Polynomial time and parameterized approximation algorithms for boxicity

The boxicity (cubicity) of a graph G, denoted by box(G) (respectively cub(G)), is the minimum integer k such that G can be represented as the intersection graph of axis parallel boxes (cubes) in ℝ k . The problem of computing boxicity (cubicity) is known to be inapproximable in polynomial time even for graph classes like bipartite, co-bipartite and split graphs, within an O(n 0.5 − ε ) factor for any ε > 0, unless NP = ZPP. We prove that if a graph G on n vertices has a clique on n − k vertices, then box(G) can be computed in time n22O(k2logk) . Using this fact, various FPT approximation algorithms for boxicity are derived. The parameter used is the vertex (or edge) edit distance of the input graph from certain graph families of bounded boxicity - like interval graphs and planar graphs. Using the same fact, we also derive an O(nloglogn√logn√) factor approximation algorithm for computing boxicity, which, to our knowledge, is the first o(n) factor approximation algorithm for the problem. We also present an FPT approximation algorithm for computing the cubicity of graphs, with vertex cover number as the parameter.

On piercing (pseudo)lines and boxes

We say a family of geometric objects C has (l;k)-property if every subfamily C0C of cardinality at most lisk- piercable. In this paper we investigate the existence of g(k;d)such that if any family of objects C in Rd has the (g(k;d);k)-property, then C is k-piercable. Danzer and Gr̈ unbaum showed that g(k;d)is infinite for fami-lies of boxes and translates of centrally symmetric convex hexagons. In this paper we show that any family of pseudo-lines(lines) with (k2+k+ 1;k)-property is k-piercable and extend this result to certain families of objects with discrete intersections. This is the first positive result for arbitrary k for a general family of objects. We also pose a relaxed ver-sion of the above question and show that any family of boxes in Rd with (k2d;k)-property is 2dk- piercable.

Asymptotically-good, multigroup decodable space-time block codes

For a family of Space-Time Block Codes (STBCs) C-1, C-2,..., with increasing number of transmit antennas N-i, with rates R-i complex symbols per channel use, i = 1, 2,..., we introduce the notion of asymptotic normalized rate which we define as lim(i ->infinity) R-i/N-i, and we say that a family of STBCs is asymptotically-good if its asymptotic normalized rate is non-zero, i. e., when the rate scales as a non-zero fraction of the number of transmit antennas. An STBC C is said to be g-group decodable, g >= 2, if the information symbols encoded by it can be partitioned into g groups, such that each group of symbols can be ML decoded independently of the others. In this paper we construct full-diversity g-group decodable codes with rates greater than one complex symbol per channel use for all g >= 2. Specifically, we construct delay-optimal, g-group decodable codes for number of transmit antennas N-t that are a multiple of g2left perpendicular(g-1/2)right perpendicular with rate N-t/g2(g-1) + g(2)-g/2N(t). Using these new codes as building blocks, we then construct non-delay-optimal g-group decodable codes with rate roughly g times that of the delay-optimal codes, for number of antennas N-t that are a multiple of 2left perpendicular(g-1/2)right perpendicular, with delay gN(t) and rate Nt/2(g-1) + g-1/2N(t). For each g >= 2, the new delay-optimal and non-delay- optimal families of STBCs are both asymptotically-good, with the latter family having the largest asymptotic normalized rates among all known families of multigroup decodable codes with delay T <= gN(t). Also, for g >= 3, these are the first instances of g-group decodable codes with rates greater than 1 reported in the literature.

