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立方图的可圈性 被引量:1
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作者 陈晶晶 胡智全 王艳 《湖北大学学报(自然科学版)》 CAS 北大核心 2009年第3期232-234,240,共4页
图的可圈性是哈密尔顿性的一个推广.设G是有向图,如果对G的每一个定向D,都存在S(D)V(G)使在D中改变所有恰与S(D)中一个顶点相关联的弧的方向后所得到的图为有向哈密尔顿图,则称G为可圈图.证明至少含5个顶点的连通图G的立方图是可圈图当... 图的可圈性是哈密尔顿性的一个推广.设G是有向图,如果对G的每一个定向D,都存在S(D)V(G)使在D中改变所有恰与S(D)中一个顶点相关联的弧的方向后所得到的图为有向哈密尔顿图,则称G为可圈图.证明至少含5个顶点的连通图G的立方图是可圈图当且仅当G不同构于任何一条偶路.该结果改进了Klostermeyer的3个定理. 展开更多
关键词 可圈 哈密尔顿路 哈密尔顿连通 哈密尔顿图 立方图
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图的生成可圈性(英文)
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作者 齐豪 艾尔肯.吾买尔 《新疆大学学报(自然科学版)》 CAS 北大核心 2015年第3期292-296,共5页
给定一个图G=(V,E)及其顶点集V的互不相交的非空子集A1,A2,···,Ar,如果存在互不相交的圈C1,C2,···,Cr满足Ai?V(Ci)(i=1,2,···,r)并且C1∪C2∪···∪Cr生成G,则称G是关于子... 给定一个图G=(V,E)及其顶点集V的互不相交的非空子集A1,A2,···,Ar,如果存在互不相交的圈C1,C2,···,Cr满足Ai?V(Ci)(i=1,2,···,r)并且C1∪C2∪···∪Cr生成G,则称G是关于子集A1,A2,···,Ar生成可圈的.如果G关于V的任意r个互不相交的子集A1,A2,···,Ar都是生成可圈的,则称G是r-生成可圈的.进一步,如果G对于任意满足|A1∪A2∪···∪Ar|≤t的互不相交的点子集A1,A2,···,Ar是r-生成可圈的,则称G是阶数为t的r-生成可圈图.本文中,我们证明了:如果G是顶点数n≥3r+1,边数m≥(n-1)(n-2)2+k+r-2(r≥1,3≤k≤n-r+1)的图,则G是阶数为k+r-3的r-生成可圈图.本文将文献[1]中r=2的结果推广到了一般的情形. 展开更多
关键词 哈密尔顿图 可圈 生成可圈
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可圈的一个充分条件(英文)
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作者 余桂东 叶淼林 《应用数学》 CSCD 北大核心 2008年第1期162-166,共5页
本文我们证明如下结果:设G=(V,E)是一个n(n≥3)阶k-连通(k≥2)图,记X1,X2,…,Xk为V的子集,X=X1∪X2∪…∪Xk.若对每个i,i=1,2,…,k,满足:对任意的u,v∈Xi,有d(u)+d(v)≥n或|N(u)∪N(v)|≥n-δ或|N(u)∩N(v)|≥α,这里δ是G的最小度,α是... 本文我们证明如下结果:设G=(V,E)是一个n(n≥3)阶k-连通(k≥2)图,记X1,X2,…,Xk为V的子集,X=X1∪X2∪…∪Xk.若对每个i,i=1,2,…,k,满足:对任意的u,v∈Xi,有d(u)+d(v)≥n或|N(u)∪N(v)|≥n-δ或|N(u)∩N(v)|≥α,这里δ是G的最小度,α是G的独立数,则G是X-可圈的. 展开更多
关键词 哈密尔顿图 可圈
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扩容图的大子集的可圈性
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作者 斯钦 阿勇嘎 《宝鸡文理学院学报(自然科学版)》 CAS 2013年第4期1-2,共2页
目的针对完全扩容图的结构提出了任意图X的n次扩容变换图n(X)。方法首先探讨了3-次图可圈性结构与图的扩容变换之间的关系,判断多次扩容变换下图的可圈性。结果与结论得到n(X)的大子集的可圈性结果,这些结果加强了3-连通3-次图中大... 目的针对完全扩容图的结构提出了任意图X的n次扩容变换图n(X)。方法首先探讨了3-次图可圈性结构与图的扩容变换之间的关系,判断多次扩容变换下图的可圈性。结果与结论得到n(X)的大子集的可圈性结果,这些结果加强了3-连通3-次图中大子集的可圈性结论。 展开更多
关键词 3-次图 n次扩容图 可圈
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关于一类立方图的可圈性研究 被引量:3
