Online computation and competitive analysis
Online computation and competitive analysis
Distributed online frequency assignment in cellular networks
Journal of Algorithms
Channel assignment and graph multicoloring
Handbook of wireless networks and mobile computing
Worst-case analysis of a dynamic channel assignment strategy
Discrete Applied Mathematics
2-local 4/3-competitive algorithm for multicoloring hexagonal graphs
Journal of Algorithms
Greedy online frequency allocation in cellular networks
Information Processing Letters
Online OVSF Code Assignment with Resource Augmentation
AAIM '07 Proceedings of the 3rd international conference on Algorithmic Aspects in Information and Management
Frequency allocation problems for linear cellular networks
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Channel assignment schemes for cellular mobile telecommunication systems: A comprehensive survey
IEEE Communications Surveys & Tutorials
Online OVSF Code Assignment with Resource Augmentation
AAIM '07 Proceedings of the 3rd international conference on Algorithmic Aspects in Information and Management
Three Results on Frequency Assignment in Linear Cellular Networks
AAIM '09 Proceedings of the 5th International Conference on Algorithmic Aspects in Information and Management
SIGACT news online algorithms column 14
ACM SIGACT News
Three results on frequency assignment in linear cellular networks
Theoretical Computer Science
Deterministic on-line call control in cellular networks
Theoretical Computer Science
Deterministic online call control in cellular networks and triangle-free cellular networks
FAW'10 Proceedings of the 4th international conference on Frontiers in algorithmics
Better bounds for incremental frequency allocation in bipartite graphs
ESA'11 Proceedings of the 19th European conference on Algorithms
Online call control in cellular networks revisited
Information Processing Letters
A 1-local 13/9-competitive algorithm for multicoloring hexagonal graphs
COCOON'07 Proceedings of the 13th annual international conference on Computing and Combinatorics
Better bounds for incremental frequency allocation in bipartite graphs
Theoretical Computer Science
Constant-competitive tree node assignment
Theoretical Computer Science
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Given a mobile telephone network, whose geographical coverage area is divided into cells, phone calls are serviced by assigning frequencies to them, so that no two calls emanating from the same or neighboring cells are assigned the same frequency. Assuming an online arrival of calls and the calls will not terminate, the problem is to minimize the span of frequencies used. By first considering χ-colorable networks, which is a generalization of (the 3-colorable) cellular networks, we present a (χ+1)/2-competitive online algorithm. This algorithm, when applied to cellular networks, is effectively a positive solution to the open problem posed in [8]: Does a 2-competitive online algorithm exist for frequency allocation in cellular networks? We further prove a lower bound which shows that our 2-competitive algorithm is optimal. We discover that an interesting phenomenon occurs for the online frequency allocation problem when the number of calls considered becomes large: previously-derived optimal (lower and upper) bounds on competitive ratios no longer hold true. For cellular networks, we show new asymptotic lower and upper bounds of 1.5 and 1.9126, respectively, which breaks through the optimal bound of 2 shown previously.