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On three-rowed chomp.

Brouwer, Andries E., Horváth, Gábor, Molnár-Sáska, Ildikó, Szabó, Csaba (2005)

Integers

On useful schema in survival analysis after heart attack

Czesław Stępniak (2014)

Discussiones Mathematicae Probability and Statistics

Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers

On vertex stability with regard to complete bipartite subgraphs

Aneta Dudek, Andrzej Żak (2010)

Discussiones Mathematicae Graph Theory

A graph G is called (H;k)-vertex stable if G contains a subgraph isomorphic to H ever after removing any of its k vertices. Q(H;k) denotes the minimum size among the sizes of all (H;k)-vertex stable graphs. In this paper we complete the characterization of ( K m , n ; 1 ) -vertex stable graphs with minimum size. Namely, we prove that for m ≥ 2 and n ≥ m+2, Q ( K m , n ; 1 ) = m n + m + n and K m , n * K as well as K m + 1 , n + 1 - e are the only ( K m , n ; 1 ) -vertex stable graphs with minimum size, confirming the conjecture of Dudek and Zwonek.

On weighted densities

Rita Giuliano-Antonini, Georges Grekos, Ladislav Mišík (2007)

Czechoslovak Mathematical Journal

The continuity of densities given by the weight functions n α , α [ - 1 , [ , with respect to the parameter α is investigated.

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