Supported by the National Natural Science Foundation of China(Grant No.11171343)
Let G be a simple graph. We first show that δ≥di-√[i/2][i/2], where δiand di denote the i-th signless Laplacian eigenvalue and the i-th degree of vertex in G, respectively.Suppose G is a simple and connected graph...
supported by National Natural Science Foundation of China (Grant No.11171343);the Fundamental Research Funds for the Central Universities (Grant No. 2010LKSX05)
Let gl,,(R) be the general linear Lie algebra of all n×n matrices over a unital commutative ring R with 2 invertible, dn(R) be the Cartan subalgebra of gln(R) of all diagonal matrices. The maximal subalgebras o...
Acknowledgements We wish to express our gratitude to the anonymous referees for their helpful comments and suggestions, which improved the presentation of this paper. This work was supported in part by the National Natural Science Foundations of China (Grant Nos. 11171226, 11171343, 11001144) and the Natural Science Foundation of Shandong Province (ZR2010AM014).
Kennaugh's pseudo-eigenvalue equation is a basic equation that plays an extremely important role in radar polarimetry. In this paper, by means of real representation, we first present a necessary and sufficient condi...