NrichD database: sequence databases enriched with computationally designed protein-like sequences aid in remote homology detection

NrichD ( ext-link-type=''uri'' xlink:href=''http://proline.biochem.iisc.ernet.in/NRICHD/'' xlink:type=''simple''>http://proline.biochem.iisc.ernet.in/NRICHD/)< /named-content> is a database of computationally designed protein-like sequences, augmented into natural sequence databases that can perform hops in protein sequence space to assist in the detection of remote relationships. Establishing protein relationships in the absence of structural evidence or natural `intermediately related sequences' is a challenging task. Recently, we have demonstrated that the computational design of artificial intermediary sequences/linkers is an effective approach to fill naturally occurring voids in protein sequence space. Through a large-scale assessment we have demonstrated that such sequences can be plugged into commonly employed search databases to improve the performance of routinely used sequence search methods in detecting remote relationships. Since it is anticipated that such data sets will be employed to establish protein relationships, two databases that have already captured these relationships at the structural and functional domain level, namely, the SCOP database and the Pfam database, have been `enriched' with these artificial intermediary sequences. NrichD database currently contains 3 611 010 artificial sequences that have been generated between 27 882 pairs of families from 374 SCOP folds. The data sets are freely available for download. Additional features include the design of artificial sequences between any two protein families of interest to the user.

A model supersonic buried-nozzle jet: instability and acoustic wave scattering and the far-field sound

We consider sound source mechanisms involving the acoustic and instability modes of dual-stream isothermal supersonic jets with the inner nozzle buried within an outer shroud-like nozzle. A particular focus is scattering into radiating sound waves at the shroud lip. For such jets, several families of acoustically coupled instability waves exist, beyond the regular vortical Kelvin-Helmholtz mode, with different shapes and propagation characteristics, which can therefore affect the character of the radiated sound. In our model, the coaxial shear layers are vortex sheets while the incident acoustic disturbances are the propagating shroud modes. The Wiener-Hopf method is used to compute their scattering at the sharp shroud edge to obtain the far-field radiation. The resulting far-field directivity quantifies the acoustic efficiency of different mechanisms, which is particularly important in the upstream direction, where the results show that the scattered sound is more intense than that radiated directly by the shear-layer modes.

La heráldica, el retrato y el fin de la Edad Media : un acercamiento antropológico a la iconografía

Resumen: Durante la Edad Media hizo su aparición la heráldica como forma de identificar ciertos aspectos de las personas, ya sea por su condición social o por su actividad específica. El uso de blasones y escudos de armas desde el siglo XI generó una importante cantidad de signos, colores y símbolos que edificaron todo un “patrón de lectura” del “rostro social” de la persona que portaba tal insignia, sin importar o no la veracidad de su rostro al confeccionarse un retrato pintado o esculpido. Paralelo a esto, la retratística que hubo durante todo el período medieval de personas reales, sagradas o ideales avanzó hacia un progresivo naturalismo que finalizó en el siglo XV con la reproducción del retratado tal cual era su fisonomía y abandonando el canon estereotipado que durante los siglos precedentes habían proliferado. Finalmente, con el creciente Humanismo, la aparición de la perspectiva y el progresivo abandono de la identificación de determinado personaje con sólo su escudo de armas, sirvió para que el retratado mirase a los ojos del observador y “dialogase”, develando aspectos espirituales antes ocultos. El objetivo de este trabajo es acercarse con una visión antropológica a la cuestión del retrato tardomedieval y renacentista en conjunción con los cambios operados en la heráldica y la iconografía, comprobando que la mirada tiene marcada intencionalidad, los rostros se frontalizan progresivamente y la heráldica pierde el espesor que tuvo en siglos precedentes

Monarquía, matrimonio, sucesión y legitimación del poder (siglos V-VII)

Resumen: En el contexto de la Antigüedad Tardía, intentamos dilucidar el papel de las mujeres en la legitimación real durante el período arriano español. En el camino, repasaremos el problema de la sucesión y la alternancia dinástica. Finalmente, proponemos la refl exión acerca de qué tipo de alianzas matrimoniales anudaron a las dinastías franca y visigoda debido a fl exibilidad de los contratos matrimoniales y sus consecuencias.

