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math.CO2026
Energy of signed graphs and the vertex cover number
Aniruddha Samanta, Deepshikha, Kinkar Chandra Das
The energy of a signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix . In this article, we prove that $\mathca…
math.CO2026
Hoffman-type Results for the Sum of k Largest Eigenvalues of a Graph
Shaowei Sun, Mengyao Guo, Hongyan Ge +1
Let denote the sum of the largest eigenvalues of a graph . Motivated by the classical Hoffman program for the spectral radius of a graph, we investigate an additive…