Geodesic
On the entropy of hereditary classes of colored graphs
Diskretnaya Matematika, Tome 12 (2000) no. 2, pp. 99-102
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The results obtained earlier for hereditary classes of ordinary graphs are generalised to hereditary classes of coloured graphs. A coloured graph is a complete ordinary graph with coloured edges. We prove that the smallest positive value of the entropy of hereditary classes of $q$-coloured graphs is equal to $(1/2)\log_q2$ and characterise the minimal classes with such value of the entropy. The research was supported by the Russian Foundation for Basic Research, grant 98–01–00792. 
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V. E. Alekseev; S. V. Sorochan. On the entropy of hereditary classes of colored graphs. Diskretnaya Matematika, Tome 12 (2000) no. 2, pp. 99-102. http://geodesic.mathdoc.fr/item/DM_2000_12_2_a7/

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