给定悬挂点数的双圈图中具有最小Hosoya指数的图

Let G be a graph. The Hosoya index Z（G） of a graph G is defined to be the total number of its matchings. In this paper, we characterize the graph with the smallest Hosoya index of bicyclic graphs with given pendent vertices. Finally, we present a new proof about the smallest Hosoya index of bicyclic graphs.     

优化公交车调度的多目标遗传算法模型

公交车是为市民出行提供服务的“准公共”产品,它反映了一个城市的管理水平。研究如何合理规划公交车的调度是一个至关重要的问题。针对由于公交客流量易受天气影响、不同时间段客流量及其变化程度相差较大等问题,本文提出了基于“平高峰”因素的多目标遗传算法对城市公交调度进行优化。模型由三个阶段构成,首先本文根据客流数据对公交的“平高峰”阶段进行定义,并验证其合理性;然后利用乘客在站等待时间与公交的各方面成本建立以乘客出行成本和公共交通的运行成本最小的公交调度优化模型。最后将“平高峰”融入至染色体基因序列中,利用多目标遗传算法不断迭代计算出最优公交调度方案。对比结果表明,基于“平高峰”优化后的模型较于传统算法的乘客出行成本降低了13.75%且公共交通的运行成本减少1.7%,均优于传统算法。证明该方法对优化公交调度的有效性。     

广义Carmichael数

设n是一个合数,Z_n表示模n的剩余类环,r(x)∈Z_n[x]是一个首一的k(>0)次不可约多项式。本文引入n是k阶摸r(x)的Carmichael数的定义,全体这样的数记为集C_(k,r)(x),由此给出k阶Carmichael数集:C_k={∪C_(k,r)(x)|r(x)过全体Z_n上的首一k次不可约多项式}。显然C_1表示通常的Carmichael数集。作者得到了n∈C_(k,r(x))的一个充要条件,进而得到n∈C_k的一个充要条件及n∈C_2的一个更易计算的充要条件,还证明了C_1(?)C_2以及|C_2|=∞。     

多核季胺盐类功能分子筛模板剂的合成

以1,6-己二醇,二正丙胺和三正丙胺为原料,合成了长链双核季铵盐和三核季铵盐功能MFI型分子筛模板剂,其结构经13C NMR和IR表征.     

An efficient three‐component synthesis of hexahydroquinoline derivatives in ionic liquid

A series of hexahydroquinoline derivatives were synthesized by the three‐component reaction of 5,5‐dimethyl‐3‐aminocyclohex‐2‐enone, aromatic aldehyde, and acyl acetonitrile in ionic liquid without using any catalyst. This protocol has the advantages of easier work‐up, milder reaction conditions, high yields, and environmentally benign procedure. J. Heterocyclic Chem., (2011).     

Study on Reaction of α‐Benzoylhemithioacetal with Alkylamines

α‐Benzoylhemithioacetal (1) reacted with alkylamines under mild conditions to give 2‐alkylamino‐2‐thiomethyl acetophenones (3) in good yields.     

Dioxygen oxidation of hydrocarbons by a methane monooxygenase-like system: diiron complex-O_2-Zn/HOAc-MV~(2 )

The activation of dioxygen and incorporation into hydrocarbons have been achieved under mild conditions by a methane monooxygenase (MMO)-like system using a dinuclear iron complex [Fe_2Dhist(OAc)_2]BPh_4·3H_2O as the model complex, zinc powder as the electron donor, HOAc as the proton source and methylviologen as the electron transfer agent. The results show that styrene is oxygenated predominantly to styrene oxide (1 396 mol/100 mol of the Fe_2 complex), benzaldehyde (16160) and acetophenone (986), and cyclohexane to cyclohexanol (9370) and cyclohexanone (2670). EPR studies indicate that the hypervalent ironoxo spiecs Fe~ⅣFe~Ⅳ(?)O, derived from Fe~ⅢFe~Ⅲ core via reduction, O_2-binding and protonation, is the active intermediate which inserts the activated oxygen atom into C(?)C or C—H bond giving each product. The system closely resembles MMO and its close relative hemerythrin in the aspects of reaction phenomena, EPR characteristics and product distributions. The Mn_2 analog cmplex、Fe-Zn hetero     

模拟高压静电对Q67发光影响的实验系统

用发光二级管和光学衰减片模拟Q67的发光光谱.实验中发现高压静电较低时发光微生物发光强度高于无静电作用时,但随高压静电的增加,发光强度逐渐减弱.实验结果表明该系统可以模拟高压静电对Q67发光的影响,使实验可在室外环境中进行,方便水环境的监测.     

Synthesis of Calix[4]pyrroles: A Class of New Molecular Receptor

RecentlySesslerandco-workersdiscoveredthatthemeso-octaalkylporphyrinogensshowedinterestinganionandneutralsubstratebindingpropertiesandmightserveasaclassofneweasy-to-makemolecularreceptorintheareaofsupramolecularchemistry'.However,themeso-octaalkylpor...