Let G be a simple graph. The adjacency matrix is denoted by G. The least eigenvalue of A(G), denoted by λmin(G), is called the least eigenvalue of G. In this paper we first establish the relations between the number of edges and the least eigenvalue of the adjacency matrix of the graph, and then give some spectral conditions for a graph having Hamiltonian paths or Hamiltonian cycles, or being Hamilton-connected, or being traceable from every vertex in terms of the least eigenvalue of the adjacency matrix of the graph. This provides an effective method for us to study some properties for a graph.

Aiming at the false correlation problems under set number limit condition in the fuzzy control mathematic modelling process, combined with dynamic particle swarm optimisation training algorithm, th...

新时代高职院校开展创新创业教育,要从项层设计入手,瞄准创新创业教育目标,引入先进教学手段,促进课堂教学改革,搭建双创平台,设立双创学分,并通过提升师资力量,保障创新创业教育实效,结合地方经济发展,推动创新创业教育落地.

The capacity control problem is one of the most important research questions in revenue management. It is concerned with allocation of the finite number of resources/seats to the booking requests that arrive over time before the flight departs. In this paper,it review a classical dynamic programming model for capacity control in the single-leg flight setting ,then it present an equivalent probabilistic mathematical programming reformulation for the capacity control problem,and then it present an equivalent bilevel programming reformulation for the capacity control problem.

Abstract： Capacity control is a classical revenue management problem. Researchers and practitioners have proposed many mathematical models including dynamic programs for solving the capacity control problem. In this paper, we present an equivalent reformulation for the dynamic programming model for the capacity control problem in the single-leg flight setting.

对于一个图的集合Ψ,若图G是Ψ中所有图的最小特征值达到最小的那个图,则称G是集合Ψ中最小特征值的极小图.文章刻画了直径为n-2的n阶连通图最小特征值及其极小图.

The significance of mathematics education lies in not simply as a basic discipline to provide support for others , but nurturing students'mathematical methods and qualities.To achieve the role of higher vocational mathematics education in impro-ving students′comprehensive qualities, it requires that, from the perspective of quality education, we update teaching ideas, opti-mize teaching mode and improve evaluation methods to promote the formation of students′innovative quality, seriousness of attitude and practical working style.

Let Y be a certain set of graphs.A graph G is called a minimizing graph in the set Y if its least eigenvalue attains the minimum among all graph in Y.In this paper,we characterize the minimizing graph among all graphs of order n with diameter 3.

区域创新要求加强高职院校与企业的合作,以促进知识流动、转化和创新。高职院校与企业的合作有利于知识的交流与传播、培养创新型与高技能型人才、促进成果转化和"双师"教师的培养。针对当前校企合作中政府缺位和校企之间利益与目标的差异问题,提出了构建校企实体合作和"政、产、学"三合一的新的校企合作模式。

大学生的就业问题一直受到社会和各级政府的关注,然而要真正促进大学生就业,关键是学校要帮助大学生在校学习期间通过多种方式提高就业能力。安庆职业技术学院作为一所省级示范性建设高职院校,近几年来在此方面做了些探索,从新生入学教育环节开始,通过创新人才培养模式,将学生就业能力的提升全程化、全面化,取得了一定的成效。

高职院校的一线专职辅导员队伍是学校管理的最基层,对学校的稳定和发展起着至关重要的作用,当前高职院校专职辅导员的队伍建设现状却与他们的岗位责任有着一定的匹配差距,要改变这一现象,高职院校必须立足于专职辅导员职业发展的角度,把专职辅导员队伍建设放在与学校教学、科研队伍建设同等重要位置,采取有力措施,统筹规划,统一领导,多途径创造条件提升专职辅导员的业务素质,搭建帮助他们向职业化、专业化乃至专家化方向发展的平台。

In order to encourage the advanced-vocational college students to learn mathematics well,advanced-vocational mathematics teachers should pay greater attention to fostering their positive learning attitude.Thus,students' interest in mathematics will be aroused while they are feeling full of relaxation,curiosity,happiness and success.What' s more,they will even take an active part in learning and raise their learningefficiency.

In this article,we convert nonlinear constrained MPEC into a different linearly constrained MPEC via a penalty method,and investigate the equivalence between them.

探讨了n单元执行时间T1-tasks和T(m)-tasks获取可行的、非抢占的排序问题.认为在被介绍的任务间,每一任务都有与之相关的一个最后期限和优先约束.给出了一个案的NP-难度,并讨论了一个可解答的个案.

考虑一个有两个功能部件的机器模型,每个部件要么是有序的,要么类似于管道并列的.关于这类机器模型的3个NP-完成结果在[1]中有所阐述.本文说明的是当先前限制因素和其他限制因素削弱时,这三个NP-完成结果仍然正确.