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DM
2002
101views more  DM 2002»
15 years 6 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
MLQ
2000
99views more  MLQ 2000»
15 years 6 months ago
The Essentially Equational Theory of Horn Classes
It is well known that the model categories of universal Horn theories are locally presentable, hence essentially algebraic [2]. In the special case of quasivarieties a direct tran...
Hans-E. Porst
ORDER
2000
85views more  ORDER 2000»
15 years 6 months ago
Epimorphisms in Certain Varieties of Algebras
We prove a lemma which, under restrictive conditions, shows that epimorphisms in V are surjective if this is true for epimorphisms from irreducible members of V . This lemma is app...
Gunter Bruns, John Harding
SIAMAM
2000
132views more  SIAMAM 2000»
15 years 6 months ago
An Envelope Method for Analyzing Sequential Pattern Formation
We examine sequential spatial pattern formation in a tissue interaction model for skin organ morphogenesis. Pattern formation occurs as a front sweeps across the domain leaving in ...
Gerhard C. Cruywagen, James D. Murray, Philip K. M...
SIAMCO
2000
117views more  SIAMCO 2000»
15 years 6 months ago
The O.D.E. Method for Convergence of Stochastic Approximation and Reinforcement Learning
It is shown here that stability of the stochastic approximation algorithm is implied by the asymptotic stability of the origin for an associated ODE. This in turn implies convergen...
Vivek S. Borkar, Sean P. Meyn