55 research outputs found
Historia del glorioso apostol Santiago, patron de España, de su venida a ella y de las grandezas de su Yglesia y Orden militar
Copia digital. Xunta de Galicia. Biblioteca Digital de Galicia : A Coruña, 2014ColofónSign.: ¶-2¶\p8\s, A-Z\p8\s, 2A-2Z\p8\s, 3A-3B\p8\sPort. con grab. xil., que representa al apóstol Santiag
On geodesic and monophonic convexity
In this paper we deal with two types of graph convexities, which are the most natural path convexities in a graph and which are defined by a system P of paths in a connected graph G: the geodesic convexity (also called metric
convexity) which arises when we consider shortest paths, and the monophonic convexity (also called minimal path convexity) when we consider chordless paths. First, we present a realization theorem proving, that there is no general relationship between monophonic and geodetic hull sets. Second, we study the contour of a graph, showing that the contour must be monophonic. Finally, we consider the so-called edge Steiner sets. We prove that every edge Steiner set is edge monophonic.Ministerio de Ciencia y TecnologíaFondo Europeo de Desarrollo RegionalGeneralitat de Cataluny
Extremal graph theory for metric dimension and diameter
A set of vertices S resolves a connected graph G if every vertex is uniquely
determined by its vector of distances to the vertices in S. The metric dimension of
G is the minimum cardinality of a resolving set of G. Let G ,D be the set of graphs
with metric dimension and diameter D. It is well-known that the minimum order
of a graph in G ,D is exactly + D. The first contribution of this paper is to
characterise the graphs in G ,D with order + D for all values of and D. Such
a characterisation was previously only known for D 6 2 or 6 1. The second
contribution is to determine the maximum order of a graph in G ,D for all values of
D and . Only a weak upper bound was previously known.Postprint (published version
On the Steiner, geodetic and hull numbers of graphs
Given a graph G and a subset W ? V (G), a Steiner W-tree is a tree of minimum
order that contains all of W. Let S(W) denote the set of all vertices in G that lie on
some Steiner W-tree; we call S(W) the Steiner interval of W. If S(W) = V (G), then
we call W a Steiner set of G. The minimum order of a Steiner set of G is called the
Steiner number of G.
Given two vertices u, v in G, a shortest u − v path in G is called a u − v geodesic.
Let I[u, v] denote the set of all vertices in G lying on some u − v geodesic, and let
J[u, v] denote the set of all vertices in G lying on some induced u − v path. Given a
set S ? V (G), let I[S] = ?u,v?S I[u, v], and let J[S] = ?u,v?S J[u, v]. We call I[S]
the geodetic closure of S and J[S] the monophonic closure of S. If I[S] = V (G), then
S is called a geodetic set of G. If J[S] = V (G), then S is called a monophonic set of
G. The minimum order of a geodetic set in G is named the geodetic number of G.
In this paper, we explore the relationships both between Steiner sets and geodetic
sets and between Steiner sets and monophonic sets. We thoroughly study the relationship
between the Steiner number and the geodetic number, and address the questions:
in a graph G when must every Steiner set also be geodetic and when must every Steiner
set also be monophonic. In particular, among others we show that every Steiner set
in a connected graph G must also be monophonic, and that every Steiner set in a
connected interval graph H must be geodetic
Extremal graph theory for metric dimension and diameter
Postprint (published version
Evaluation of appendicitis risk prediction models in adults with suspected appendicitis
Background
Appendicitis is the most common general surgical emergency worldwide, but its diagnosis remains challenging. The aim of this study was to determine whether existing risk prediction models can reliably identify patients presenting to hospital in the UK with acute right iliac fossa (RIF) pain who are at low risk of appendicitis.
Methods
A systematic search was completed to identify all existing appendicitis risk prediction models. Models were validated using UK data from an international prospective cohort study that captured consecutive patients aged 16–45 years presenting to hospital with acute RIF in March to June 2017. The main outcome was best achievable model specificity (proportion of patients who did not have appendicitis correctly classified as low risk) whilst maintaining a failure rate below 5 per cent (proportion of patients identified as low risk who actually had appendicitis).
Results
Some 5345 patients across 154 UK hospitals were identified, of which two‐thirds (3613 of 5345, 67·6 per cent) were women. Women were more than twice as likely to undergo surgery with removal of a histologically normal appendix (272 of 964, 28·2 per cent) than men (120 of 993, 12·1 per cent) (relative risk 2·33, 95 per cent c.i. 1·92 to 2·84; P < 0·001). Of 15 validated risk prediction models, the Adult Appendicitis Score performed best (cut‐off score 8 or less, specificity 63·1 per cent, failure rate 3·7 per cent). The Appendicitis Inflammatory Response Score performed best for men (cut‐off score 2 or less, specificity 24·7 per cent, failure rate 2·4 per cent).
Conclusion
Women in the UK had a disproportionate risk of admission without surgical intervention and had high rates of normal appendicectomy. Risk prediction models to support shared decision‐making by identifying adults in the UK at low risk of appendicitis were identified
Historia del glorioso Apóstol Santiago ...
365 p. ; 14 cmDatos tomados do Catálogo Bustamant
Descripcion del Reyno de Galizia
Representa embarcación da época e monstruos marinos. Uns anxos portan dous pentagramas e un escudoÓ verso: Texto en latín sobre Galicia, titulado "Gallaecia", con referencia ó pliego 20, con capital ornada, apostilas marxinais e reclamosReproducción electrónica. Santiago de Compostela : Biblioteca de Galicia, 2009Marxes graduadas. Puntos cardinais. Relevo por montes de perfil e sombreado. Cidades representadas segundo a súa importancia. HidrografíaEsta prancha usouse por primeira vez na edición de 160
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