Nearly tight bounds on the number of Hamiltonian circuits of the hypercube and generalizations

Author:

Feder Tomás,Subi Carlos

Publisher

Elsevier BV

Subject

Computer Science Applications,Information Systems,Signal Processing,Theoretical Computer Science

Reference16 articles.

1. Certain properties of nonnegative matrices and their permanents;Brègman;Soviet Math. Dokl.,1973

2. A new upper bound for the number of Hamiltonian cycles in the n-cube;Clark;J. Combin. Inform. System Sci.,2000

3. On the number of 1-factors in the n-cube;Clark;Congr. Numer.,1997

4. On the number of Hamiltonian circuits in the n-cube;Dixon;Proc. Amer. Math. Soc.,1975

5. Bounds on the number of Hamiltonian circuits in the n-cube;Douglas;Discrete Math.,1977

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1. Overview of constructions and properties of Gray codes;Mathematical Problems of Cybernetics;2022

2. On locally balanced gray codes;Journal of Applied and Industrial Mathematics;2016-01

3. Construction of hamiltonian cycles with a given spectrum of edge directions in an n-dimensional Boolean cube;Journal of Applied and Industrial Mathematics;2012-07

4. Some unsolved problems in discrete mathematics and mathematical cybernetics;Russian Mathematical Surveys;2009-10-31

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