Exact colorations of graphs and digraphs

A coloration is an exact regular coloration if whenever two vertices are colored the same they have identically colored neighborhoods. For example, if one of the two vertices that are colored the same is connected to three yellow vertices, two white and red, then the other vertex is as well. Exact regular colorations have been discussed informally in the social network literature. However they have been part of the mathematical literature for some time, though in a different format. We explore this concept in terms of social networks and illustrate some important results taken from the mathematical literature. In addition we show how the concept can be extended to ecological and perfect colorations, and discuss how the CATREGE algorithm can be extended to find the maximal exact regular coloration of a graph.

A distributed algorithm for European options with nonlinear volatility

A distributed algorithm is developed to solve nonlinear Black-Scholes equations in the hedging of portfolios. The algorithm is based on an approximate inverse Laplace transform and is particularly suitable for problems that do not require detailed knowledge of each intermediate time steps.

Ghost and self: Jung's paradigm shift and a response to Zinkin

Zinkin's lucid challenge to Jung makes perfect sense. Indeed, it is the implications of this `making sense' that this paper addresses. For Zinkin's characterization of the `self' takes it as a `concept' requiring coherence; a variety of abstract non-contextual knowledge that itself has a mythical heritage. Moreover, Zinkin's refinement of Jung seeks to make his work fit for the scientific paradigm of modernity. In turn, modernity's paradigm owes much to Newton's notion of knowledge via reductionism. Here knowledge or investigation is divided up into the smallest possible units with the aim of eventually putting it all together into `one' picture of scientific truth. Unfortunately, `reductionism' does not do justice to the resonant possibilities of Jung's writing. These look forward to a new scientific paradigm of the twenty-first century, of the interactive `field', emergence and complexity theory. The paper works paradoxically by discovering Zinkin's `intersubjective self' after all, in two undervalued narratives by Jung, his doctoral thesis and a short late ghost story. However, in the ambivalences and radical fictional experimentation of these fascinating texts can be discerned an-Other self, one both created and found. [From the Publisher]

Adaptive ordering for imperfect successive decision feedback multiuser detection

A method for selecting the order in which the users are detected in communication systems employing adaptive successive decision feedback multiuser detection is proposed. Systems employing channel coding without the assumption of perfect decision feedback are analyzed. The method is based on the mean squared error (MSE) measurements during a training period for each user. The analysis' shows that the method delivers BER performance improvement relative to other previously proposed ordering methods

A review of the rationales for corporate risk management: fashion or the need?

This paper presents the extensive literature survey based both on theoretical rationales for hedging as well as the empirical evidence that support the implications of the theory regarding the arguments for the corporate risk management relevance and its influence on the company’s value. The survey of literature presented in this paper has revealed that there are two chief classes of rationales for corporate decision to hedge - maximisation of shareholder value or maximisation of managers’ private utility. The paper concludes that, the total benefit of hedging is the combination of all these motives and, if the costs of using corporate risk management instruments are less than the benefits provided via the avenues mentioned in this paper, or any other benefit perceived by the market, then risk management is a shareholder-value enhancing activity.

Comparative analysis of corporate risk management practices in Croatian and Slovenian companies

The paper explores differences as well as commonalities in corporate risk management practices and risk exposures in the large non-financial Slovenian and Croatian companies. Comparative analysis of survey results have revealed that the majority of analysed companies in both Croatia and Slovenia are using some form of risk management to manage interest-rate, foreign exchange, or commodity price risk. Regarding the intensity of influence of financial risks on the performance of the analysed companies, the results have shown that the price risk has the highest influence among the Slovenian as well as the Croatian companies. Croatian companies are more affected by currency risk than the Slovenian companies, while the interest-rate risk has been ranged as less important in comparison with commodity price and currency risks. The survey’s results have clearly indicated that Croatian and Slovenian non-financial companies manage financial risks primarily with simple risk management instruments such as natural hedging. In the case of derivatives use, forwards and swaps are by far the most important instruments in both countries, but futures as representatives of standardised derivatives and structured derivatives are more important in the Slovenian than in the Croatian companies.

