The MST of symmetric disk graphs is light
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The MST of Symmetric Disk Graphs Is Light
Symmetric disk graphs are often used to model wireless communication networks. Given a set S of n points in R (representing n transceivers) and a transmission range assignment r : S → R, the symmetric disk graph of S (denoted SDG(S)) is the undirected graph over S whose set of edges is E = {(u, v) | r(u) ≥ |uv| and r(v) ≥ |uv|}, where |uv| denotes the Euclidean distance between points u and v. ...
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Consider an n-point metric space M = (V, δ), and a transmission range assignment r : V → R+ that maps each point v ∈ V to the disk of radius r(v) around it. The symmetric disk graph (henceforth, SDG) that corresponds to M and r is the undirected graph over V whose edge set includes an edge (u, v) if both r(u) and r(v) are no smaller than δ(u, v). SDGs are often used to model wireless communicat...
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Consider an n-point metric M = (V, δ), and a transmission range assignment r : V → R+ that maps each point v ∈ V to the disk of radius r(v) around it. The symmetric disk graph (henceforth, SDG) that corresponds to M and r is the undirected graph over V whose edge set includes an edge (u, v) if both r(u) and r(v) are no smaller than δ(u, v). SDGs are often used to model wireless communication ne...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2012
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2011.08.002