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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.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…