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2022•The Art of Discrete and Applied MathematicsOpen 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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What this paper is about

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, Combinatorics, Hamming code, Computer science, Symmetry (geometry), Mathematics, Discrete mathematics, Algorithm

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