Author

Yi Wang

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Preprint Jul 2026

Differential positivity and dynamical order in noisy oscillators under unidirectional coupling

We focus on a stochastic system that models a collection of $N$ identical oscillators with unidirectional coupling, perturbed by white noise. The unidirectional coupling breaks the symmetry of mutual dependence among the oscillators. It is shown that the associated random dynamical system $\phi$ admits a dynamical orde...

Bochun Chang, Xiaofang Lin, Yi Wang · 0 citations

Preprint Aug 2026

Extremal graphs for a conjecture on the square energy of graphs

For a graph $G$, let $s^+(G)$ and $s^-(G)$ denote the sums of the squares of its positive and negative adjacency eigenvalues. We determine all equality cases in the conjecture of Elphick, Farber, Goldberg, and Wocjan that every connected graph $G$ on $n$ vertices satisfies \[ \min \{s^+(G),s^-(G)\}\ge n-1. \] Namely, e...

Fu-Tao Hu, Ya-Yang Liu, Yi Wang · 1 citation