The Wiener index of a graph is defined to be the sum of the distances of all pairs of vertices in the graph.The kth power G^(k) of a graph G is the graph on V(G)and two vertices are adjacent if and only if their dista...The Wiener index of a graph is defined to be the sum of the distances of all pairs of vertices in the graph.The kth power G^(k) of a graph G is the graph on V(G)and two vertices are adjacent if and only if their distance in G is less or equal to k.In this paper,we computed the Wiener index of the kth power of paths and cycles for any k≥2.展开更多
针对新型电力系统协同调控对传输网络提出了超大带宽、多业务感知承载、确定性传输、绿色低碳的要求,围绕细粒度光传送网(fine-grained Optical Transport Network,fgOTN)组网策略展开研究,通过对比分析,明确了fgOTN传输网中多类业务的...针对新型电力系统协同调控对传输网络提出了超大带宽、多业务感知承载、确定性传输、绿色低碳的要求,围绕细粒度光传送网(fine-grained Optical Transport Network,fgOTN)组网策略展开研究,通过对比分析,明确了fgOTN传输网中多类业务的承载平面,并分别提出了从同步数字体系传输网和光传送网向fgOTN传输网平滑演进的可行性方案,并对fgOTN传输网的建设方案及光路子系统配置提出了推荐性建议,对电力系统骨干传输网向fgOTN的演进具有一定的指导意义。展开更多
Based on the measurement of one-dimensional （1D） optical path difference （OPD） of the supersonic turbulent bound- ary layer, an analytical form for the power spectrum of the two-dimensional （2D） OPD is obtained ...Based on the measurement of one-dimensional （1D） optical path difference （OPD） of the supersonic turbulent bound- ary layer, an analytical form for the power spectrum of the two-dimensional （2D） OPD is obtained with its structure function and under the locally homogeneous isotropic assumption. The universality of this spectrum is argued, and its validity is checked by the comparison with experimental result. The potential applications of this model in theoretical and numerical studies are emphasized. Another contribution of this work is around the application of correlation function to analyzing the statistics of OPD. Based on our results and other results published elsewhere, we show that the OPD is often not stationary, and one should be cautious about using this tool.展开更多
基金Supported by National Natural Science Foundation of China(Grant No.12201471)the Special Foundation in Key Fields for Universities of Guangdong Province(Grant No.2022ZDZX1034).
文摘The Wiener index of a graph is defined to be the sum of the distances of all pairs of vertices in the graph.The kth power G^(k) of a graph G is the graph on V(G)and two vertices are adjacent if and only if their distance in G is less or equal to k.In this paper,we computed the Wiener index of the kth power of paths and cycles for any k≥2.
文摘针对新型电力系统协同调控对传输网络提出了超大带宽、多业务感知承载、确定性传输、绿色低碳的要求,围绕细粒度光传送网(fine-grained Optical Transport Network,fgOTN)组网策略展开研究,通过对比分析,明确了fgOTN传输网中多类业务的承载平面,并分别提出了从同步数字体系传输网和光传送网向fgOTN传输网平滑演进的可行性方案,并对fgOTN传输网的建设方案及光路子系统配置提出了推荐性建议,对电力系统骨干传输网向fgOTN的演进具有一定的指导意义。
基金Project supported by the National Natural Science Foundation of China(Grant No.61008037)the National Basic Research Program of China(Grant No.2009CB724100)
文摘Based on the measurement of one-dimensional （1D） optical path difference （OPD） of the supersonic turbulent bound- ary layer, an analytical form for the power spectrum of the two-dimensional （2D） OPD is obtained with its structure function and under the locally homogeneous isotropic assumption. The universality of this spectrum is argued, and its validity is checked by the comparison with experimental result. The potential applications of this model in theoretical and numerical studies are emphasized. Another contribution of this work is around the application of correlation function to analyzing the statistics of OPD. Based on our results and other results published elsewhere, we show that the OPD is often not stationary, and one should be cautious about using this tool.
