## 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__.
The spectra of wrapped butterfly digraphs
β Scribed by Francesc Comellas; Miquel Angel Fiol; Joan Gimbert; Margarida Mitjana
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 96 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0028-3045
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β¦ Synopsis
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 nodeβexpansion, bisection width, diameter, maximum cut, connectivity, and partitions. In this paper, we determine the complete spectra (eigenvalues and multiplicities) of wrapped butterfly digraphs. Β© 2003 Wiley Periodicals, Inc.
π SIMILAR VOLUMES
Let G be a digraph. Let ,5(G) and U(G) denote the line digraph of G and the underlying graph of G, respectively. A network constructed by the line digraph operation means a graph defined by U( L'( G) ) for some digraph G and some integer k, where Lk( G) = L( Lk-' (G)). Let S(G) be the minimum degree