The first author was supported by the“National Group for Algebraic and Geometric Structures,and Their Applications”(GNSAGA-INdAM).
We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones,and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals:Cohen-Macaulay bipart...
This work was supported by National Natural Science Foundation of China(Nos.61222201,11171283);We are grateful to the Journals Editorial Office for the useful suggestions and help.And we gratefully acknowledge the two reviewers who correct some errors of this paper。
For a simple and connected graph G,denote the domination number,the diameter,and the radius of G asβ(G),D(G),and r(G),respectively.In this paper,we solve two conjectures on the upper bounds ofβ(G)·D(G)andβ(G)+r(G)...
supported by National Natural Science Foundation of China (Grant No.10771102)
Let G be a Carnot group and D={e 1,e 2 } be a bracket generating left invariant distribution on G.In this paper,we obtain two main results.We first prove that there only exist normal minimizers in G if the type of D i...
the National Natural Science Foundation of China (No.19671082).
Some extremal properties of the integral of Legendre polynomials are given, which are of independent interest. Meanwhile they show that a conjecture of P. Erdos[1] is plausible and maybe provides some means to prove t...
Scientific Research Foundation for Returned Overseas Chinese Scholars of the Ministry of Education of China.
We constructed a kind of continuous multivariate spline operators as the approximation tools of the multivariate functions on the Rd instead of the usual multivariate cardinal interpolation oper-ators of splines, and ...
Let B denote the set of those points p in an infinite dimensional Teichmiiller space such that a geodesic between the zero point and p is not unique. Some properties of the set B are given.
Let P-n be an algebraic polynomial of degree n with real coefficients. We study the extremal properties of the integral integral(-1)(1)(P ''(n) (x))(2)dx and integral(-1)(1) (1-x(2))1/2(P ''(n)(x))(2)dx subject to the...