The CPR: Antique technology observing today's oceans

First designed in the 1920s and in routine use in the Atlantic since the 1930s, the Continuous Plankton Recorder (CPR) is an ocean observing tool that has been used in the north Pacific since 2000 and still retains its relevance. It was the sampler of choice in 2000 because it is reliable, cost-effective, samples on the scale of an entire ocean and, while not a perfect sampler, its limitations are mostly well-known. Earlier this year, the GOOS Scientific Steering Committee endorsed the north Pacific CPR survey as an ocean observing tool. Data from the seven years of sampling in the North Pacific have already shown responses in open ocean plankton to changes from cool to warm ocean conditions, from which we can start to make predictions on responses to future climate changes. This presentation describes and presents results from the survey, and ends with some thoughts on development of the north Pacific CPR survey.

Playback Theatre: the art of being oneself. A tool for empowerment and real change for individuals and communities

This article presents the application of a theatrical technique—Playback Theatre, which was developed in the United States during the 1970s—to social intervention, as a narrative and listening space that confers value and dignity upon the person and the unique and distinct individual experiences that facilitate their social and relational integration. This art of being oneself, as the author states, uses the oral tradition and spontaneous and creative communication of psychodrama and combines them with theatrical expression. This technique has been shown to be pertinent to both community social work and support groups for persons in problematic situations. The aim of this is to celebrate some specific moment of their lives, as individuals or as a community, and to define strategies for improving living conditions or resolving or alleviating conflicts. It is also used to assess the achievements of the proposed objectives, to strengthen the motivation to change and to transform existing relationships into collaborative ones. This is possible not only owing to the participation of persons, but also to the assumption of different roles that can permit the overcoming of certain traumatic events.In addition to support groups, it is used for the training and supervision of social work professionals. The theatrical technique in question allows them to assume roles as diverse as narrator, audience or actor, whether simultaneously or successively. Taking the role of «performer» or guide to the theatrical action requires prior preparation in order for the group of participants to be able to pool their individualities and their emotions and reflect on them. The participatory methodology that Playback Theatre proposes is important in community social work and is posed in a new and transformative key.

"Google News" y el impacto de la Ley de Propiedad Intelectual en la prensa: un nuevo amanecer para la información

2015 se recordará como el gran año del cambio en los medios de comunicación, especialmente para la prensa. A lo largo del mismo se ha llevado a cabo una enconada lucha entre los editores y Google News, a la que se han sumado Yahoo News, Facebook, LinkedIn, Twitter, etc., para determinar quién debe pagar por los contenidos, quién los creará, quién los distribuirá y quién y cómo los leerá. Nuevos pactos para nuevos lectores. Nuevos acuerdos para reflotar económicamente la prensa. Y todo ello bajo el paraguas de la Ley de Propiedad Intelectual en España y otras similares que se irán publicando o adaptando en Europa. Se ofrece un estudio y análisis de la situación previa al establecimiento de dicha ley y las consecuencias de su aplicación.

Probabilistic nonlocal gate operation via imperfect entanglement

Nonlocal gate operation is based on sharing an ancillary pair of qubits in perfect entanglement. When the ancillary pair is partially entangled, the efficiency of gate operation drops. Using general transformations, we devise probabilistic nonlocal gates, which perform the nonlocal operation conclusively when the ancillary pair is only partially entangled. We show that a controlled purification protocol can be implemented by the probabilistic nonlocal operation.

Asymmetric quantum channel for quantum teleportation

We propose an optimal strategy for continuous-variable teleportation in a realistic situation. We show that the typical imperfect quantum operation can be described as a combination of an asymmetrically decohered quantum channel and perfect apparatuses for other operations. For the asymmetrically decohered quantum channel, we find some counterintuitive results: teleportation does not necessarily get better as the channel is initially squeezed more. We show that decoherence-assisted measurement and transformation may enhance fidelity for an asymmetrically mixed quantum channel.

Conclusive teleportation of a d-dimensional unknown state

We formulate a conclusive teleportation protocol for a system in d-dimensional Hilbert space utilizing the positive operator- valued measurement. The conclusive teleportation protocol ensures some perfect teleportation events when the channel is only partially entangled. at the expense of lowering the overall average fidelity. We discuss how much information remains in the inconclusive parts of the teleportation.

