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- W2400809918 abstract "In the strongly connected spanning subgraph (SCSS) problem, the goal is to nd a minimum weight spanning subgraph of a strongly connected directed graph that maintains the strong connectivity. In this paper, we consider the SCSS problem for two families of geometric directed graphs; t-spanners and symmetric disk graphs. Given a constant t 1, a directed graph G is a t-spanner of a set of points V if, for every two points u and v in V , there exists a directed path from u to v in G of length at most tj uvj, wherejuvj is the Euclidean distance between u and v. Given a set V of points in the plane such that each point u2 V has a radius ru, the symmetric disk graph of V is a directed graph G = (V;E), such thatE =f(u;v) :juvj ru andjuvj rvg. Thus, if there exists a directed edge (u;v), then (v;u) exists as well. We present 3 (t + 1) and 3 approximation algorithms for the SCSS problem for t-spanners and for symmetric disk graphs, respectively. Actually, our approach achieves a 3 (t + 1)-approximation algorithm for all directed graphs satisfying the property that, for every two nodes u and v, the ratio between the shortest paths, from u to v and from v to u in the graph, is at most t." @default.
- W2400809918 created "2016-06-24" @default.
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- W2400809918 date "2015-01-01" @default.
- W2400809918 modified "2023-09-25" @default.
- W2400809918 title "Strongly Connected Spanning Subgraph for Almost Symmetric Networks" @default.
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