图

For example, if a graph has exactly one cycle, then all graphs in its isomorphism class also have exactly one cycle.

"这一概念图同构"使我们能够区分图形性能固有的结构图自己从性能与图申述：图图，数据结构的图形，图表标号等例如，如果一个图，正是一个周期，然后在其所有图形类也有同构的一个周期。

The complement graph of its line graph and the line graph of its complement graph.

得到了其补图、线图、线图的补图及补图的线图的特征多项式。

Factors with prescribed properties such as factors including or excluding some given edge, maximum or minimum factors, factor covering and connected factors; 3. Factorizations of graphs; 4. k-extendable graph and its generalizations. Fractional graph theory is a relatively younger research branch.

例如，因子与图的最小度，韧度，联结数：邻域并等参数之间的关系；2·研究图的有限制条件的因子，例如，有约束条件的因子，图的连通因子，图的最大最小因子；3·图的因子分解；4·k-可扩图及其推广等。

Let G be a connected and simple graph with p order, the complement graph G is the union of a complete bipartite graph K n,m and an empty graph K.

设G为p 阶连通简单图，其补图G为完全偶图Kn，m 及空图K的并，笔者利用完全偶图的谱的特性，获得了图G的特征根分

All above laid a foundation for the research of polarimetric information processing and application. Then, target optimum polarization and polarimetric synthesis technique were studied. By constraining polarimetric states of transmitting and receiving antennas, co-polarized and cross-polarized signatures were obtained. Because the received wave was partially polarized, completely polarized, completely unpolarized, and total available power signatures were defined based on the power of the return wave.

接着，论文深入研究了目标最佳极化和极化合成技术，通过约束收发天线的极化状态可以得到共极化特征图和交叉极化特征图，由于雷达接收的电磁波通常是部分极化的，根据接收波的平均功率密度可以得到未极化特征图、完全极化特征图和匹配极化特征图，在极化特征图空间中搜索可以很容易地获得目标的最佳极化，这些目标最佳极化可以作为极化目标识别和分类的极化特征。

This implies the existence of a polynomially bounded algorithm to find a shortest contractible cycle, a shortest separating cycle, and shortest cycle in an embedded graph in the projective plane and answers the open problems raised by Mohar and Thomassen in the case of projective plane embedded graph.

另一方面，通过定义嵌入图的几何对偶图及其相应的嵌入系统，得到几何对偶图中的可分离圈就对应于原图中的割；反之，若几何对偶图中的割在原图中对应于一个圈，那么该圈一定可分离。

Solubilities and physico-chemical properties in the solution of these systems were determined. According to the experimental data, equilibria phase diagrams and physico-chemical property -composition diagrams of ternary systems were plotted; Equilibrium phase diagrams and corresponding water content diagrams of quaternary systems were finished; Stable and metastable phase diagrams, corresponding water content diagrams of the quinary systems at 288K (saturated with Li2CO3) were also plotted.

测定了上述各体系288K平衡液相中各组份的溶解度及主要物化性质；绘制了三元子体系的相图，物化性质—组成图；绘制了四元子体系的干盐图及相应的水图；完成了该五元体系稳定及介稳平衡体系为Li_2CO_3饱和的投影相图，水含量图。

In order to investigate the relationship of solubility between vanadium and the other co-existing ion in soil. The phase equilibria of the quinary systemNaVO_3 + KVO_3 + NaH_2PO_4 + KH_2PO_4 +(NH_2)_2CO + H_2O and its five quaternary sub-systems were studied at 298K with isothermal dissoluble method. According to the reference, all these systems are not reported yet. The solubilities and the physico-chemical properties such as density, conductivity, pH value and refractive index of the equilibrium solutions were determined. Based on the determined values, the solubility stereo-diagram and projected-diagram( saturated with KVO3), projected-diagramsaturated with (NH_2_2CO, and water content diagram of the quinary system, isothermal solubility diagrams of the quaternary sub-systems, and the physico-chemical properties-composition diagrams of the equilibrium solutions were plotted.

为探明土壤中钒的溶解性同土壤中主要共存离子间的关系，本论文采用等温溶解平衡法研究了文献中还未见报道的五元体系NaVO_3+KVO_3+NaH_2PO_4+KH_2PO_4+(NH_2)_2CO+H_2O及其五个四元子体系298K相平衡关系，测定了这些体系298K时各组分的溶解度及平衡液相的密度、电导率、pH值和折光率等物化性质，并绘制了五元体系溶解度空间立体图，以KVO_3为饱和的投影图，以(NH_2)_2CO为饱和的投影图、水图及四元子体系的溶解度等温图、水图和平衡液相物化性质一组成图。

Experiments show that rhomb partitioning is more powerful in suppressing block artifacts than square partitioning, results in much higher reconstructed image quality, but takes longer encoding time; 2 For solving exhausting encoding problem of fractal image coding, we present a fast rhomb-partitioning fractal image coding based on neighbor-searching; we present a fast rhomb-partitioning fractal image coding based on block classification; we present a fast square-partitioning fractal image coding based on neighbor-searching, block classification and wavelet transform.

2针对分形图象压缩编码过程非常耗时的致命弱点，提出了基于邻域搜索的菱形块分割的快速分形图象压缩编码方法，提出了基于块分类的菱形块分割的快速分形图象压缩编码方法，提出了基于邻域搜索·块分类和小波变换的方块分割的快速分形图象压缩编码方法，实验结果表明，我们提出的快速分形图象压缩编码与传统的分形图象压缩编码相比，编码速度提高了近40倍。

In the last chapter,we constructa bipartite graph by all 1-dimensional subspaces and all maximal totally isotropicsubspaces of symplectic space,and obtain that this graph is a distance-semiregulargraph,its bipartite half is the complement of symplectic graph.

最后，我们利用辛空间中的所有一维向量子空间及极大全迷向子空间构作了一类二部图，证明了此图是一个距离半正则图，其二部半图是辛图的补图。

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％。