Fleischner, H., G. Sabidussi and E. Wenger, Transforming eulerian trails, Discrete Mathematics 109 (1992) 103-116. In this paper a set of transformations (K-transformations) between eulerian trails is investigated. It is known that two arbitrary eulerian trails can be transformed into each other by a sequence of K-transformations. For compatible eulerran trails the set of K-transformations is a...

A theta graph is the union of three internally disjoint paths that have the same two distinct end vertices. We show that every graph of order n ≥ 12 and size at least ⌊ 11n−18 2 ⌋ contains three disjoint theta graphs. As a corollary, every graph of order n ≥ 12 and size at least ⌊ 11n−18 2 ⌋ contains three disjoint cycles of even length. 1. Terminology and introduction In this paper, we only co...

This paper is concerned with the numerical approximation of the expected value IE(g(Xt)), where g is a suitable test function and X is the solution of a stochastic differential equation driven by a Lévy process Y . More precisely we consider an Euler scheme or an “approximate” Euler scheme with stepsize 1/n, giving rise to a simulable variable Xn t , and we study the error δn(g) = IE(g(X n t ))...

In this lecture, we will introduce Markov chains and show a potential algorithmic use of Markov chains for sampling from complex distributions. For a finite state space Ω, we say a sequence of random variables (Xt) on Ω is a Markov chain if the sequence is Markovian in the following sense, for all t, all x0, . . . , xt, y ∈ Ω, we require Pr(Xt+1 = y|X0 = x0, X1 = x1, . . . , Xt = xt) = Pr(Xt+1 ...

En este trabajo se presenta el sistema deductivo para la lógica proposicional doble (LD) y los gráficos existenciales gamma-LD. Se prueba, de manera rigurosa, consistencia LD que teoremas corresponden, exactamente, con válidos Cuando restringe lenguaje al clásica (LC), restricción asociada a gamma-LD coincide del alfa Charles Sanders Peirce. Resulta intuicionista (LI) son LD; además, cuando LI,...

Human xylosyltransferase I (XT-I) initiates the biosynthesis of the glycosaminoglycan (GAG) linkage tetrasaccharide in proteoglycans. Xylosyltransferase II (XT-II) is a protein homologous to XT-I but with hitherto unknown activity or physiological function. Here, we report the enzymatic activity of XT-II and provide evidence that XT-II initiates the biosynthesis of both heparan sulfate and chon...

We show the following. Theorem. Let M be an finite-state ergodic time-reversible Markov chain with transition matrix P and conductanceφ. Let λ ∈ (0, 1) be an eigenvalue of P. Then, φ + λ 6 1 This strengthens the well-known [4, 3, 2, 1, 5] inequality λ 6 1− φ2/2. We obtain our result by a slight variation in the proof method in [5, 4]; the same method was used earlier in [6] to obtain the same i...

Forty-eight commercial hybrid gilts were used to investigate the response relationships between energy intake and deposition of protein and lipid in body components of finishing pigs (45 to 85 kg) as affected by previous nutrition. Two groups of 24 gilts received a single diet either at 2.2 (restricted pigs) or 3.7 (control pigs) times maintenance (M) from 20 to 45 kg. From 45 to 85 kg, pigs fr...