When a digraph and its line digraph are connected and cospectral
β Scribed by Fuji Zhang; Guoning Lin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 266 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
In this paper we characterize all digraphs each one of which is cospectral with its line digraph and both the digraph and its line digraph are connected. Some related enumeration problems are also considered. From these results we can see that there are arbitrarily large sets of cospectral digraphs. (~) 1998 Elsevier Science B.V. All rights reserved In 1960, Harary and Norman [3] introduced the concept of line digraph. For a digraph
π SIMILAR VOLUMES
Let k be a positive integer, and D = (V (D), E(D)) be a minimally k-edge-connected simple digraph. We denote the outdegree and indegree of x β V (D) by Ξ΄ D (x) and Ο D (x), respectively. Let u + (D) denote the number of vertices W. Mader asked the following question in [Mader, in Paul ErdΓΆs is Eigh
Knuth proposed to compare his method and those of Luce for studying strongly connected digraphs. Changing Knuth's notation slightly we construct a set of strongly connected digraphs which is equal to the set of the compound circuits defined by Luce. (Let us recall that Luce proved that a minimal str