In this paper, we present two algorithms to find a Hamiltonian cycle extending a given perfect matching. The first algorithm computes the entire Hamiltonian ...
In this paper, we present two algorithms to find a Hamiltonian cycle extending a given perfect matching. The first algorithm finds whole Hamiltonian cycle ...
Two algorithms extending a perfect matching of the hypercube into a Hamiltonian cycle. From MaRDI portal. Publication:2189829. Jump to:navigation, search.
In 1993 Ruskey and Savage conjectured that in the d-dimensional hypercube, every matching M can be extended to a Hamiltonian cycle. Fink verified this for ...
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Jul 20, 2019 · I want to construct the all perfect matchings of hypercube Q4 and Q5. I don't know of any library for finding all perfect matchings of a graph directly.
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Jun 6, 2024 · Two algorithms extending a perfect matching of the hypercube into a Hamiltonian cycle. Article. Mar 2020. Jiří Fink. In paper Fink (2007) we ...
Sep 28, 2007 · Fink [F] proved Kreweras' conjecture [K] which asserts that every perfect matching of hypercube extends to a Hamiltonian cycle. Bibliography.
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Jul 1, 2024 · The Ruskey-Savage conjecture asserts that every matching of Q d , d ≥ 2 , can be extended to a Hamilton cycle, i.e., to a cycle that visits ...
Nov 13, 2009 · This is a known open problem. See "Matchings extend to Hamiltonian cycles in hypercubes" over at the Open Problem Garden.
Jan 3, 2024 · Specifically, they considered the problem of extending a perfect matching of Q d subscript 𝑄 𝑑 Q_{d} italic_Q start_POSTSUBSCRIPT italic_d ...