3 papers
math.CO2026
Extremal graphs for a conjecture on the square energy of graphs
Fu-Tao Hu, Ya-Yang Liu, Yi Wang
For a graph , let and denote the sums of the squares of its positive and negative adjacency eigenvalues. We determine all equality cases in the conjecture of E…
math.DS2026
Differential positivity and dynamical order in noisy oscillators under unidirectional coupling
Bochun Chang, Xiaofang Lin, Yi Wang
We focus on a stochastic system that models a collection of identical oscillators with unidirectional coupling, perturbed by white noise. The unidirectional coupling breaks the…
math.CO2026
Changes in the Seidel energy of blow-up graphs under edge deletion
Yayang Liu, Yi Wang
Let denote the Seidel matrix of a simple graph , and let be the Seidel energy of , defined as the sum of the absolute values of the eigenvalues of . In…