Taking the rotation speed and damping as the furcation parameters and combining with Poincare sectional view, oscillogram, phase plane plot, locus of axle center, power spectrum graph and self correlative functional diagram, the kinetic status of system was analyzed.

建立了系统力学数学模型，进行计算机数值模拟，以转速和阻尼为分叉参数，结合Poincare截面图、波形图、相平面图、轴心轨迹图、功率谱图和自相关函数图，分析了系统的运动状态。

Through the fusion and interpretation of three-temporal Landsat TM image (1987, 1998 and 2008) and two-temporal spot image (1997,2008), using the overlay analysis function of GIS, we made an analysis of land use change in Northern mining area of Xuzhou in the nearly 20 years.

文中重点是采用RS和GIS技术调查土地利用变化，建议增加解译之后的不同年代土地利用图。（2）表1、图二和表二图三存在表述对象相同的问题，建议删除图二和图三。

The completion problems of partial inverse M-matrix for 3-chordal graph are discussed by using graph theory and the completion theorems for 3-chordal graphs are presented in this paper.

摘要利用图论的相关知识，在1-弦图、2-弦图完备的基础上探讨了3-弦图的完备问题，给出3-弦图的完备定理。

Based on maximum likelihood estimate, the estimate method of sieving rate of connectivity sieve was presented. Three key issues in the estimate were analyzed:calculation of sample size,generation of random sample, and recognition of connectivity of induced subgraph. By preassigned credibility and precision, effective estimate of sieving rate of connectivity sieve is achieved.

目前，产品拆卸过程规划基本上是建立在图的基础上，即首先根据产品拆卸回收或拆卸维修信息，选用一种适合的图模型进行描述，然后在图模型的基础上，以拆卸回收或拆卸维修的经济性、环境协调性和技术性等综合指标最优为目标，进行拆卸过程规划，最终得到产品的最优拆卸序列【1一。1连通性筛子拆卸与或图是拆卸模型中的一种，文献[7]给出了拆卸与或图的定义及建模过程。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。