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- Xiao-Dong Zhang, Yong Liu, Min-Xian Han
- 2012

The Wiener index of a connected graph is the sum of topological distances between all pairs of vertices. Wang in [28] gave a mistaken result on the maximum Wiener index of trees with given degree sequence. In this paper we investigate the maximum Wiener index of trees with given degree sequences and the extremal trees which attain the maximum value.

- Jing-Ling Chen, Mo-Lin Ge, Xue-Qian Li, Yong Liu
- 1999

Based on the present data, the three CKM angles may construct a spherical surface triangle whose area automatically provides a " holonomy " phase. By assuming this geometrical phase to be that in the CKM matrix determined by an unknown hidden symmetry, we compare the theoretical prediction on ǫ with data and find they are consistent within error range. We… (More)

- Yong Liu, Huaizhong Zhao
- 2006

Pathwise stationary solutions of stochastic Burgers equations with L 2 [0, 1]-noise and stochastic Burgers integral equations on infinite horizon Summary. In this paper, we show the existence and uniqueness of the stationary solution u(t, ω) and stationary point Y (ω) of the differentiable random dynamical system U : R×L 2 [0, 1]×Ω → L 2 [0, 1] generated by… (More)

- Xiao-Dong Zhang, Yong Liu
- 2009

The Wiener index of a connected graph is the sum of topological distances between all pairs of vertices. Since Wang in [23] gave a mistake result on the maximum Wiener index for given tree degree sequence, in this paper, we investigate the maximum Wiener index of trees with given degree sequences and extremal trees which attain the maximum value.

- Jing-Ling Chen, Mo-Lin Ge, Xue-Qian Li, Yong Liu
- 1997

The relation between CP-violation phase angle and the other three mixing angles in Cabibbo-Kobayashi-Maskawa matrix is postulated. This relation has a very definite geometry meaning. The numerical result coincides surprisingly with that extracting from the experiments. It can be further put to the more precise tests in the future.

- Yong Liu
- 1998

By using the relation between CP-violation phase and the mixing angles in Cabibbo-Kobayashi-Maskawa matrix postulated by us before, the rephasing invariant is recalculated. Furthermore, the problem about maximal CP violation is discussed. We find that the maximal value of Jarlskog's invariant is about 0.038. And it presents at α ≃ 71.0 0 , β ≃ 90.2 0 and γ… (More)

- Jing-Ling Chen, Mo-Lin Ge, Xue-Qian Li, Yong Liu
- 1997

The relation between CP-violation phase angle and the other three mixing angles in Cabibbo-Kobayashi-Maskawa matrix is postulated. This relation has a very definite geometry meaning. The numerical result coincides surprisingly with that extracting from the experiments. It can be further put to the more precise tests in the future.

- Yong Liu, Kelei Wang, Juncheng Wei
- 2016

We prove the existence of global minimizers of Allen-Cahn equation in dimensions 8 and above. More precisely, given any strictly area-minimizing Lawson's cones, there are global minimizers whose nodal sets are asymp-totic to the cones. As a consequence of Jerison-Monneau's program we establish the existence of many counterexamples to the De Giorgi's… (More)