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Еxtended Schatten norms of random graphs and Nikiforov conjecture
(Hacettepe University, 2022)
In this paper we give a geometric mean and mean of
p-th degree of singular values for almost all graphs. We prove three
theorems about a conjecture of V. Nikiforov for Schatten p-norm
of graphs when p > 2. We prove that ...
Between graphical zonotope and graph-associahedron
(Turkish Journal of Mathematics, 2023)
This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph–associahedron ...