The guessing number of undirected graph
2011 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 18, no 1, P192- p.Article in journal (Refereed) Published
Riis [Electron. J. Combin., 14(1):R44, 2007] introduced a guessing game for graphs which is equivalent to finding protocols for network coding. In this paper we prove upper and lower bounds for the winning probability of the guessing game on undirected graphs. We find optimal bounds for perfect graphs and minimally imperfect graphs, and present a conjecture relating the exact value for all graphs to the fractional chromatic number.
Place, publisher, year, edition, pages
Atlanta, Ga.: N.J. Calkin and H.S. Wilf , 2011. Vol. 18, no 1, P192- p.
IdentifiersURN: urn:nbn:se:umu:diva-48464ISI: 000295227000003OAI: oai:DiVA.org:umu-48464DiVA: diva2:450955