Suborbits of m-dimensional totally isotropic subspaces under finite singular classical groups

It is well known that the set of all the totally isotropic subspaces with the same dimension in a singular classical space forms an orbit under the action of the corresponding classical group. In this paper, we determine all the orbitals and the rank of this action, and calculate the length of each suborbit.     

超声辐射下一锅法制备O-芳磺酰基芳醛肟

在超声辐射和NaOH存在下,由芳醛肟与芳基磺酰氯在室温CH2Cl2中反应15~60 min生成相应的O-芳磺酰基芳醛肟,收率56%~94%.操作简便,反应条件温和,时间短,产率高.     

Association schemes based on maximal isotropic subspaces in singular classical spaces

The paper provides the construction of association schemes on the sets of the maximal totally isotropic subspaces in singular classical spaces. All intersection numbers of these schemes are computed.     

Error-tolerance pooling designs based on Johnson graphs

As an application of the new model for pooling designs proposed by the last two authors in Guo and Wang (J Combin Theory Ser A 118:2056–2058, 2011), we construct a family of pooling designs based on the $t$ -cliques of various sizes of the Johnson graph $J(n,t)$ . Its performance as a pooling design is better than that given in Bai et al. (Discrete Appl Math 157:3038–3045, 2009).     

Suborbits of a point stabilizer in the orthogonal group on the last subconstituent of orthogonal dual polar graphs

As one of the serial papers on suborbits of point stabilizers in classical groups on the last subconstituent of dual polar graphs, the corresponding problem for orthogonal dual polar graphs over a finite field of odd characteristic is discussed in this paper. We determine all the suborbits of a point-stabilizer in the orthogonal group on the last subconstituent, and calculate the length of each suborbit. Moreover, we discuss the quasi-strongly regular graphs and the association schemes based on the last subconstituent, respectively.     

基于香豆素骨架的重金属和过渡金属离子荧光探针的研究进展

按照对不同金属离子的识别归类总结了近五年来以香豆素为荧光基团的重金属和过渡金属离子(Cr3+,Cd2+,Pb2+和Hg2+;Fe3+,Co2+,Ni2+,Cu2+,Zn2+和Ag+)荧光探针的研究进展,并简要介绍了该类探针的设计、作用机理及应用,展望了该领域的发展趋势。     

Erdős-Ko-Rado theorems in certain semilattices

Suda (2012) extended the Erds-Ko-Rado theorem to designs in strongly regularized semilattices.In this paper we generalize Suda’s results in regularized semilattices and partition regularized semilattices,give many examples for these semilattices and obtain their intersection theorems.     

Metric dimension of symplectic dual polar graphs and symmetric bilinear forms graphs

In this paper, by constructing resolving sets of symplectic dual polar graphs and symmetric bilinear forms graphs, we obtain upper bounds on their metric dimension.