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SIAMDM
2010
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13 years 3 months ago
Edge-Injective and Edge-Surjective Vertex Labellings
For a graph G = (V, E) we consider vertex-k-labellings f : V → {1, 2, . . . , k} for which the induced edge weighting w : E → {2, 3, . . . , 2k} with w(uv) = f(u) + f(v) is inj...
Stephan Brandt, Jozef Miskuf, Dieter Rautenbach, F...
JCT
2006
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13 years 4 months ago
Constructions of generalized Sidon sets
We give explicit constructions of sets S with the property that for each integer k, there are at most g solutions to k = s1 + s2, si S; such sets are called Sidon sets if g = 2 a...
Greg Martin, Kevin O'Bryant