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math.OC2026
On Completely Positive and Semidefinite Programs for Moment Bounds on Maximum of Random Quadratics
Buse Unluturk, Divya Padmanabhan, Karthik Natarajan
Completely positive programs are known to provide an exact representation to several NP-hard optimization problems. In this work, we look at the maximum of random quadratic functio…
math.CO2026
Spectral gap of the normalized distance Laplacian
Hitesh Kumar, Kamal Lochan Patra
The smallest positive eigenvalue of the normalized distance Laplacian matrix of a connected graph is called its \emph{spectral gap} and is…
math.CO2026
On the distances between the core center and other central parts of a tree
Akash De, Kamal Lochan Patra
Let be a tree. For a vertex , the eccentric subtree number is defined as where denotes the number of subtree…