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.     

第七感觉--时间觉

众所周知，人有５种感觉：视觉、听觉、嗅觉、味觉、触觉。但这并不全面，因为除了上述五觉之外，还有一些感觉存在于我们的身体和意识里，只是我们不知道或不甚熟悉。例如杂技演员在高空走钢丝，这时他身上的第六感觉就会出现，来帮助他维持身体平衡，这就是空间位置觉。在很多时候，还有一种感觉在影响着我们，这就是人的第七感觉———时间觉。什么是时间觉首先举个简单的例子：有一位伞兵，从８１００米高空的飞机上跳出机舱，像一块沉重的石头一样飞速地往地面坠落。两分钟加２２秒的时间，他下降了７９００米，在距地面只有２００米时…     

MARKOV DECISION PROGRAMMING-THE FIRST PASSAGE MODEL WITH DENUMERABLE STATE SPACE

In this paper,we discuss MDP with discrete time parameter-the firstpassage model with denumerable state space.Under assumption A in this paper,we prove that an ε(>0)-optimal stationary policy exists.To find an ε-optimalstationary policy,an algorithm of policy improvement iteration and a method ofsuccessive approximations are given.     

Application of Mathematial-Simulated Model Setup for Eudcational Planning

ＡｐｐｌｉｃａｔｉｏｎｏｆＭａｔｈｅｍａｔｉａｌ－ＳｉｍｕｌａｔｅｄＭｏｄｅｌＳｅｔｕｐｆｏｒＥｕｄｃａｔｉｏｎａｌＰｌａｎｎｉｎｇＦＵＨｏｎｇｙｕａｎ（ＣｈｏｎｇｑｉｎｇＩｎｓｔｉｔｕｔｅｏｆＡｒｃｈｉｔｅｃｔｕｒｅａｎｄＥｎｇｉｎｅｅｒｉｎｇ）Ａ...     

对盐铁会议的重新估价

西汉昭帝始元六年(公元前81年),由政府主持,召开了一个盐铁会议,讨论以盐铁官营为代表的现行政策。参加者分三个层次:一是政府要员,丞相车千秋和御史大夫桑弘羊。车千秋于开会后便行离去,桑弘羊成了这个层次的唯一代表。二是他们的属员丞相史和御史。这两个层次共同构成辩论者一方。三是贤良、文学,为辩论者的另一方。以桑弘羊为主的一方,主张继续施行由武帝时期延续下来的各项政策,而另一方,贤良、文学则主张改变。双方针锋相对,剑拔弩张。桓宽《盐铁论》记下了会议的情况。一些评论者以此为根     

广告谋杀了——中国企业战略批判

日前,在北京大学光华管理学院的一次论坛上,某著名经济学家语出惊人:“凡是广告做得太多的企业没有一个好下场！”并对“脑什么金”的广告卷土重来深恶痛绝。 这名清华教授所说的“中国的企业”显然是指“先人”南德、巨人、三株、505、太阳神、沈阳飞龙、爱多、秦池、厦新、亚细亚等等。他认为,这些企业之所以倒下,是因为策划人干的活太多了,而策划人干的活就是多做广告宣传……     

GENERALIZED SUBCONVEXLIKE FUNCTIONS AND MULTIPLE OBJECTIVE OPTIMIZATION

ＧＥＮＥＲＡＬＩＺＥＤＳＵＢＣＯＮＶＥＸＬＩＫＥＦＵＮＣＴＩＯＮＳＡＮＤＭＵＬＴＩＰＬＥＯＢＪＥＣＴＩＶＥＯＰＴＩＭＩＺＡＴＩＯＮ￥ＹＡＮＧＸｉｎｍｉｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣｈｏｎｇｑｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔ...     

MD Method in Solving Multiple Criteria Decision Problems Arising from Investment Systems

ＭＤＭｅｔｈｏｄｉｎＳｏｌｖｉｎｇＭｕｌｔｉｐｌｅＣｒｉｔｅｒｉａＤｅｃｉｓｉｏｎＰｒｏｂｌｅｍｓＡｒｉｓｉｎｇｆｒｏｍＩｎｖｅｓｔｍｅｎｔＳｙｓｔｅｍｓＤＵＷｅｎｚｈｏｎｇ;ＣＩＪｉａｎｈｕａ（ＥｃｏｎｏｍｉｃＩｎｆｏｒｍａｔｉｏｎＣｅｎｔｅｒｏｆ...     

Efficient expression of human factor Ⅸ cDNA in liver mediated by hydrodynamics-based plasmid administration

The transfection of plasmid DNA into mammalian cells is an indispensable tool in the study of gene transfer and gene function. Since the original report in 1990 on the successful expression of a reporter gene in muscle[1], plasmid DNA injection has been widely used to mediate gene transfer study. As a gene transfer vector, naked DNA has many obvious advantages. It is easy and cheap to be prepared and more safe after transfection. But the plasmid mediated gene expression is low because of t…     

^210Pbex depth distribution in soil and calibration models for assessment of soil erosion rates from ^210Pbex measurements

Throughout the past decade, the potential for using nuclear weapon-produced 137Cs ( half-life 30.2 a) fallout to quantify soil erosion rates on both cultivated and uncul- tivated lands for medium-term timescales (≈ 40 a) has been successfully demonstrated in a wide range of envi- ronments in different regions of the world[1—6]. Because in difficulties of distinguishing Chernobyl-derived compo- nent from total 137Cs input in many parts of Europe, and in measuring low activity samples of…