A better constant-factor approximation for weighted dominating set in unit disk graph

Yunmao Huang1, Xiaofeng Gao1, Zhao Zhang2, Weili Wu1
1Department of Computer Science, University of Texas at Dallas, Richardson, USA
2College of Mathematics and System Sciences, Xinjiang University, Urumqi, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Ambühl C, Erlebach T, Mihalák M, Nunkesser M (2006) Constant-factor approximation for minimum-weight (connected) dominating sets in unit disk graphs. In: Proceedings of the 9th international workshop on approximation algorithms for combinatorial optimization problems (APPROX 2006). LNCS, vol 4110. Springer, Berlin, pp 3–14

Baker BS (1994) Approximation algorithms for NP-complete problems on planar graphs. J Assoc Comput Mach 41(1):153–180

Bar-Yehuda R, Moran S (1984) On approximation problems related to the independent set and vertex cover problem. Discrete Appl Math 9:1–10

Clark BN, Colbourn CJ, Johnson DS (1990) Unit disk graphs. Discrete Math 86:165–177

Dai WF, Gao M, Stojmenovic I (2002) On calculating power-aware connected dominating sets for efficient routing in ad hoc wireless networks. J Commun Netw 4(1):59–70

Feige U (1996) A Threshold of lnn for approximating set cover. In: Proc. 28th ACM symposium on theory of computing. ACM, New York, pp 314–318

Garey MR, Johnson DS (1979) Computers and intractability. In: A guide to the theory of NP completeness. Freeman, New York

Guha S, Khuller S (1999) Improved methods for approximating node weighted Steiner trees and connected dominating sets. Inf Comput 150(1):57–74

Hochbaum DS, Maass W (1985) Approximation schemes for covering and packing problems in image processing and VLSI. J Assoc Comput Mach 32(1):130–136

Hunt HB III, Marathe MV, Radhakrishnan V, Ravi SS, Rosenkrantz DJ, Stearns RE (1998) NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs. J Algorithms 26(2):238–274

Lichtenstein D (1982) Planar formulae and their uses. SIAM J Comput 11(2):329–343

Marathe MV, Breu H, Hunt HB III, Ravi SS, Rosenkrantz DJ (1995) Simple heuristics for unit disk graphs. Networks 25:59–68

Vazirani VV (2001) Approximation algorithms. Springer, Berlin

Wang Y, Li XY (2005) Distributed low-cost backbone formation for wireless ad hoc networks. In: Proceedings of the 6th ACM international symposium on mobile ad hoc networking and computing (MobiHoc 2005), pp 2–13

Wu J, Li H (1999) On calculating connected dominating set for efficient routing in ad-hoc wireless networks. In: Proc. of the 3rd international workshop on discrete algorithms and methods for mobile computing and commun, pp 7–14