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作者 孙静 陈园 胡智全 《华中师范大学学报(自然科学版)》 CAS CSCD 2006年第1期16-17,20,共3页
设G为无向图,如果对G的每一个定向D,都存在S(D)V(G)使在D中改变所有恰与S(D)中一个顶点相关联的弧的方向后所得的图为有向哈密尔顿图,则称G为可圈图.K losterm eyer和So ltes证明了P34k(k≥1)是不可圈图,现证明对任意整数n≥3,P3n是可... 设G为无向图,如果对G的每一个定向D,都存在S(D)V(G)使在D中改变所有恰与S(D)中一个顶点相关联的弧的方向后所得的图为有向哈密尔顿图,则称G为可圈图.K losterm eyer和So ltes证明了P34k(k≥1)是不可圈图,现证明对任意整数n≥3,P3n是可圈图当且仅当n为奇数. 展开更多
关键词 可圈 推点 有向哈密尔顿图 立方图
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原始图与三次图的可圈度
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作者 宝升 王海荣 《数学研究》 CSCD 1996年第2期5-11,共7页
本文综述关于原始图与三次图的可圈度的近期结果并提出一些未解决的问题.
关键词 原始图 三次图 可圈 循环割集
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平方图的可圈性
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作者 涂巧霞 王艳 《大学数学》 2020年第1期25-27,共3页
连通图的幂图的可圈性研究在结构图论中具有十分重要的意义.论文主要解决了Klostermeyer在文献[2]提出的一个开放性问题,至少五个顶点的3连通图的平方图是一类可圈图.
关键词 3连通 收缩 幂图 哈密尔顿连通 可圈
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三次图中包含给定点集的大子集的圈 被引量:1
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作者 阿勇嘎 宝升 《内蒙古师范大学学报(自然科学汉文版)》 CAS 1995年第3期6-10,共5页
证明了如果X是3-连通三次图G的任意19-点集,那么下面两断言之一成立:(1)X的任一12-点子集可圈;(2)X的某一17-点子集可圈。
关键词 三次图 收缩 可圈 连通图 正则图
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长圈的邻域交条件的推广
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作者 余桂东 叶淼林 《大学数学》 北大核心 2007年第3期70-72,共3页
证明了若G为一个k(k≥2)连通简单图,独立数为α,V(G)=n≥3,X1,X2,…,Xk是顶点集合V的子集,X=X1∪X2∪…∪Xk,且对于Xi(i=1,2,…,k)中任意两个不相邻点u,v,|N(u)∩N(v)|≥α,则X在G中可圈,并给出几个相关推论.
关键词 邻域 HAMILTON图 可圈
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3—连通、3—正则图中的圈
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作者 阿勇嘎 斯钦 《河北机电学院学报》 1997年第1期49-52,共4页
本文介绍了3—连通、3—正则图中包含给定点集的大子集的圈。
关键词 连通图 可圈 3-正则图 图论
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长圈的邻域并条件的推广
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作者 余桂东 《安庆师范学院学报(自然科学版)》 2006年第2期4-5,8,共3页
本文证明了若G为一个k(k≥2)连通简单图,最小度为,δV(G)=n≥3,X 1,X 2,……,X k是顶点集合V的子集,X=X1∪X2∪…∪Xk,且对于Xi(i=1,2……k)中任意两个不相邻点u,v,都有N(u)∪N(v)≥n-δ,则X在G中可圈。并给出几个相关推论.
关键词 邻域 HAMILTON图 可圈
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三次平面图中包含六点二边集的圈
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作者 宝升 《纯粹数学与应用数学》 CSCD 1995年第2期100-104,共5页
得到了3-连通三次平面图具有包含其给定六点二边集的圈的一个充分必要条件.并且列出一些悬而未决的研究问题.
