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完全2-分图的l-边-连通度
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作者 王斌 罗光耀 《重庆工商大学学报(自然科学版)》 2007年第3期223-224,227,共3页
连通图G所谓的l-边-连通度(l-edge-connectivity),就是使图G成为至少l个分支所必须去掉的最少边数,记作λl(G),即λl(G)=min{|E′|∶E′■E(G),ω(G-E′)≥l}.研究了完全2-分图的l-边-连通度,得到了定理:设G=G[V1,V2]是一个完全2-分图,|... 连通图G所谓的l-边-连通度(l-edge-connectivity),就是使图G成为至少l个分支所必须去掉的最少边数,记作λl(G),即λl(G)=min{|E′|∶E′■E(G),ω(G-E′)≥l}.研究了完全2-分图的l-边-连通度,得到了定理:设G=G[V1,V2]是一个完全2-分图,|V1|=r,|V2|=s,r+k=s,k≥0为整数.则图G的(k+2)-边-连通度为(k+1)r,即λk+2(G)=r(k+1). 展开更多
关键词 完全2-分图 l--连通度 l-序列割
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3-正则Cayley图的l-边-连通度
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作者 雷澜 《重庆工商大学学报(自然科学版)》 2007年第3期221-222,共2页
介绍了l-边-连通度的定义及定义在抽象群上的Cayley图;利用构造最小l-序列边割的方法,结合Cayley图的性质,研究了3-正则Cayley图的l-边-连通度;给出并证明了l为2、3、4时的l-边-连通度λl(G);同时,给出了对n-正则Cayley图的l-边-连通度... 介绍了l-边-连通度的定义及定义在抽象群上的Cayley图;利用构造最小l-序列边割的方法,结合Cayley图的性质,研究了3-正则Cayley图的l-边-连通度;给出并证明了l为2、3、4时的l-边-连通度λl(G);同时,给出了对n-正则Cayley图的l-边-连通度的推论. 展开更多
关键词 l--连通度 Cayley图l-序列边割
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Finite element analysis of chip formation and residual stresses induced by sequential cutting in side milling with microns to sub- micron uncut chip thickness and finite cutting edge radius 被引量:1
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作者 Nejah Tounsi Tahany EI-Wardany 《Advances in Manufacturing》 SCIE CAS CSCD 2015年第4期309-322,共14页
In this paper, the effect of four sequential cuts in side milling of Ti6Al4V on chip formation and residual stresses (RS) are investigated using finite element method (FEM). While the open literature is limited ma... In this paper, the effect of four sequential cuts in side milling of Ti6Al4V on chip formation and residual stresses (RS) are investigated using finite element method (FEM). While the open literature is limited mainly to the studies of orthogonal sequential cutting with the constant uncut chip thickness greater than 0.01 mm, it is suggested herein to investigate not only the variable uncut chip thickness which characterises the down milling process, but also the uncut chip thickness in the sub-micron range using a finite cutting edge radius. For the resulting ductile machining regime, the characteristics of the chip mor- phology, the force profiles, the plastic deformation and temperature distributions have been analyzed. Furthermore, this study revealed that the RS should be extracted toward the area where the insert exits the workpiece in the FE simulation of the down-milling process. The simulation of a number of sequential cuts due to the consecutive engagements of the insert is required in order to capture the gradual accumulation of the RS before reaching an asymptotic convergence of the RS profile. The predicted RS are in reasonable agreement with the experimental results. 展开更多
关键词 Finite element method (FEM) Down milling - sequential cuts Ductile machining regime Chip formation Residual stresses (RS)
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