New Bounds for Hypercube Slicing Numbers

What is the maximum number of edges of the d-dimensional hypercube, denoted by S(d,k), that can be sliced by k hyperplanes? This question on combinatorial properties of Euclidean geometry arising from linear separability considerations in the theory of Perceptrons has become an issue on its own. We...

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Bibliographic Details
Main Authors: M. Reza Emamy-Khansary, Martin Ziegler
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2001-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2296/pdf