IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Discrete Mathematics and Its Applications
On the Stack Number and the Queue Number of the Bubble-Sort Graph
Yuuki TANAKA
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2016 年 E99.A 巻 6 号 p. 1012-1018

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In this paper, we consider the stack layout of the bubble-sort graph. The bubble-sort graph is a type of Cayley graph on a symmetric group; the bubble-sort graph has an important role for the study of Cayley graphs as interconnection networks. The stack layout and the queue layout problem that are treated in this paper have been studied widely. In this paper, we show that the stack number of the bubble-sort graph BS(n) is either n-1 or n-2. In addition, we show that an upper bound of the queue number of BS(n) is n-2.
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© 2016 The Institute of Electronics, Information and Communication Engineers
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