4 papers
Positive Square Energy of Graphs with Minimum Degree at Least Two
S. Akbari, Fu-Tao Hu, Ya-Yang Liu
Let denote the sum of the squares of the positive adjacency eigenvalues of a graph . The square-energy conjecture of Elphick, Farber, Goldberg, and Wocjan, proved by Li…
Positive and Negative Square Energies of -Connected Graphs
S. Akbari, Fu-Tao Hu, Ya-Yang Liu
Let be a graph of order , and let and denote the sums of the squares of the positive and negative adjacency eigenvalues of , respectively. Recently, Liu…
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…
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…