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Diskretnaya Matematika, 2000, Volume 12, Issue 2, Pages 99–102
DOI: https://doi.org/10.4213/dm327 (Mi dm327) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the entropy of hereditary classes of colored graphs

V. E. Alekseev, S. V. Sorochan
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DOI: https://doi.org/10.4213/dm327
Abstract: 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.
Received: 15.07.1999
Bibliographic databases:
UDC: 519.95
Language: Russian
Citation: V. E. Alekseev, S. V. Sorochan, “On the entropy of hereditary classes of colored graphs”, Diskr. Mat., 12:2 (2000), 99–102; Discrete Math. Appl., 10:3 (2000), 273–277
Citation in format AMSBIB
\Bibitem{AleSor00}
\by V.~E.~Alekseev, S.~V.~Sorochan
\paper On the entropy of hereditary classes of colored graphs
\jour Diskr. Mat.
\yr 2000
\vol 12
\issue 2
\pages 99--102
\mathnet{http://mi.mathnet.ru/dm327}
\crossref{https://doi.org/10.4213/dm327}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1783078}
\zmath{https://zbmath.org/?q=an:0965.05044}
\transl
\jour Discrete Math. Appl.
\yr 2000
\vol 10
\issue 3
\pages 273--277
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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