The line persistence of a graph G, Pt （ G ） is the minimum number of lines which must be removed to increase the diameter of G. In Ref. [7] （J. Shanghai Univ., 2003,7（4）：352-357）, we gave a characterization of ...The line persistence of a graph G, Pt （ G ） is the minimum number of lines which must be removed to increase the diameter of G. In Ref. [7] （J. Shanghai Univ., 2003,7（4）：352-357）, we gave a characterization of graphs of diameter five with ρ1 （ G ）≥2. In this paper we will show that each of the 8 special graphs Xi （ i = 1,2,3,4,5,6,7,8） listed in condition （2） of Theorem 1 in Ref. [7] can not be deleted. Therefore the results we obtained in Ref. [7] can not in general be improved.展开更多
水平桩的p–y曲线大多是基于试验数据(A P I规范,双曲线),旨在从理论出发推导桩侧土体的p–y曲线。首先,推导了与上限解等价的分步弹性加载理论,并结合刚性圆盘在环状弹性介质中受水平力作用下的弹性力学解以研究桩身水平位移和桩周平...水平桩的p–y曲线大多是基于试验数据(A P I规范,双曲线),旨在从理论出发推导桩侧土体的p–y曲线。首先,推导了与上限解等价的分步弹性加载理论,并结合刚性圆盘在环状弹性介质中受水平力作用下的弹性力学解以研究桩身水平位移和桩周平均剪应变间的关系;再应用该平均剪应变和土体的双曲线应力应变关系建立联系以得到桩周土体在加载过程中的平均屈服应力即已发挥的土体强度;以此确立二维情况下桩身位移和桩周土反力的关系即p–y骨干曲线。再进一步根据三维的桩侧初始地基模量和桩侧极限承载力,将其推广至三维。该p–y曲线的优点在于可以考虑土体应力应变关系、桩身刚度和长细比对p–y曲线的影响。最后,将本文p–y曲线和传统p–y曲线分别与工程实例以及有限元结果进行对比,并指出传统p–y曲线的不足及恰当的使用范围。展开更多
The line persistence of a graph G, ρ 1 (G) is the minimum number of lines which must be removed to increase the diameter of G. In this paper we give a characterization of graphs of diameter five with ρ 1(G)≥2.
In this paper we give a necessary and sufficient condition for a graph G with diameter 4 to be 3-diameter-stable.This result extended some known results.
A graph G is said to be an （l,d）-graph （with respect to edges） if d（G-E）≤d,E E（G） such that ｜ E ｜≤l-1.The l-diameter-stable graphs are （l,d）-graphs with diameter d.In this paper some new results on diame...A graph G is said to be an （l,d）-graph （with respect to edges） if d（G-E）≤d,E E（G） such that ｜ E ｜≤l-1.The l-diameter-stable graphs are （l,d）-graphs with diameter d.In this paper some new results on diameter-stable graphs are obtained.展开更多
基金Project supported by the Special Funds for Major Specialities of Shanghai Municipal Commission of Education
文摘The line persistence of a graph G, Pt （ G ） is the minimum number of lines which must be removed to increase the diameter of G. In Ref. [7] （J. Shanghai Univ., 2003,7（4）：352-357）, we gave a characterization of graphs of diameter five with ρ1 （ G ）≥2. In this paper we will show that each of the 8 special graphs Xi （ i = 1,2,3,4,5,6,7,8） listed in condition （2） of Theorem 1 in Ref. [7] can not be deleted. Therefore the results we obtained in Ref. [7] can not in general be improved.
文摘水平桩的p–y曲线大多是基于试验数据(A P I规范,双曲线),旨在从理论出发推导桩侧土体的p–y曲线。首先,推导了与上限解等价的分步弹性加载理论,并结合刚性圆盘在环状弹性介质中受水平力作用下的弹性力学解以研究桩身水平位移和桩周平均剪应变间的关系;再应用该平均剪应变和土体的双曲线应力应变关系建立联系以得到桩周土体在加载过程中的平均屈服应力即已发挥的土体强度;以此确立二维情况下桩身位移和桩周土反力的关系即p–y骨干曲线。再进一步根据三维的桩侧初始地基模量和桩侧极限承载力,将其推广至三维。该p–y曲线的优点在于可以考虑土体应力应变关系、桩身刚度和长细比对p–y曲线的影响。最后,将本文p–y曲线和传统p–y曲线分别与工程实例以及有限元结果进行对比,并指出传统p–y曲线的不足及恰当的使用范围。
文摘The line persistence of a graph G, ρ 1 (G) is the minimum number of lines which must be removed to increase the diameter of G. In this paper we give a characterization of graphs of diameter five with ρ 1(G)≥2.
基金supported by the Shanghai Leading Academic Discipline Project (Grant No.J50101)
文摘In this paper we give a necessary and sufficient condition for a graph G with diameter 4 to be 3-diameter-stable.This result extended some known results.
基金Project supported by the Shanghai Leading Academic Discipline Project (Grant No. J50101)
文摘A graph G is said to be an （l,d）-graph （with respect to edges） if d（G-E）≤d,E E（G） such that ｜ E ｜≤l-1.The l-diameter-stable graphs are （l,d）-graphs with diameter d.In this paper some new results on diameter-stable graphs are obtained.
