A proper edge k-coloring is a mappingΦ:E(G)-→{1,2,...,k}such that any two adjacent edges receive different colors.A proper edge k-coloringΦof G is called acyclic if there are no bichromatic cycles in G.The acyclic ...
Supported by the National Natural Science Foundation of China(Grant No.12071354)。
In this paper,we investigate Sobolev mapping properties of the Bergman projection.Th domain we focus on is defined byΩm/n:={(z,w)∈C^(1+N):|w1|<|z|m1/n1<1,…|wN|<|z|/m_(N)/n_(N)<1},where m=(m1,…mN)∈(Z^(+))^(N),n=(...
Let Tn be the number of triangles in the random intersection graph G(n,m,p).When the mean of Tn is bounded,we obtain an upper bound on the total variation distance between Tn and a Poisson distribution.When the mean o...
supported by the Ministry of Science and Technology of China(2018YFA0306003);National Natural Science Foundation of China(22132007,21991132,21972002,22225202,22172002 and 21902003)。
Reversible transformations between fractals and perio dic structures are of fundamental importance for understanding the formation mechanism of fractals.Currently,it is still a challenge to controllably achieve such a...
supported by the Scientific Research Fund of Liaoning Provincial Education Department(CN)(FWZR2020006)
Background To investigate the classification and microsurgical treatment of foramen magnum meningioma(FMM).Methods We retrospectively analyzed 76 patients with FMM and classified them into two classifications,classifi...
financially supported by the National Natural Science Foundation of China(No.51672250 and 51902289);the Zhejiang International Science and Technology Cooperation Project(Nos.2021C01180 and 2019C04020);the Research Foundation of ZSTU(No.18012134-Y).
Vaccine-based cancer immunotherapy has demonstrated a significant potential for cancer treatment in clinics.Although the efficiencies of vaccines are limited,they can be enhanced by a well-designed antigen delivery sy...
the National Natural Science Foundation of China under Grant Nos.12171159 and 12071282;“Digital Silk Road”Shanghai International Joint Lab of Trustworthy Intelligent Software under Grant No.22510750100。
In this work the authors consider the problem of optimally distributing 8 points inside a unit square so that the smallest area of the(38)triangles formed by them is maximal.Symbolic computations are employed to reduc...
supported by the RFBR and the NFSC(Project No.20-51-53013);supported by the NNSF of China(No.12171126).
Earlier it was proved that some distance-regular graphs of diameter 3 with c_(2)=2 do not exist.Distance-regular graphΓwith intersection array{17,16,10;1,2,8}has strongly regular graphΓ_(3)(pseudo-geometric graph fo...