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.
@article{DM_2000_12_2_a7,
author = {V. E. Alekseev and S. V. Sorochan},
title = {On the entropy of hereditary classes of colored graphs},
journal = {Diskretnaya Matematika},
pages = {99--102},
publisher = {mathdoc},
volume = {12},
number = {2},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2000_12_2_a7/}
}
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/