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PTAS for minimum weighted connected vertex cover problem with c-local condition in unit disk graphs

Author

Listed:
  • Lidan Fan

    (Xi’an Jiaotong University)

  • Zhao Zhang

    (Xinjiang University)

  • Wei Wang

    (Xi’an Jiaotong University)

Abstract

Given a graph G=(V,E) with node weight w:V→R +, the minimum weighted connected vertex cover problem (MWCVC) is to seek a subset of vertices of the graph with minimum total weight, such that for any edge of the graph, at least one endpoint of the edge is contained in the subset, and the subgraph induced by this subset is connected. In this paper, we study the problem on unit disk graph. A polynomial-time approximation scheme (PTAS) for MWCVC is presented under the condition that the graph is c-local.

Suggested Citation

  • Lidan Fan & Zhao Zhang & Wei Wang, 2011. "PTAS for minimum weighted connected vertex cover problem with c-local condition in unit disk graphs," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 663-673, November.
    • Handle: RePEc:spr:jcomop:v:22:y:2011:i:4:d:10.1007_s10878-010-9315-9
    DOI: 10.1007/s10878-010-9315-9
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    References listed on IDEAS

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    1. Feng Zou & Xianyue Li & Suogang Gao & Weili Wu, 2009. "Node-weighted Steiner tree approximation in unit disk graphs," Journal of Combinatorial Optimization, Springer, vol. 18(4), pages 342-349, November.
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    Cited by:

    1. Limin Wang & Wenxue Du & Zhao Zhang & Xiaoyan Zhang, 2017. "A PTAS for minimum weighted connected vertex cover $$P_3$$ P 3 problem in 3-dimensional wireless sensor networks," Journal of Combinatorial Optimization, Springer, vol. 33(1), pages 106-122, January.

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