关键词 平面图 可圈 三次 充要条件
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跟我学(85) 酸酸鸡
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作者 兰奎全 曾兵 《四川烹饪》 2009年第11期101-101,共1页
酸酸鸡是近两年流行于成都市郊的一道江湖菜,而这道菜实为酸辣味拌鸡,也许是创制者在给这菜取名时想来点新意吧,于是便随口叫出了这么一个通俗的名字——酸酸鸡。
关键词 江湖菜 酸辣味 酸酸鸡 黄桃斯可圈
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A Study on the Relationships of Ecological Civilization Construction with Natural Conservation and Sustainable Resources Use
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作者 王献溥 于顺利 方伟伟 《Agricultural Science & Technology》 CAS 2015年第1期172-175,共4页
Ecological Civilization Construction and natural conservatiorl and sustain- able resources use are three aspects of same object proposed from various angles of theory and practice. The paper intends to simply deal wit... Ecological Civilization Construction and natural conservatiorl and sustain- able resources use are three aspects of same object proposed from various angles of theory and practice. The paper intends to simply deal with some problems of this aspect and to propose corresponding suggestions for related departments. 展开更多
关键词 Ecological civilization construction Eco-developmental civilization era Natural conservation Sustainable development Biosphere reserve
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COMPLICATION ANALYSIS OF INTRACRANIAL ANEURYSM EMBOLIZATION WITH CONTROLLABLE COILS 被引量:12
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作者 王大明 凌锋 王安顺 《Chinese Medical Sciences Journal》 CAS CSCD 2004年第1期51-55,共5页
Objective To explore the causes, prevention, and management of the complications during intra-cranial aneurysm embolization with controllable coils (mechanical detachable spiral, MDS; and Guglielmi detachable coil, GD... Objective To explore the causes, prevention, and management of the complications during intra-cranial aneurysm embolization with controllable coils (mechanical detachable spiral, MDS; and Guglielmi detachable coil, GDC). Methods Retrospective review of 120 cases with 125 intracranial aneurysms embolized with con-trollable coils from March 1995 to July 1999 was conducted. The 20 accidents(in 18 cases) including aneurysm rupture, over-embolization, protrusion of coil end into the parent artery, and thrombosis of the parent artery were analyzed. Results Among the 20 accidents, there were 6 aneurysm ruptures, 6 over-embolizations (in 5 cases), 6 coil protrusions, and 2 thromboses (one was secondary to coil protrusion). The embolization-related mortality was 3.33% (4/120), the permanent neurological deficit was 1.67% (2/120), and the transitory neurological deficit was 3.33%(4/120). The occurrence and outcome of the complications were related to the embolizing technique, the pattern of aneurysm and its parent artery, the imperfection of embolic materials, and the observation and management during embolization. Conclusion Skilled embolizing technique, better understanding of the angio-anatomy of an aneurysm and its parent artery, correct judgement and management during embolization, and improvement of embolic materials are beneficial to the reduction of complications and to the melioration of the outcome of complications. 展开更多
关键词 intracranial aneurysm EMBOLIZATION COMPLICATION
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Expansion of Lie Algebra and Its Application 被引量:1
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作者 YANG Yong ZHAO Yan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第1期19-21,共3页
Firstly we expand a finite-dimensional Lie algebra into a higher-dimenslonal one. By making use of the later and its corresponding loop algebra, the expanding integrable model of the multi-component NLS-mKdV hierarchy... Firstly we expand a finite-dimensional Lie algebra into a higher-dimenslonal one. By making use of the later and its corresponding loop algebra, the expanding integrable model of the multi-component NLS-mKdV hierarchy is worked out. 展开更多
关键词 loop algebra zero curvature equation expanding integrable model multi-component NLS-mKdV hierarchy
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GF(2)-modules for Sz (q) wrC_t
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作者 王秀琴 熊胜利 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第4期87-90, ,共4页
In this note the authors investigates the property of the GF(2)-modules for the wreath products Sz(q)wrCt,and establish some sufficient condition for a Sz(q)wrCt, GF(2)-module to be natural.
