Hamiltonian cycles in hypercubes with faulty edges
نویسندگان
چکیده
منابع مشابه
Hamiltonian cycles in hypercubes with faulty edges
0020-0255/$ see front matter 2013 Elsevier Inc. All rights reserved. http://dx.doi.org/10.1016/j.ins.2013.09.012 q This work was supported in part by the National Science Council of Republic of China under contracts NSC 98-2221-E and NSC 101-2221-E-011-038-MY3. ⇑ Corresponding author. Address: Department of Information Management, Shih Hsin University, 1 Lane 17 Section 1, Mu-Cha Rd., Taipei 10...
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Ruskey and Savage asked the following question: Does every matching of Qn for n ≥ 2 extend to a Hamiltonian cycle of Qn? J. Fink showed that the question is true for every perfect matching, and solved the Kreweras’ conjecture. In this paper we consider the question in hypercubes with faulty edges. We show that every matching M of at most 2n− 1 edges can be extended to a Hamiltonian cycle of Qn ...
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In the paper “Fault-free Mutually Independent Hamiltonian Cycles in Hypercubes with Faulty Edges” (J. Comb. Optim. 13:153–162, 2007), the authors claimed that an n-dimensional hypercube can be embedded with (n−1−f )-mutually independent Hamiltonian cycles when f ≤ n−2 faulty edges may occur accidentally. However, there are two mistakes in their proof. In this paper, we give examples to explain ...
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Two ordered Hamiltonian paths in the n-dimensional hypercube Qn are said to be independent if i-th vertices of the paths are distinct for every 1 ≤ i ≤ 2n. Similarly, two s-starting Hamiltonian cycles are independent if i-th vertices of the cycle are distinct for every 2 ≤ i ≤ 2n. A set S of Hamiltonian paths and sstarting Hamiltonian cycles are mutually independent if every two paths or cycles...
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ژورنال
عنوان ژورنال: Information Sciences
سال: 2012
ISSN: 0020-0255
DOI: 10.1016/j.ins.2012.06.006