A note on the pure Morse complex of a graph

AbstractThe goal of this work is to study the structure of the pure Morse complex of a graph, that is, the simplicial complex given by the set of all possible classes of discrete Morse functions (in Forman's sense) defined on it. First, we characterize the pure Morse complex of a tree and prove that it is collapsible. In order to study the general case, we consider all the spanning trees included in a given graph G and we express the pure Morse complex of G as the union of all pure Morse complexes corresponding to such trees

Discrete Morse theory on graphs

AbstractWe characterize the topology of a graph in terms of the critical elements of a discrete Morse function defined on it. Besides, we study the structure and some properties of the gradient vector field induced by a discrete Morse function defined on a graph. Finally, we get results on the number of non-homologically equivalent excellent discrete Morse functions defined on some kind of graphs

The number of excellent discrete Morse functions on graphs

AbstractIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse functions defined on S2 was obtained in the differentiable setting. We carried out an analogous study in the discrete setting for some kinds of graphs, including S1, in Ayala et al. (2009) [1]. This paper completes this study, counting excellent discrete Morse functions defined on any infinite locally finite graph

Parámetros reproductivos en el ganado vacuno de raza retinta explotado en dehesa: edad al primer parto e intervalo entre partos

La mejora de los caracteres reproductivos es de vital importancia para maximizar esta rentabilidad de las explotaciones de vacuno de carne, especialmente en las razas explotadas en régimen extensivo, como es el caso de la raza Retinta. Dicho sistema supone condiciones adversas e incluso extremas para los animales, especialmente durante la fase de recría fase fundamental y a la que generalmente se presta escasa atención en estas explotaciones. El objetivo del presente trabaja fue, analizar la posible influencia de distintos factores, tanto ambientales como genéticos, sobre la edad al primer parto (EPP) y el intervalo entre partos (IPP). Para ello hemos contando con los registros reproductivos correspondientes al Núcleo de Control de Rendimientos de la Raza Retinta. Estos incluían 2.786 primeros partos y 11.197 intervalos entre partos, correspondientes a 3. 112 vacas. Según nuestros resultados la edad al primer parto del ganado vacuno de raza Retinta se ve afectada por los factores ganadería de nacimiento, campaña y época de nacimiento, y la interacción de los tres. Dentro de estos factores, el factor ganadería absorbió del 52 al 66% de la variabilidad de la edad al primer parto. Otro factor que resulto significativo fue el tipo de alimentación que recibe la ternera durante el periodo predestete. Así mismo nuestros resultados muestras que dentro del rango de EPP estudiadas, no existe influencia sobre las condiciones de crecimiento del ternero de ese primer parto ni de los posteriores, incluso las novillas que paren a edad temprana (dentro de unos límites fisiológicos), produjeron más terneros y más pesados durante su vida. En cuanto al periodo medio entre partos encontramos una fuerte relación con la ganadería, y con el efecto campaña ganadera, correspondiendo los intervalos más largos a aquellos años en los que aparece un notable período de sequía. Independientemente a este factor, se aprecia una evidente disminución del IPP en la última década. El valor medio obtenido está fuertemente influenciado por el sistema de cubrición seguido (paridera restringida o continua). Según nuestros resultados las ganaderías con temporada de cubrición continua presentan menores intervalos, aunque con bajas diferencias, lo cual puede ser refleja de un manejo reproductivo menos optimizado que las de paridera estacional

Risk profiles and one-year outcomes of patients with newly diagnosed atrial fibrillation in India: Insights from the GARFIELD-AF Registry.

BACKGROUND: The Global Anticoagulant Registry in the FIELD-Atrial Fibrillation (GARFIELD-AF) is an ongoing prospective noninterventional registry, which is providing important information on the baseline characteristics, treatment patterns, and 1-year outcomes in patients with newly diagnosed non-valvular atrial fibrillation (NVAF). This report describes data from Indian patients recruited in this registry. METHODS AND RESULTS: A total of 52,014 patients with newly diagnosed AF were enrolled globally; of these, 1388 patients were recruited from 26 sites within India (2012-2016). In India, the mean age was 65.8 years at diagnosis of NVAF. Hypertension was the most prevalent risk factor for AF, present in 68.5% of patients from India and in 76.3% of patients globally (P < 0.001). Diabetes and coronary artery disease (CAD) were prevalent in 36.2% and 28.1% of patients as compared with global prevalence of 22.2% and 21.6%, respectively (P < 0.001 for both). Antiplatelet therapy was the most common antithrombotic treatment in India. With increasing stroke risk, however, patients were more likely to receive oral anticoagulant therapy [mainly vitamin K antagonist (VKA)], but average international normalized ratio (INR) was lower among Indian patients [median INR value 1.6 (interquartile range {IQR}: 1.3-2.3) versus 2.3 (IQR 1.8-2.8) (P < 0.001)]. Compared with other countries, patients from India had markedly higher rates of all-cause mortality [7.68 per 100 person-years (95% confidence interval 6.32-9.35) vs 4.34 (4.16-4.53), P < 0.0001], while rates of stroke/systemic embolism and major bleeding were lower after 1 year of follow-up. CONCLUSION: Compared to previously published registries from India, the GARFIELD-AF registry describes clinical profiles and outcomes in Indian patients with AF of a different etiology. The registry data show that compared to the rest of the world, Indian AF patients are younger in age and have more diabetes and CAD. Patients with a higher stroke risk are more likely to receive anticoagulation therapy with VKA but are underdosed compared with the global average in the GARFIELD-AF. CLINICAL TRIAL REGISTRATION-URL: http://www.clinicaltrials.gov. Unique identifier: NCT01090362

How to Deal with Terrestrial and Oceanic Information using SDI Technologies.

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