Abstract
In this article, we generate large families of non-isomorphic and signless Laplacian cospectral graphs using partial transpose on graphs. Our constructions are significantly powerful. More than 70% of non-isomorphic signless-Laplacian cospectral graphs can be generated with partial transpose when number of vertices is ≤8. We have also produced numerous examples of non-isomorphic signless Laplacian cospectral graphs.
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