Real Number Graph Labellings with Distance Conditions
نویسندگان
چکیده
منابع مشابه
Real Number Graph Labellings with Distance Conditions
The theory of integer λ-labellings of a graph, introduced by Griggs and Yeh, seeks to model efficient channel assignments for a network of transmitters. To prevent interference, labels for nearby vertices must be separated by specified amounts ki depending on the distance i, 1 ≤ i ≤ p. Here we expand the model to allow real number labels and separations. The main finding (“D-set Theorem”) is th...
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The problem of radio channel assignments with multiple levels of interference can be modelled using graph theory. The theory of integer vertex-labellings of graphs with distance conditions has been investigated for several years now, and the authors recently introduced a new model of real number labellings that is giving deeper insight into the problems. Here we present an overview of the recen...
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ژورنال
عنوان ژورنال: SIAM Journal on Discrete Mathematics
سال: 2006
ISSN: 0895-4801,1095-7146
DOI: 10.1137/s0895480105446708