## Abstract The knowledge of the spectrum of a (di)graph is relevant for estimating some of its structural properties, which provide information on the topological and communication properties of the corresponding networks. Among these properties, we have, for instance, edgeβexpansion and nodeβexpa
β¦ LIBER β¦
The forwarding indices of wrapped butterfly networks
β Scribed by Xinmin Hou; Jun-Ming Xu; Min Xu
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 97 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Let G be a connected graph. A routing in G is a set of fixed paths for all ordered pairs of vertices in G. The forwarding index of G is the minimum of the largest number of paths specified by a routing passing through any vertex of G taken over all routings in G. This article investigates the forwarding index of a wrapped butterfly graph, determines the exact value for the directed case, and gives an upper bound for undirected case. Β© 2008 Wiley Periodicals, Inc. NETWORKS, 2009
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