Intersection graphs of paths in a tree
Journal of Combinatorial Theory Series B
Competitive routing in multiuser communication networks
IEEE/ACM Transactions on Networking (TON)
On the wavelength assignment problem in multifiber WDM star and ring networks
IEEE/ACM Transactions on Networking (TON)
Routing and path multicoloring
Information Processing Letters
Wavelength Assignment Problem on All-Optical Networks with k Fibres per Link
ICALP '00 Proceedings of the 27th International Colloquium on Automata, Languages and Programming
On trading wavelengths with fibers: a cost-performance based study
IEEE/ACM Transactions on Networking (TON)
The price of anarchy of finite congestion games
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Routing and wavelength assignment in multifiber WDM networks with non-uniform fiber cost
Computer Networks: The International Journal of Computer and Telecommunications Networking
Convergence to approximate Nash equilibria in congestion games
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
On the impact of combinatorial structure on congestion games
Journal of the ACM (JACM)
Complexity of wavelength assignment in optical network optimization
IEEE/ACM Transactions on Networking (TON)
Atomic routing games on maximum congestion
Theoretical Computer Science
The Price of Stability for Network Design with Fair Cost Allocation
SIAM Journal on Computing
A survey on networking games in telecommunications
Computers and Operations Research
Minimizing maximum fiber requirement in optical networks
Journal of Computer and System Sciences
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
Selfish routing and path coloring in all-optical networks
CAAN'07 Proceedings of the 4th conference on Combinatorial and algorithmic aspects of networking
Computing pure Nash and strong equilibria in bottleneck congestion games
ESA'10 Proceedings of the 18th annual European conference on Algorithms: Part II
On the price of anarchy and stability of correlated equilibria of linear congestion games,,
ESA'05 Proceedings of the 13th annual European conference on Algorithms
On nash equilibria in non-cooperative all-optical networks
STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
Computer Science Review
Bottleneck Routing Games in Communication Networks
IEEE Journal on Selected Areas in Communications
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We propose and investigate SELFISH PATH MULTICOLORING games as a natural model for noncooperative wavelength assignment in multifiber optical networks. In this setting, we view the wavelength assignment process as a strategic game in which each communication request selfishly chooses a wavelength in an effort to minimize the maximum congestion that it encounters on the chosen wavelength. We measure the cost of a certain wavelength assignment as the maximum, among all physical links, number of parallel fibers employed by this assignment. We start by settling questions related to the existence and computation of and convergence to pure Nash equilibria in these games. Our main contribution is a thorough analysis of the price of anarchy of such games, that is, the worst-case ratio between the cost of a Nash equilibrium and the optimal cost. We first provide upper bounds on the price of anarchy for games defined on general network topologies. Along the way, we obtain an upper bound of 2 for games defined on star networks. We next show that our bounds are tight even in the case of tree networks of maximum degree 3, leading to nonconstant price of anarchy for such topologies. In contrast, for network topologies of maximum degree 2, the quality of the solutions obtained by selfish wavelength assignment is much more satisfactory: We prove that the price of anarchy is bounded by 4 for a large class of practically interesting games defined on ring networks.