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» Labeling planar graphs with a condition at distance two
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EJC
2007
13 years 4 months ago
Labeling planar graphs with a condition at distance two
Peter Bella, Daniel Král, Bojan Mohar, Kata...
DM
2006
122views more  DM 2006»
13 years 4 months ago
Labeling trees with a condition at distance two
An L(h, k)-labeling of a graph G is an integer labeling of vertices of G, such that adjacent vertices have labels which differ by at least h, and vertices at distance two have lab...
Tiziana Calamoneri, Andrzej Pelc, Rossella Petresc...
IPPS
2005
IEEE
13 years 10 months ago
Optimal Channel Assignments for Lattices with Conditions at Distance Two
The problem of radio channel assignments with multiple levels of interference can be modeled using graph theory. Given a graph G, possibly infinite, and real numbers k1, k2, . . ...
Jerrold R. Griggs, Xiaohua Teresa Jin
JCO
2007
113views more  JCO 2007»
13 years 4 months ago
Recent progress in mathematics and engineering on optimal graph labellings with distance conditions
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 c...
Jerrold R. Griggs, Xiaohua Teresa Jin
STACS
2007
Springer
13 years 11 months ago
Compact Forbidden-Set Routing
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
Bruno Courcelle, Andrew Twigg