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星剖分图的排斥和数
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作者 魏建新 刘艳玲 《鲁东大学学报(自然科学版)》 2010年第3期198-199,203,共3页
给出了图Sn′∪nK1(n≥2)的一组排斥和标号,证明了星的剖分图Sn′(n≥2)的排斥和数为其最大度数Δ(Sn′)=n.
关键词 排斥和 排斥和数 图的剖分
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图的Hamilton问题的着色否定方法 被引量:7
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作者 王航平 《中国计量学院学报》 2005年第3期218-221,共4页
就具有Hamilton路或Hamilton圈的图的着色否定方法展开了讨论,并给出了相关的结论.
关键词 HAMILTON 图的剖分 图的着色
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无爪图中具有指定长度的路因子 被引量:2
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作者 高云澍 颜谨 《山东大学学报(理学版)》 CAS CSCD 北大核心 2006年第5期51-54,58,共5页
在无爪图G中,设σ2(G)表示不相邻顶点度和的最小值.令|V(G)|=n=k∑i=1ai,ai 6,1 i k,并且σ2(G)n+k-1,证明了对于图G中任意的k个顶点v1,v2,…vk,都存在点不相交的路P1,P2,…Pk,使得对于1 i k,都有|V(Pi)|=ai并且vi是路Pi的一个端点.
关键词 图的剖分 路因子 点不相交的路
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路图P_3(G)的色数(英文)
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作者 孔祥艳 《新疆大学学报(自然科学版)》 CAS 2008年第3期298-302,共5页
设G是一个图,G的路图P3(G)的顶点集是G中所有三个顶点的路P3,当G中的两个P3路形成P4路或C3圈时,在P3(G)中它们所代表的两个顶点相邻.在这篇文章中,我们得到对于一个无三角形的图G,χ(P3(G))≤β(G),其中β(G)表G的点覆盖数.对于顶点数... 设G是一个图,G的路图P3(G)的顶点集是G中所有三个顶点的路P3,当G中的两个P3路形成P4路或C3圈时,在P3(G)中它们所代表的两个顶点相邻.在这篇文章中,我们得到对于一个无三角形的图G,χ(P3(G))≤β(G),其中β(G)表G的点覆盖数.对于顶点数至少为3的连通图G,χ(P3(G))≤2当且仅当G是二部图,并且χ(P3(G))=1当且仅当G是星图.对于K4的剖分图G,2≤χ(P3(G))≤3.对于系列平行图和外可平面图G,χ(P3(G))≤3. 展开更多
关键词 色数 线 无三角形的 K4的剖 系列平行 外可平面
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Positive and negative shear lag behaviors of composite twin-girder decks with varying cross-section 被引量:10
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作者 ZHU Li NIE JianGuo JI WenYu 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2017年第1期116-132,共17页
In steel-concrete composite twin-girder decks, wide concrete slab would undergo significant shear lag warping effect, including positive and negative. Some researchers have investigated the positive shear lag of compo... In steel-concrete composite twin-girder decks, wide concrete slab would undergo significant shear lag warping effect, including positive and negative. Some researchers have investigated the positive shear lag of composite decks by means of one-dimensional line model, while the studies on the negative shear lag have not yet been reported until now. In this study, a new one-dimensional analytical model of composite twin-girder decks is first proposed based on the model proposed by Dezi et al. Besides slab shear lag effect and partial connection at slab-girder interface which have been included in the model of Dezi et al., the particularity of the proposed model relies on its ability to account for variation characteristic of cross-section. Verification of the analytical model is later conducted through comparison of results from the analytical analysis and elaborate FE analysis for a simply supported composite deck with increasing depth and a two-span continuous one with decreasing depth. Finally, three kinds of structural forms of composite twin-girder decks, including cantilever, simply supported and continuous decks, are selected to carry out the analysis of positive and negative shear lag behaviors by means of the analytical model. The influences of cross-sectional variation characteristic and load type on positive and negative shear lag behaviors are mainly investigated. Additionally, a new definition on effective width for considering simultaneously positive and negative shear lag behaviors is proposed. The results from the proposed analytical model and EC4 specification are compared to provide suggestions for designers and checkers. In this study, the proposed analytical model can provide a powerful numerical tool for researchers to conduct the further investigation, and the analysis on shear lag and effective width can assist in design analysis of composite twin-girder decks. 展开更多
关键词 steel-concrete composite twin-girder deck analytical model variation of cross-section positive and negative shear lagbehavior effective width
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