IS γα≤δ FOR GRAPHS WHICH HAVE DIAMETER TWO?

A subset of S of the vertex set of a graph G is called acyclic if the subgraph it induces in G contains no cycles. S is called an acyclic dominating set of G if it. is both acyclic and dominating. The minimum cardinality of an acyclic dominating set, denoted by 7a(G), is called the acyclic domination number of G. S. M. Hedetniemi et al. on 2000 introduced the concept of acyclic domination and posed the following open problem: Is -ya(G) < <5(G) for any graph whose diameter is two? In this paper, we give a counterexample which disproves the problem.     

Abnormal dielectric characteristics of PMN-32%PT single crystal under dc bias

It has been reported that the single crystal of relaxor ferroelectrics (1-x)Pb(Mg1/3Nb2/3)O3-xPbTiO3 (PMN-xPT) with the compositions near the morphotropic phase boundary (MPB, 0.28相似文献   

Modal extension rule

Modal logics are good candidates for a formal theory of agents. The efficiency of reasoning method in modal logics is very important, because it determines whether or not the reasoning method can be widely used in systems based on agent. In this paper, we modify the extension rule theorem proving method we presented before, and then apply it to P-logic that is translated from modal logic by functional transformation. At last, we give the proof of its soundness and completeness.     

Stability of discrete Hopfield neural networks with delay

1.INTRODUCTION DiscreteHopfieldneuralnetwork(DHNN)isoneof thefamousneuralnetworkswithawiderangeofap plications,suchascontentaddressablememory,pat ternrecognition,andcombinatorialoptimiza tion[1～5].ThestabilityofDHNNmeansthatevery trajectorymustconvergetowardsanequilibrium point,oralimitcycle.Becausethestabilityof DHNNisthefoundationofthenetwork’sapplica tionsandisthemostbasicandimportantproblem,thestabilityanalysisoftheDHNNhasattractedcon siderableinterest.Manyresearchershavefocu…     

修饰玻碳电极对多巴胺和尿酸的电化学检测（英文）

在单壁碳纳米管(SWCNT)表面修饰[Cu(sal-β-Ala)(3,5-DMP_2)]玻碳电极(GCE),该修饰电极不仅对多巴胺(DA)和尿酸(UA)具有很好的电化学催化效果,而且对它们有很强的检测能力.[Cu(sal-β-Ala)(3,5-DMP_2)]修饰电极对DA的检测线性范围为10~210 mmol/L,检测极限为7.29μmol/L;而对UA的检测线性范围为从1~86mmol/L,检测极限为1.5μmol/L.同时,利用微分脉冲伏安法(DPV)来测定DA和UA,相比之下,[Cu(sal-β-Ala)(3,5-DMP_2)]与单壁碳纳米管及修饰玻碳电极结合具有良好的灵敏度和分辨率.     

映射法与Klein-Gordon方程新的精确解

运用映射法,结合辅助方程,利用计算机代数系统Mathematica求出了非线性Klein-Gordon方程的一系列新的精确周期解,补充了前面研究的结果.这些精确解可在极限情况下(m→1)退化为孤波解.该方法简化了求解过程,并可以用来求解其他的非线性演化方程,如Schrǒdinger方程、KP方程等.     

一类非线性演化方程新的多级准确解

利用摄动法对NLS方程和Zakharov方程作展开.应用Jacobi椭圆函数展开法求得了零级近似方程的准确解,并在Lamé方程和Lamé函数的基础上分别求得一级近似方程和二级近似方程的准确解.这样,就求得此类非线性演化方程的多级准确解.     

Evaluating the reliability of microsatellite genotyping from low-quality DNA templates with a polynomial distribution model

Molecular studies using trace DNA, such as from museum specimens, ancient or forensic samples and samples obtained noninvasively, often have a common problem of low quality of DNA templates. Amplification errors, such as allelic dropout and false allele, may arise during polymerase chain reaction (PCR) using such samples. A mathematical model which treats homozygotes and heterozygotes discriminately has been developed to measure sample quality and compute the confidence level of using multipletube approaches. We use plucked hair samples collected from 26 individual Sichuan snub-nosed monkeys (Rhinopithecus roxel- lana) to test the model. In this case, a confidence level of 99% can be achieved by three positive PCRs. If the sample quality is very poor and requires many PCR replicates, an alternative multiplestep genotyping method is recommended. This model enables researchers to optimize experimental protocols through pilot studies and obtain reliable genetic information using noninvasive sampling method.     

Understanding atomic-scale phase separation of liquid Fe-Cu alloy

Using liquid Fe 60 Cu 40 alloy as a model, the structure of liquid Fe-Cu alloy systems is investigated in the temperature range 1200 2200 K, covering a large metastable undercooled regime, to understand the phase separation of liquid Fe-Cu alloys on the atomic scale. The total pair distribution functions (PDFs) indicate that liquid Fe 60 Cu 40 alloy is ordered in the short range and disordered in the long range. If the atom types are ignored, the total atom number densities and PDFs demonstrate that the atoms are distributed homogenously in the liquid alloy. However, the segregation of Fe and Cu atoms is very obvious with decreasing temperature. The partial PDFs and coordination numbers show that the Cu and Fe atoms are not apt to get together on the atomic scale at low temperatures; this will lead to large fluctuations and phase separation in liquid Fe-Cu alloy.