## 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
Spectra of digraphs
β Scribed by Richard A. Brualdi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 475 KB
- Volume
- 432
- Category
- Article
- ISSN
- 0024-3795
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In the context of the degree/diameter problem for directed graphs, it is known that the number of vertices of a strongly connected bipartite digraph satisfies a Moore-like bound in terms of its diameter k and the maximum outdegrees (d 1 , d 2 ) of its partite sets of vertices. In this work, we defi
## Abstract A hypotraceable digraph is a digraph __D__ = (__V, E__) which is not traceable, i.e., does not contain a (directed)Hamiltonian path, but for which __D__ β __v__ is traceable for all __ve__ β __V__. We prove that a hypotraceable digraph of order __n__ exists iff __n__ β₯ 7 and that for ea