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Weighted vertex packing problem for specially structured geometric graphs

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  • Gang Yu
  • Panagiotis Kouvelis
  • Songjun Luo

Abstract

Consider a set of vertices V = {1, 2,…, n} placed on a two‐dimensional Euclidean plane R2 with each vertex attached a nonnegative weight w: V → R +|V|. For a given constant d>0, the geometric graph G = (V, E) is defined to have edge set E = {(i, j): dij ⩽ d} with dij being the Euclidean distance between vertices i and j. The geometric vertex packing (GVP) problem, which is often called the independent set problem, is defined as selecting the set of pairwise nonadjacent vertices with maximum total weight. We limit our attention to the special case that no vertex is within a distance βd of any other vertices where 0 ⩽ β

Suggested Citation

  • Gang Yu & Panagiotis Kouvelis & Songjun Luo, 1995. "Weighted vertex packing problem for specially structured geometric graphs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(1), pages 81-102, February.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:1:p:81-102
    DOI: 10.1002/1520-6750(199502)42:13.0.CO;2-X
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    References listed on IDEAS

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