Let G be a simple graph with n (≥5) vertices. In this paper, we prove that if G is 3 connected and satisfies that d(u,v) =2 implies max ｛d(u),d(v)｝ ≥(n+1) /2 for every pair of vertices u and...Let G be a simple graph with n (≥5) vertices. In this paper, we prove that if G is 3 connected and satisfies that d(u,v) =2 implies max ｛d(u),d(v)｝ ≥(n+1) /2 for every pair of vertices u and v in G , then for any two vertices x, y of G , there are (x,y) paths of length from 6 to n -1 in G , and there are (x,y) paths of length from 5 to n -1 in G unless G[(x )] = G[(y )]≌ K 4 or K 5 , or G [(x )], G [(y )] are complete and (x)∩(y)=.展开更多
A simple graph G on n vettices is said to be a simple MCD-graph if G has no two cyties having the same length and has the maximum possible number of edges.Two results of the number of cy cles in G are given by introdu...A simple graph G on n vettices is said to be a simple MCD-graph if G has no two cyties having the same length and has the maximum possible number of edges.Two results of the number of cy cles in G are given by introdueing the Concept of a path decomposition and by them,the following theorem is proved:If G is a simple MCD-graph,then G is not a 2-connected planar graph and for all n except seven integer,G is not a 2-connected graph on n vertices containing a subgraph homeomor phic to K_4.展开更多
Variable supply voltage-clustered voltage scaling （VS-CVS） scheme can be very effective in reducing power consumption of CMOS circuits without degrading system performance. Level converting flip-flops （LCFFs） are ...Variable supply voltage-clustered voltage scaling （VS-CVS） scheme can be very effective in reducing power consumption of CMOS circuits without degrading system performance. Level converting flip-flops （LCFFs） are key elements in the CVS scheme. In this paper, a new explicit-pulsed double-edge triggered level converting flip-flop （nEP-DET-LCFF） is proposed, which employs double-edge triggering technique, dynamic structure, explicit pulse generator, conditional discharge technique and proper arrangement of stacked nMOS transistors to efficiently perform latching and level converting functions simultaneously. The proposed nEP-DET-LCFF combines merits of both conventional explicit-LCFFs and implicit-LCFFs. Simulation shows the proposed nEP-DET-LCFF has improvement of 19.2% -46% in delay, and 19.4% - 52.9% in power-delay product （PDP） as compared with the published LCFFs.展开更多
We report a comprehensive theoretical investigation of the catalytic reaction mechanisms of propene epoxidation on gold nanoclusters using density functional theory （DFT）. We have shown that water acts as a catalyti...We report a comprehensive theoretical investigation of the catalytic reaction mechanisms of propene epoxidation on gold nanoclusters using density functional theory （DFT）. We have shown that water acts as a catalytic promoter for propene epoxidation on gold catalysts. Even without reducible supports, hydroperoxyl （OOH） and hydroxyl （OH） radicals are readily formed on small-size gold clusters from co-adsorbed H20 and 02, with energy barriers as low as 4-6 kcal/mol （1 cal = 4.186 J）. Propene epoxidation occurs easily through reactions between C3H6 and the weakened O-O bond of the OOH radicals on the surfaces of gold clusters.展开更多
He defect properties in Sc, Y, Gd, Tb, Dy, Ho, Er and Lu were studied using first-principles calculations based on density functional theory. The results indicate that the formation energy of an interstitial He atom i...He defect properties in Sc, Y, Gd, Tb, Dy, Ho, Er and Lu were studied using first-principles calculations based on density functional theory. The results indicate that the formation energy of an interstitial He atom is smaller than that of a substitutional He atom in all hcp rare-earth metals considered. Furthermore, the tetrahedral interstitial position is more favorable than an octahedral position for He defects. The results are compared with those from bcc and fcc metals.展开更多
文摘Let G be a simple graph with n (≥5) vertices. In this paper, we prove that if G is 3 connected and satisfies that d(u,v) =2 implies max ｛d(u),d(v)｝ ≥(n+1) /2 for every pair of vertices u and v in G , then for any two vertices x, y of G , there are (x,y) paths of length from 6 to n -1 in G , and there are (x,y) paths of length from 5 to n -1 in G unless G[(x )] = G[(y )]≌ K 4 or K 5 , or G [(x )], G [(y )] are complete and (x)∩(y)=.
文摘A simple graph G on n vettices is said to be a simple MCD-graph if G has no two cyties having the same length and has the maximum possible number of edges.Two results of the number of cy cles in G are given by introdueing the Concept of a path decomposition and by them,the following theorem is proved:If G is a simple MCD-graph,then G is not a 2-connected planar graph and for all n except seven integer,G is not a 2-connected graph on n vertices containing a subgraph homeomor phic to K_4.
基金Supported by the National Natural Science Foundation of China （No.60503027） Acknowledgements： The authors are grateful to Prof. Zhao PeiYi of Chapman University, Orange, USA, for beneficial discussions.
文摘Variable supply voltage-clustered voltage scaling （VS-CVS） scheme can be very effective in reducing power consumption of CMOS circuits without degrading system performance. Level converting flip-flops （LCFFs） are key elements in the CVS scheme. In this paper, a new explicit-pulsed double-edge triggered level converting flip-flop （nEP-DET-LCFF） is proposed, which employs double-edge triggering technique, dynamic structure, explicit pulse generator, conditional discharge technique and proper arrangement of stacked nMOS transistors to efficiently perform latching and level converting functions simultaneously. The proposed nEP-DET-LCFF combines merits of both conventional explicit-LCFFs and implicit-LCFFs. Simulation shows the proposed nEP-DET-LCFF has improvement of 19.2% -46% in delay, and 19.4% - 52.9% in power-delay product （PDP） as compared with the published LCFFs.
文摘We report a comprehensive theoretical investigation of the catalytic reaction mechanisms of propene epoxidation on gold nanoclusters using density functional theory （DFT）. We have shown that water acts as a catalytic promoter for propene epoxidation on gold catalysts. Even without reducible supports, hydroperoxyl （OOH） and hydroxyl （OH） radicals are readily formed on small-size gold clusters from co-adsorbed H20 and 02, with energy barriers as low as 4-6 kcal/mol （1 cal = 4.186 J）. Propene epoxidation occurs easily through reactions between C3H6 and the weakened O-O bond of the OOH radicals on the surfaces of gold clusters.
基金supported by the National Natural Science Foundation of China (Grant No. 10976007)the Fundamental Research Funds for the Central Universities (Grant No. ZYGX2009J040)+1 种基金the Science and Tech-nology Foundation of China Academy of Engineering Physics (Grant No. 2009A0301015)the US Department of Energy, Office of Fusion En-ergy Science (Grant No. DE-AC06-76RLO 1830)
文摘He defect properties in Sc, Y, Gd, Tb, Dy, Ho, Er and Lu were studied using first-principles calculations based on density functional theory. The results indicate that the formation energy of an interstitial He atom is smaller than that of a substitutional He atom in all hcp rare-earth metals considered. Furthermore, the tetrahedral interstitial position is more favorable than an octahedral position for He defects. The results are compared with those from bcc and fcc metals.
