Distributed Nodes Organization Algorithm for Channel Access in a Multihop Dynamic Radio Network
IEEE Transactions on Computers
Labelling graphs with a condition at distance 2
SIAM Journal on Discrete Mathematics
Labeling Chordal Graphs: Distance Two Condition
SIAM Journal on Discrete Mathematics
Code assignment for hidden terminal interference avoidance in multihop packet radio networks
IEEE/ACM Transactions on Networking (TON)
The $L(2,1)$-Labeling Problem on Graphs
SIAM Journal on Discrete Mathematics
Assigning codes in wireless networks: bounds and scaling properties
Wireless Networks
Channel assignment schemes for cellular mobile telecommunication systems: A comprehensive survey
IEEE Communications Surveys & Tutorials
Channel assignment and graph labeling
Handbook of wireless networks and mobile computing
IWDC '02 Proceedings of the 4th International Workshop on Distributed Computing, Mobile and Wireless Computing
Channel Assignment for Wireless Networks Modelled as d-Dimensional Square Grids
IWDC '02 Proceedings of the 4th International Workshop on Distributed Computing, Mobile and Wireless Computing
Channel Assignment with Separation for Interference Avoidance in Wireless Networks
IEEE Transactions on Parallel and Distributed Systems
L(h,1)-labeling subclasses of planar graphs
Journal of Parallel and Distributed Computing
A characterisation of optimal channel assignments for cellular and square grid wireless networks
Mobile Networks and Applications
IWDC'04 Proceedings of the 6th international conference on Distributed Computing
L(2,1)-labeling of dually chordal graphs and strongly orderable graphs
Information Processing Letters
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This paper investigates the problem of assigning channels to the stations of a wireless network so that interfering transmitters are assigned channels with a given separation and the number of channels used is minimized. Two versions of the channel assignment problem are considered which are equivalent to two specific coloring problems — called L(2, 1) and L (2, 1, 1) — of the graph representing the network topology. In these problems, channels assigned to adjacent vertices must be at least 2 apart, while the same channel can be reused only at vertices whose distance is at least 3 or 4, respectively. Efficient channel assignment algorithms using the minimum number of channels are provided for specific, but realistic, network topologies, including buses, rings, hexagonal grids, bidimensional grids, cellular grids, and complete binary trees.