【摘 要】
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In the channel assignment problem, we need to assign frequency bonds to transmitters, if two transmitters are too close, interference will occur if they attempt
【机 构】
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DepartmentofMathematics,NantongUniversity,Nantong210007,P.R.China
论文部分内容阅读
In the channel assignment problem, we need to assign frequency bonds to transmitters, if two transmitters are too close, interference will occur if they attempt to transmit on close frequencies.In order to avoid this situation, the separation of the channels assigned to them must be sufficient.Moreover, if two transmitters are close but not too close, the channels assigned must be different.This problem is known as distance two labeling of a graph.For a positive integer d, an L(d, 1)-labeling of a graph G is an assignment of nonnegative integers to V(G) such that the difference between labels of adjacent vertices is at least d, and the difference between labels of vertices that are distance two apart is at least 1.The span of an L(d, 1)-labeling of a graph G is the difference between the maximum and minimum integers used by it.The L(d, 1)-labelings-number of G is the minimum span over all L(d, 1)-labelings of G.
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