Approximation algorithms
Constraint Propagation in Graph Coloring
Journal of Heuristics
Polynomial-Time Approximation Schemes for Geometric Intersection Graphs
SIAM Journal on Computing
Measure and conquer: a simple O(20.288n) independent set algorithm
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Topology control meets SINR: the scheduling complexity of arbitrary topologies
Proceedings of the 7th ACM international symposium on Mobile ad hoc networking and computing
Proceedings of the 12th annual international conference on Mobile computing and networking
On the complexity of scheduling in wireless networks
Proceedings of the 12th annual international conference on Mobile computing and networking
The scheduling and energy complexity of strong connectivity in ultra-wideband networks
Proceedings of the 9th ACM international symposium on Modeling analysis and simulation of wireless and mobile systems
Inclusion--Exclusion Algorithms for Counting Set Partitions
FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
An O*(2^n ) Algorithm for Graph Coloring and Other Partitioning Problems via Inclusion--Exclusion
FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
The worst-case capacity of wireless sensor networks
Proceedings of the 6th international conference on Information processing in sensor networks
Fourier meets möbius: fast subset convolution
Proceedings of the thirty-ninth annual ACM symposium on Theory of computing
Proceedings of the 8th ACM international symposium on Mobile ad hoc networking and computing
Cross-layer latency minimization in wireless networks with SINR constraints
Proceedings of the 8th ACM international symposium on Mobile ad hoc networking and computing
Proceedings of the 9th ACM international symposium on Mobile ad hoc networking and computing
Set Partitioning via Inclusion-Exclusion
SIAM Journal on Computing
Sensor networks continue to puzzle: selected open problems
ICDCN'08 Proceedings of the 9th international conference on Distributed computing and networking
The capacity of wireless networks
IEEE Transactions on Information Theory
Wireless Link Scheduling With Power Control and SINR Constraints
IEEE Transactions on Information Theory
Wireless Communication Is in APX
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
Set multi-covering via inclusion-exclusion
Theoretical Computer Science
Exact Algorithms for Set Multicover and Multiset Multicover Problems
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Dynamic programming based algorithms for set multicover and multiset multicover problems
Theoretical Computer Science
Efficiency of Wireless Networks: Approximation Algorithms for the Physical Interference Model
Foundations and Trends® in Networking
Energy efficient spatial TDMA scheduling in wireless networks
Computers and Operations Research
Scheduling links for heavy traffic on interfering routes in wireless mesh networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
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Given n arbitrarily distributed single-hop wireless links, using the physical interference model, the objective is to minimize the scheduling length. This is an open problem (Problem 1) proposed by Locher et al. [21]. In this paper, we solve this open problem at the cost of moderately exponential time. Specifically, this paper gives two classes of exact and approximate link scheduling algorithms, one based on the somewhat straightforward link independent set covering, and the other on counting the number of set covers. Let p(n) denote the time of checking whether the spectral radius of an irreducible non-negative matrix is smaller than 1 or not, then the time complexity for the set covering based exact algorithm is O(2C(n,n/2)), whereas the proposed counting based exact scheduling algorithm called ESA_MLSAT needs only time O(3n*n*(logn)2*p(n)) with polynomial space. If exponential space is allowed, the time complexity can be further reduced to O(2n*n*(logn)2*p(n)). The time complexity for the set covering based approximate algorithm is O(C(n,n/2)*logn*p(n)) with approximation ratio O(logn). The time complexity of the first counting based approximation algorithm is O(n2*polylog(n)) with approximation ratio O(n/logn), the time complexity of the second counting based approximation algorithm is O(n(1+log3*(logn)(k-1))*polylog(n)) with approximation ratio O(n/(logn)k), and the time complexity of the third counting based approximate algorithm is O((C(n,n/2)+3(e(-epsilon)*n)*n*logn)*logn*p(n)) with approximation ratio ceiling function of (1+epsilon). All these approximation algorithms use polynomial space.