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CORR
2006
Springer
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14 years 15 days ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky
FSTTCS
2003
Springer
14 years 5 months ago
Word Equations over Graph Products
For monoids that satisfy a weak cancellation condition, it is shown that the decidability of the existential theory of word equations is preserved under graph products. Furthermore...
Volker Diekert, Markus Lohrey