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Edge Colorings of Planar Graphs without 6-Cycles with Two Chords
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作者 Ling Xue jianliang wu 《Open Journal of Discrete Mathematics》 2013年第2期83-85,共3页
It is proved here that if a planar graph has maximum degree at least 6 and any 6-cycle contains at most one chord, then it is of class 1.
关键词 EDGE COLORING PLANAR GRAPH CYCLE Class 1
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Elasto-plastic Analysis of High-strength Concrete Shear Wall with Boundary Columns Using Fiber Model
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作者 Xiaolong Tong Yangjing Ou +2 位作者 Sixi Xiao jianliang wu Fumin Chen 《Journal of Construction Research》 2020年第1期21-28,共8页
In this study,an experimental study and numerical calculations using fiber model were conducted for four high-strength concrete shear walls with boundary columns under low cyclic load.The boundary column and shear wal... In this study,an experimental study and numerical calculations using fiber model were conducted for four high-strength concrete shear walls with boundary columns under low cyclic load.The boundary column and shear wall were divided into fiber elements,and PERFORM-3D finite element analysis software was used to carry out push-over analysis on the test specimens.The results show that the finite element analysis results were in good agreement with the experimental results.The proposed analysis method could perform elasto-plastic analysis on the high-strength concrete shear wall with boundary columns without distinguishing the categories of frame column and shear wall.The seismic performance of high-strength concrete shear wall with boundary columns was analyzed using the following parameters:axis compression ratio,height to width ratio,ratio of vertical reinforcement,and ratio of longitudinal reinforcement in the boundary column.The results show that the increase in the axial compression ratio causes the bearing capacity of the shear wall to increase at first and then to decrease and causes the ductility to decrease.The increase in the height to width ratio causes the bearing capacity of the shear wall to decrease and its ductility to increase.The ratio of vertical reinforcement was found to have little effect on the bearing capacity and ductility.The increase in the ratio of longitudinal reinforcement in boundary column resulted in a significant increase in the bearing capacity and caused the ductility to decrease at first and then to slowly increase. 展开更多
关键词 Boundary columns High-strength concrete Fiber model Shear wall
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List edge and list total coloring of 1-planar graphs 被引量:6
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作者 Xin ZHANG jianliang wu Guizhen LIU 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第5期1005-1018,共14页
A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, it is proved that each 1-planar graph with maximum degree △ is (A + 1)-edge-choosable and... A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, it is proved that each 1-planar graph with maximum degree △ is (A + 1)-edge-choosable and (△ + 2)- total-choosable if △ ≥ 16, and is A-edge-choosable and (△ + 1)-total-ehoosable if △ ≥21. The second conclusion confirms the list coloring conjecture for the class of 1-planar graphs with large maximum degree. 展开更多
关键词 1-planar graph list coloring conjecture DISCHARGING
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