连通度

At first,This thesis determines the full automorphism group s of connected Cayley graphs of valency 4 of .

首先，本文决定了3p(p＞3为素数)阶亚循环群的连通4度Cayleyr图的全自同构群结构，并由此得到这类图的CI性，正规性和弧传递性。

And the formulae for estimatingthe edge-toughness of Cartesian product and Kronecker product of some special graphs are presented.

证明了一类r-正则r=κ′连通非完全图G的边坚韧度近似等于r/21+(1/│V│-1并且提供了估计一些特殊图类的笛卡儿积和Kronecker积的边坚韧度的公式。

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。

Some upper and lower bounds of wide diameter of the circulant graphs of degree 4 are also obtained.

根据循环图的传递性和对称性，得到了n阶4度连通循环图的宽直径的上下限。

The finite nonabelian simple group PSL(2,23) has the minimum degree 506 GR of connected cubic arc-transitive coset graphs.

有限非交换单群PSL(2，17)的最小级连通3度弧传递陪集图表示的级是102。

The restricted edge connectivity is an important measure of fault-tolerance for interconnection networks.

一个图是超级限制边连通的，如果它的任一最小限制边割都孤立一条有最小边度的边。

UCWEB CEO Yu Yongfu expresses, advertisement alliance can connect each small Gu island rise, form a big platform finally, but the unified media platform that conformity rises should be cast off " assemble chicken feather, collect duster " short board, with respect to the exercise to benefit the internal organs that must enhance allied member, what Baidu output experience and resource offer is ability of this kind of hematopoiesis, these act will promote Baidu allied platform value greatly.

UCWEBCEO俞永福表示，广告联盟能把一个个小的孤岛连通起来，最终形成一个大平台，但整合起来的统一媒体平台要摆脱"攒鸡毛，凑掸子"的短板，就必须增强联盟成员的内功，百度输出经验与资源提供的正是这种造血能力，这些举措将大大提升百度联盟的平台价值。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究，将地下厂房区划分为五个岩体结构统计均质区，应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征，并以此为基础对岩体宏观力学特性进行了深入研究：(1)首次通过在结构面网络模拟计算结果的基础上，应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比，结果表明以结构面网络模拟结果为基础，应用模糊信息优化技术进行岩体质量评价能够取得很好的效果，解决了工程岩体质量的定量评价问题；(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究，建立了结构面分布的分形维数和岩体变形指标间的相关关系，并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算，解决了工程岩体宏观变形参数的评价问题；(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法，得出了岩体在不同方向上的强度参数，结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系，各个岩体结构均质区具有不同的强度参数；同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明，按连通率加权平均计算法在考虑合理的折减系数情况下，可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计，通过以上研究解决了工程岩体抗剪强度参数的评价问题；(4)通过结构面网络分形维数的研究，应用分形损伤耦合分析方法，研究了厂房区岩体的损伤特征，并首次引入"损伤度"的概念，建立了应用最大主损伤评价岩体质量的指标体系。

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。

The seismic disasters features and behavior mechanisms of the buriedwater supply pipeline are analyzed by synthesis and the breakage of thepipe joints caused by seismic wave propagation as main disasters mode isled into. The soil-pipe interaction, and the soil-pipe slippage arediscussed. Statistical experience method resulted from earthquakeinvestigations and theoretical methods based on reliability theory areintroduced. The reliability of buried pipeline is researched. The methodfor estimate connective reliability of network by means of Monte Carlesimulation technique and Breadth First Search method is introduced. Theconnective reliability of water supply pipe network is researched.

本文综合分析了地下供水管道的地震破坏特征和反应机理，引入了以接头破坏作为主要的破坏模式，并探讨了管土间的相互作用和滑移作用等问题；介绍了根据震害调查数据回归的统计经验法和基于可靠性理论的理论分析法，对地下管道的可靠性进行了研究；介绍了利用蒙特卡罗法和网络图论中的广度优先搜索法判定网络连通可靠度的方法，对供水管网的连通可靠性进行了研究；考虑到震害预测方法中的许多参数是随时间变化的，应用灰色理论和概率论，建立了基于GIS 的供水管网动态震害预测模型。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。