Fibonacci (p, r)-cubes which are median graphs

Fibonacci (p, r)-cubes which are median graphs
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斐波那契 (p, r) 立方体是中值图

DOI:
10.1016/j.dam.2012.09.008
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发表时间:
2013-02
影响因子:
1.1
通讯作者:
Heping Zhang
Heping Zhang
中科院分区:
数学3区
文献类型:
--
作者:
Lifeng Ou;Heping Zhang

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Fibonacci(p,r)-立方体是一种互连拓扑,它统一了超立方体、Fibonacci立方体、邮政网络等广泛的连接拓扑。Klavžar,On median nature and enumerative properties of Fibonacci-like cubes,Discrete Math.299(2005)145-153].完全解决了Fibonacci(p,r)-立方体是中值图的判定问题。证明了Fibonacci(p,r)-立方体是中值图的充要条件是r≤p且r≤2,或p=1且r=n.
The Fibonacci (p, r)-cube is an interconnection topology, which unifies a wide range of connection topologies, such as hypercube, Fibonacci cube, postal network, etc. It is known that the Fibonacci cubes are median graphs [S. Klavžar, On median nature and enumerative properties of Fibonacci-like cubes, Discrete Math. 299 (2005) 145–153]. The question for determining which Fibonacci (p, r)-cubes are median graphs is solved completely in this paper. We show that Fibonacci (p, r)-cubes are median graphs if and only if either r≤p and r≤2, or p=1 and r=n.
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