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Diameter-vulnerability of large bipartite digraphs

✍ Scribed by C. Padró; P. Morillo; E. Llobet


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
713 KB
Volume
64
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES


Diameter vulnerability of iterated line
✍ C. Padró; P. Morillo 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 823 KB

Because of their good properties, iterated line digraphs (specially Kautz and de Bruijn digraphs) have been considered to design interconnection networks. The diameter-vulnerability of a digraph is the maximum diameter of the subdigraphs obtained by deleting a fixed number of vertices or arcs. For a

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We show that in the Kautz digraph K(d, t) with d' + d'-1 vertices each having out degree d, there exist d vertex-disjoint paths between any pair of distinct vertices, one of length at most t, d -2 of length at most t + 1, and one of length at most t + 2.

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This paper studies the relation between the connectivity and other parameters of a bipartite (di)graph G. Namely, its order n, minimum degree 6, maximum degree A, diameter D, and a new parameter f related to the number of short paths in G. (When G is a bipartite -undirected --graph this parameter tu

Large bipartite graphs with given degree
✍ C. Delorme 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 393 KB 👁 1 views

W e give constructions of bipartite graphs with maximum A, diameter D on B vertices. such :bat for every D 3 2 :he !im i nf , . . , B . A'"' = b,, > 0. W e also improve similar results on ordinary graphs, for example, w e prove that lim, , , N -A-." = 1 if D is 3 or 5. This is a partial answer to a