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2021•arXiv (Cornell University)Open access

Symmetry Parameters of Various Hypercube Families

Debra Boutin, Sally Cockburn, Lauren Keough, Sarah Loeb, Puck Rombach

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Abstract

In this paper we study the symmetry parameters determining number, distinguishing number, and cost of 2-distinguishing, for some variations on hypercubes, namely Hamming graphs, powers of hypercubes, folded hypercubes, enhanced hypercubes, augmented hypercubes and locally twisted hypercubes.

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In this paper we study the symmetry parameters determining number, distinguishing number, and cost of 2-distinguishing, for some variations on hypercubes, namely Hamming graphs, powers of hypercubes, folded hypercubes, enhanced hypercubes, augmented hypercubes and locally twisted hypercubes.

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Available abstract

In this paper we study the symmetry parameters determining number, distinguishing number, and cost of 2-distinguishing, for some variations on hypercubes, namely Hamming graphs, powers of hypercubes, folded hypercubes, enhanced hypercubes, augmented hypercubes and locally twisted hypercubes.

Key concepts: Hypercube, Hamming code, Combinatorics, Symmetry (geometry), Hamming graph, Computer science, Mathematics, Discrete mathematics

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