Edge-disjoint spanners of complete bipartite graphs
نویسندگان
چکیده
A spanning subgraph S=(V; E′) of a connected simple graph G=(V; E) is an (x+c)-spanner if for any pair of vertices u and v; dS(u; v)6dG(u; v)+c where dG and dS are the usual distance functions in graphs G and S, respectively. The parameter c is called the delay of the spanner. We investigate the number of edge-disjoint spanners of a given delay that can exist in complete bipartite graphs. We determine the exact number of such edge-disjoint spanners of delay 4 or larger. For delay 2, we obtain many exact values of and some general bounds on this number. c © 2001 Elsevier Science B.V. All rights reserved.
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عنوان ژورنال:
- Discrete Mathematics
دوره 234 شماره
صفحات -
تاریخ انتشار 2001