Enhanced dynamical entanglement transfer with multiple qubits

We present two strategies to enhance the dynamical entanglement transfer from continuous-variable (CV) to finite-dimensional systems by employing multiple qubits. First, we consider the entanglement transfer to a composite finite-dimensional system of many qubits simultaneously interacting with a bipartite CV field. We show that, considering realistic conditions in the generation of CV entanglement, a small number of qubits resonantly coupled to the CV system are sufficient for an almost complete dynamical transfer of the entanglement. Our analysis also sheds further light on the transition between the microscopic and macroscopic behaviors of composite finite-dimensional systems coupled to bosonic fields (like atomic clouds interacting with light). Furthermore, we present a protocol based on sequential interactions of the CV system with some ancillary qubit systems and on subsequent measurements, allowing us to probabilistically convert CV entanglement into "almost-perfect" Bell pairs of two qubits. Our proposals are suited for realizations in various experimental settings, ranging from cavity-QED to cavity-integrated superconducting devices.

Bilateral Bargaining in Networks

Each connected pair of nodes in a network can jointly produce one unit of surplus. A maximum number of linked nodes is selected in every period to bargain bilaterally over the division of the surplus, according to the protocol proposed by Rubinstein and Wolinsky (Econometrica 53 (1985), 1133-1150). All pairs, that reach an agreement, obtain the (discounted) payoffs and are removed from the network. This bargaining game has a unique subgame perfect equilibrium that induces the Dulmage-Mendelsohn decomposition (partition) of the bipartite network (of the set of nodes in this network).

An exactly solvable four transition point model

Heavy particle collisions, in particular low-energy ion-atom collisions, are amenable to semiclassical JWKB phase integral analysis in the complex plane of the internuclear separation. Analytic continuation in this plane requires due attention to the Stokes phenomenon which parametrizes the physical mechanisms of curve crossing, non-crossing, the hybrid Nikitin model, rotational coupling and predissociation. Complex transition points represent adiabatic degeneracies. In the case of two or more such points, the Stokes constants may only be completely determined by resort to the so-called comparison- equation method involving, in particular, parabolic cylinder functions or Whittaker functions and their strong-coupling asymptotics. In particular, the Nikitin model is a two transition-point one-double-pole problem in each half-plane corresponding to either ingoing or outgoing waves. When the four transition points are closely clustered, new techniques are required to determine Stokes constants. However, such investigations remain incomplete, A model problem is therefore solved exactly for scattering along a one-dimensional z-axis. The energy eigenvalue is b(2)-a(2) and the potential comprises -z(2)/2 (parabolic) and -a(2) + b(2)/2z(2) (centrifugal/centripetal) components. The square of the wavenumber has in the complex z-plane, four zeros each a transition point at z = +/-a +/- ib and has a double pole at z = 0. In cases (a) and (b), a and b are real and unitarity obtains. In case (a) the reflection and transition coefficients are parametrized by exponentials when a(2) + b(2) > 1/2. In case (b) they are parametrized by trigonometrics when a(2) + b(2) <1/2 and total reflection is achievable. In case (c) a and b are complex and in general unitarity is not achieved due to loss of flux to a continuum (O'Rourke and Crothers, 1992 Proc. R. Sec. 438 1). Nevertheless, case (c) coefficients reduce to (a) or (b) under appropriate limiting conditions. Setting z = ht, with h a real constant, an attempt is made to model a two-state collision problem modelled by a pair of coupled first-order impact parameter equations and an appropriate (T) over tilde-tau relation, where (T) over tilde is the Stueckelberg variable and tau is the reduced or scaled time. The attempt fails because (T) over tilde is an odd function of tau, which is unphysical in a real collision problem. However, it is pointed out that by applying the Kummer exponential model to each half-plane (O'Rourke and Crothers 1994 J. Phys. B: At. Mel. Opt. Phys. 27 2497) the current model is in effect extended to a collision problem with four transition points and a double pole in each half-plane. Moreover, the attempt in itself is not a complete failure since it is shown that the result is a perfect diabatic inelastic collision for a traceless Hamiltonian matrix, or at least when both diagonal elements are odd and the off-diagonal elements equal and even.