Isabel II y la fotografía : imágenes de una vida

Resumen: La adquisición de nuevos retratos de la reina Isabel II ha propiciado la revisión y puesta al día de un sugestivo corpus fotográfi co enormemente ilustrativo de la diversidad de recursos que la fotografía decimonónica ofrecía, así como de los cambios que afectaron al tema de la representación regia.

La visión de la autoridad regia desde la perspectiva de la nobleza rebelde en el Libro del conde Lucanor de don Juan Manuel y Mocedades de Rodrigo

Resumen: El trabajo propone una lectura del ejemplo XXXIIII del Libro del conde Lucanor (“De lo que conteçió a un falcón sacre del infante don Manuel con un águila et con una garça”) que atiende a cómo don Juan Manuel evalúa y discute la figura de autoridad real. Sin embargo, su relación con el rey se entiende como la síntesis de los conflictos entre proyecto nobiliario y proyecto regio, y es enfocada desde la perspectiva ideológica de los grandes señores de Castilla. Al mismo tiempo se intentará una lectura comparada con Mocedades de Rodrigo que trata la misma problemática con similar perspectiva ideológica, pero con una resolución diferente del conflicto

Corona y poderes urbanos en la Cornisa Cantábrica, siglos XVI y XVII

[ES]La formación de oligarquías municipales es un fenómeno que, arrancando de la Baja Edad Media, va alcanzando madurez durante la época de los Austrias. En ese tiempo fue posible hacer compatible el crecimiento del poder real con el mantenimiento del poder de las oligarquías en su territorio. En el presente trabajo se analizan el desarrollo y las peculiaridades de este proceso en las principales villas de la Cornisa Cantábrica.

Ichthyoplankton Adjacent to Live-Bottom Habitats in Onslow Bay, North Carolina

The abundance and distribution of ichthyoplankton adjacent to live-bottom habitats (rock outcroppings containing rich, sessile invertebrate communities and many species of tropical and subtropical fishes) in open-shelf waters « 55-m isobath) in Onslow Bay, North Carolina, were investigated. Larvae of reef-associated genera, especially the economically important subtropical and tropical members of the families Haemulidae (Haemulon), Lutjanidae (Lutjanus and Rltomboplites), Serranidae (Mycteroperca and Epinephelus), and Sparidae (Calamus and Pagrus) were targeted. Larvae representing 40 families were collected in neuston tows. Commonly collected reef-associated families were Balistidae, Blenniidae (dominated by the reef-associated Parablennius marmoreus) , Mullidae, and Gobiidae. Larvae representing 70 families were collected in subsurface tows. Reef-associated families commonly collected included Apogonidae, Balistidae, Gobiidae, Haemulidae, LutJanidae, Scaridae, and Serranidae. Larval Haemulon sp (p)., Lutjanus sp(p)., and Rltomboplites aurorubens were commonly collected and thus it is likely that these taxa spawn in Onslow Bay and recruit to live-bottom sites within the area. Other families of fishes commonly collected but generally not considered reef-associated included Bothidae, Callionymidae, Carangidae, Clupeidae, Engraulidae, and Ophidiidae. Estuarine-dependent species (e.g. the clupeid Brevoortia tyrannus and the sciaenids Leiostomus xanthurus and Micropogonias undulatus) were an important component of the ichthyoplankton during late fall and winter. The frequent occurrence of larvae from oceanic species (e.g. gonostomatids and myctophids) indicated that Gulf Stream waters had intruded onto the shelf, transporting these larvae to open-shelf waters off North Carolina.(PDF file containes 36 pages.)

Latín, nacionalismo y arte alusiva en la historiografía de Antonio de Nebrija

"The Role of Latin in the Early Modern World: Linguistic identity and nationalism 1350-1800". Contributions from the conference held at the Universitat Autònoma de Barcelona, Casa Convalescència, 5-6 May 2010. Edited by Alejandro Coroleu, Carlo Caruso & Andrew Laird