Is there any idea on how one can deal with an optimization problem of sum of k largest eigenvalues(min/max) of Laplacian matrix of a simple cycle or tree? I would like to use semidefinite programming for modeling as it's mentioned in Alizadeh's paper.

Thanks for your comments in advance

Is there any idea on how one can deal with an optimization problem of sum of k largest eigenvalues(min) of Laplacian matrix of a simple cycle or tree? I would like to use semidefinite programming for modeling as it's mentioned in Alizadeh's paper.

Thanks for your comments in advance

Is there any idea on how one can deal with an optimization problem of sum of spectral eigenvalues(min/max) over Laplacian matrix of a simple cycle or tree?

Thanks for your comments in advance

Is there any idea on how one can deal with an optimization problem of sum of k largest eigenvalues(min/max) of Laplacian matrix of a simple cycle or tree? I would like to use semidefinite programming for modeling as it's mentioned in Alizadeh's paper.

Thanks for your comments in advance