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math.CO2017★ 1 cited
Eigenvalue monotonicity of -Laplacians of trees along a poset
Mukesh Kumar Nagar
Let be a tree on vertices with -Laplacian . Let be the generalized tree shift poset on the set of unlabelled trees with vertices. We prove that fo…
math.CO2017★ 4 cited
Laplacian Immanantal polynomials and the GTS poset on Trees
Mukesh Kumar Nagar, Sivaramakrishnan Sivasubramanian
Let be a tree on vertices with Laplacian and let be the generalized tree shift poset on the set of unlabelled trees on vertices. Inequalities are known fo…