3-extraconnectivity of Cayley Graphs Generated by Transposition Generating Trees

给定一个图g和一个非负整数g,若图g中存在(边)点集,使得删除该集合后图g不连通并且每个连通分支的点数大于g,所有这样的(边)点集的最小基数,称为g-额外(边)连通度(记作κg(g)(λg(g)).本文将确定由对换树生成的凯莱图的3-额外(边)连通度(记作κ3(λ3).Given a graph G and a non-negative integer g, the g-extra(edge) connectivity of G (written κg(G)(λg(G))is the minimum cardinality of a set of (edges)vertices of G, if any, whose deletion disconnects G, and every remaining component has more than g vertices.In this paper, we determine 3-extra(edge) connectivity(written κ3(λ3)) of Cayley graphs generated by transposition trees.supportedbyNSFC(No.10671165

Sufficient Conditions for λ_3-Optimality of Triangle-Free Graphs

设G=(V,E)是一个连通图,边集S(?)E是一个3-限制性边割,如果G-S是不连通的并且G-S的每个分支至少有三个点.图G的3-限制性边连通度λ_3(G)是G中最小的一个3-限制性边割的基数.图G是λ_3(G)连通的,如果3-限制性边割存在.G是λ_3-最优的,如果λ_3(G)=ξ_3(G),其中ξ_3(G)=min{|[U,(?)]|:U(?)V,|U|=3 and G[U]是连通的).G[U]表示V的子集U的导出子图,(?)=V\U表示U的补.[U,(?)]是一条边的一个端点在U中另一个端点在(?)中的边的集合.本文给出了不含三角形的图是λ_3-最优的一些充分条件.Let G=(V,E) be a connected graph.An edge set S(?)E is a 3-restricted- edge-cut,if G-S is disconnected and every component of G-S has at least three vertices. The 3-restricted-edge-connectivityλ_3(G) of G is the cardinality of a minimum 3-restricted- edge-cut of G.A graph G isλ_3-connected,if 3-restricted-edge-cuts exist.A graph G is calledλ_3-optimal,ifλ_3(G)=ξ_3(G),whereξ_3(G)=min{|[U,(?)]|:U(?)V,|U|=3 and G[U]is connected}.G[U]is the subgraph of G induced by the vertex subset U(?)V,and (?)=V\U is the complement of U.[U,(?)]is the set of edges with one end in U and the other in U.In this paper,we give some sufficient conditions for triangle-free graphs to beλ_3-optimal.supported by NSFC (No.10671165);; XJEDU (No.2004G05)

市售牛油果油和葡萄籽油品质研究Quality analysis of commercially available avocado oil and grapeseed oil

为了全面分析我国市售牛油果油和葡萄籽油的品质，为食用油产品开发提供指导，采集了市售牛油果油、葡萄籽油主流产品各9种，全面分析其理化品质、危害物风险和营养素水平，并与常见大宗食用油营养素水平进行对比。结果表明：在理化品质上，两种植物油的不同产品存在一定差异，但均符合国家标准；两种植物油苯并$$a$$芘、塑化剂含量均符合国家标准，88.9%的产品反式脂肪酸含量控制在1%以内，但国际前沿关注的3-氯丙醇酯和缩水甘油酯存在超标风险；牛油果油的主要营养素为油酸、角鲨烯、植物甾醇、维生素E，葡萄籽油的主要营养素为亚油酸、植物甾醇、维生素E、谷维素。 In order to comprehensively investigate the product quality of avocado oil and grapeseed oil in Chinese market, and provide guidance for the development of edible oil products，9 different products of each kind of oil were collected. Their physicochemical quality, risk of hazards, and nutrient level were fully analyzed, and their nutrient level was compared with the common bulk edible oil. The results showed that in terms of physicochemical quality, there were certain differences between different products of the two vegetable oils, but both met the national standards. The content of benzo$$a$$pyrene and plasticizer in the two vegetable oils met the national standards, and the content of trans fatty acid in 88.9% of the products was controlled within 1%, but the 3-chloropropanol ester and glycidyl ester, which were concerned by the international frontier, had the risk of exceeding the standard. The primary nutrients in avocado oil were oleic acid, squalene, phytosterol and vitamin E, and in grapeseed oil were linoleic acid, phytosterol, vitamin E and glutathione, respectively

Expertadvice on the diagnosis and intervention of Chinese developmental dyslexia

发展性阅读障碍是一种以儿童阅读能力显著落后于年龄和智力应有水平为主的障碍，属于具有遗传基础的神经发育性障碍。目前国内对发展性阅读障碍的评估、诊断与干预多出现在科研场合，临床诊疗和教育性质的应用明显不足。专家意见采用专家书面反馈意见和视频会议讨论的形式，以发展性阅读障碍的病因学基础为指导，对发展性阅读障碍的临床表现、诊断流程及干预原则等形成统一意见，旨在为相关专业领域医师和康复专业人员提供参考和帮助，亦为开展对发展性阅读障碍的教育性干预活动提供参考。</p

JUNO Sensitivity on Proton Decay p→νˉK+p\to \bar\nu K^+ Searches

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this paper, the potential on searching for proton decay in $p\to \bar\nu K^+$ mode with JUNO is investigated.The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits to suppress the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar\nu K^+$ is 36.9% with a background level of 0.2 events after 10 years of data taking. The estimated sensitivity based on 200 kton-years exposure is $9.6 \times 10^{33}$ years, competitive with the current best limits on the proton lifetime in this channel

JUNO sensitivity on proton decay p → ν K + searches*

The Jiangmen Underground Neutrino Observatory (JUNO) is a large liquid scintillator detector designed to explore many topics in fundamental physics. In this study, the potential of searching for proton decay in the $p\to \bar{\nu} K^+$ mode with JUNO is investigated. The kaon and its decay particles feature a clear three-fold coincidence signature that results in a high efficiency for identification. Moreover, the excellent energy resolution of JUNO permits suppression of the sizable background caused by other delayed signals. Based on these advantages, the detection efficiency for the proton decay via $p\to \bar{\nu} K^+$ is 36.9% ± 4.9% with a background level of $0.2\pm 0.05({\rm syst})\pm$$0.2({\rm stat})$ events after 10 years of data collection. The estimated sensitivity based on 200 kton-years of exposure is $9.6 \times 10^{33}$ years, which is competitive with the current best limits on the proton lifetime in this channel and complements the use of different detection technologies