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math.CO2024
New arithmetic invariants for cospectral graphs
Yizhe Ji, Quanyu Tang, Wei Wang +1
An invariant for cospectral graphs is a property shared by all cospectral graphs. In this paper, we establish three novel arithmetic invariants for cospectral graphs, revealing dee…
math.CO2024
On the Positive and Negative -Energies of Graphs under Edge Addition
Quanyu Tang, Yinchen Liu, Wei Wang
In this paper, we introduce the concepts of positive and negative -energies of graphs and investigate their behavior under edge addition. Specifically, we generalize the classic…