关键词 wreath product natural module chief factor irreducible module
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Fluid Flow and Heat Transfer Characteristic of Outer and Inner Half Coil Jackets 被引量:15
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作者 李雅侠 吴剑华 +1 位作者 战洪仁 王翠华 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2011年第2期253-261,共9页
The physical models of the outer and inner half coil jackets were simplified to two types of coiled ducts.The mathematic models of incompressible fluid at the condition of laminar flow and heat transfer in the two typ... The physical models of the outer and inner half coil jackets were simplified to two types of coiled ducts.The mathematic models of incompressible fluid at the condition of laminar flow and heat transfer in the two types of jackets for cooling process reactor were set up and solved by the semi-implicit method for pressure linked equa-tions consistent (SIMPLEC) algorithm based on a control volume method.The flow and temperature fields were given and the effects of Dean and Prandtl numbers on flow and heat transfer were studied.The results show that flow in the inner half coil jacket is found to exhibit transition of secondary flow pattern from two vortices to four vortices when the Dean number increases,but that in the outer half coil jacket is not found.The critical Dean num-ber is about 96.The inner half coil jacket has stronger heat transfer ability than the outer half coil jacket and this superiority is more evident with larger Prandtl number.However,as the Dean number is greater than 105,the flow resistance enhances more severely in the inner jacket than the outer jacket.For both jackets,the centers of the heated wall are the poorest for heat transfer. 展开更多
关键词 half coil jacket secondary flow temperature field heat transfer enhancement
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COMPARISON OF CELLULOSE ACETATE POLYMER AND ELECTROLYTIC DETACHABLE COILS FOR TREATMENT OF CANINE ANEURYSMAL MODELS
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作者 杨新健 吴中学 +2 位作者 李佑祥 孙异临 尹可 《Chinese Medical Sciences Journal》 CAS CSCD 2002年第1期47-51,共5页
Electrolytic detachable coils (EDC) have been the main embolic materi als for intracranial aneurysms. Liquid aneurysmal embolic materials represented by cellulose acetate polymer (CAP) are still in controversy. In thi... Electrolytic detachable coils (EDC) have been the main embolic materi als for intracranial aneurysms. Liquid aneurysmal embolic materials represented by cellulose acetate polymer (CAP) are still in controversy. In this research, t he embolization results and pathological reactions after embolization of canine aneurysmal models with EDC or CAP were observed and compared. Methods. The canine aneurysmal models constructed by anastomosis of venous pouch es were randomly grouped. The aneurysms were respectively occluded with CAP and electrolytic detachable coils that was named by Wu electrolytic detachable coil (WEDC) and made by us. Angiogram follow ups were performed at 24 hour, 2 week , and 2 month after embolization. The occluded aneurysms were dissected in each stage for light microscopic, electron microscopic, and histochemical research. Results. The effect of embolization was significantly better with WEDC than that with CAP . Post embolized complications such as aneurysm rupture and stenosis of parent arteries could only be found in CAP group. Pathol ogical research showed that CAP mass could packed the aneurysms more densely tha n coils. Acute chemical damage of aneurysmal wall and inflammatory cell infiltra tion was prominently found in early stage after CAP embolization. Organization of thrombus inside aneurysms and formation of endothelial tissue over the orific es of aneurysmal necks could be found in both groups 2 months after embolization . But parts of coils might be exposed outside endothelial layer. Conclusions. EDC are still the most safe, efficient, and reliable instruments to embolize aneurysm. CAP should be improved further to solve the problem of stron g chemical corrosion and difficulty in control before it is widely used. 展开更多
关键词 intracranial aneurysm EMBOLISM cellulose acetate polymer electrol ytic detachable coils
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A New Loop Algebra and Its Corresponding Multi-component Integrable Hierarchy
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作者 YAO Yu-Qin CHEN Deng-Yuan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3期385-388,共4页
A type of new loop algebra GM is constructed by making use of the concept of cycled numbers. As its application, an isospectral problem is designed and a new multi-component integrable hierarchy with multi-potential f... A type of new loop algebra GM is constructed by making use of the concept of cycled numbers. As its application, an isospectral problem is designed and a new multi-component integrable hierarchy with multi-potential functions is worked out, which can be reduced to the famous KN hierarchy. 展开更多
关键词 cycled numbers loop algebra multi-component integrable hierarchy
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