The hat guessing number of graphs
نویسندگان
چکیده
منابع مشابه
The Three Colour Hat Guessing Game on Cycle Graphs
We study a cooperative game in which each member of a team of N players, wearing coloured hats and situated at the vertices of the cycle graph CN , is guessing their own hat colour merely on the basis of observing the hats worn by their two neighbours without exchanging the information. Each hat can have one of three colours. A predetermined guessing strategy is winning if it guarantees at leas...
متن کاملThe Guessing Number of Undirected Graphs
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 grap...
متن کاملThe linear guessing number of undirected graphs
Article history: Received 15 January 2013 Accepted 5 February 2014 Available online xxxx Submitted by R. Brualdi MSC: 05C72 05C57 68R10 94A99
متن کاملHat Guessing Games
Hat problems have become a popular topic in recreational mathematics. In a typical hat problem, each of n players tries to guess the color of the hat they are wearing by looking at the colors of the hats worn by some of the other players. In this paper we consider several variants of the problem, united by the common theme that the guessing strategies are required to be deterministic and the ob...
متن کاملWinkler's Hat Guessing Game: Better Results for Imbalanced Hat Distributions
In this note, we give an explicit polynomial-time executable strategy for Peter Winkler’s hat guessing game that gives superior results if the distribution of hats is imbalanced. While Winkler’s strategy guarantees in any case that ⌊n/2⌋ of the n player guess their hat color correct, our strategy ensures that the players produce max{r, b} − 1.2n2/3 − 2 correct guesses for any distribution of r ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2020
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2020.01.003