A local 2-approximation algorithm for the vertex cover problem

We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (Δ + 1)2 synchronous communication rounds, where Δ is the maximum degree of the graph. For Δ = 3, we give a 2-approximation algorithm also for the weighted version of the problem.

A simple local 3-approximation algorithm for vertex cover

We present a local algorithm (constant-time distributed algorithm) for finding a 3-approximate vertex cover in bounded-degree graphs. The algorithm is deterministic, and no auxiliary information besides port numbering is required. (c) 2009 Elsevier B.V. All rights reserved.

A local 2-approximation algorithm for the vertex cover problem

We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (Δ + 1)2 synchronous communication rounds, where Δ is the maximum degree of the graph. For Δ = 3, we give a 2-approximation algorithm also for the weighted version of the problem.

An optimal local approximation algorithm for max-min linear programs

In a max-min LP, the objective is to maximise ω subject to Ax ≤ 1, Cx ≥ ω1, and x ≥ 0 for nonnegative matrices A and C. We present a local algorithm (constant-time distributed algorithm) for approximating max-min LPs. The approximation ratio of our algorithm is the best possible for any local algorithm; there is a matching unconditional lower bound.

Analysing local algorithms in location-aware quasi-unit-disk graphs

A local algorithm with local horizon r is a distributed algorithm that runs in r synchronous communication rounds; here r is a constant that does not depend on the size of the network. As a consequence, the output of a node in a local algorithm only depends on the input within r hops from the node. We give tight bounds on the local horizon for a class of local algorithms for combinatorial problems on unit-disk graphs (UDGs). Most of our bounds are due to a refined analysis of existing approaches, while others are obtained by suggesting new algorithms. The algorithms we consider are based on network decompositions guided by a rectangular tiling of the plane. The algorithms are applied to matching, independent set, graph colouring, vertex cover, and dominating set. We also study local algorithms on quasi-UDGs, which are a popular generalisation of UDGs, aimed at more realistic modelling of communication between the network nodes. Analysing the local algorithms on quasi-UDGs allows one to assume that the nodes know their coordinates only approximately, up to an additive error. Despite the localisation error, the quality of the solution to problems on quasi-UDGs remains the same as for the case of UDGs with perfect location awareness. We analyse the increase in the local horizon that comes along with moving from UDGs to quasi-UDGs.

Local approximability of max-min and min-max linear programs

In a max-min LP, the objective is to maximise ω subject to Ax ≤ 1, Cx ≥ ω1, and x ≥ 0. In a min-max LP, the objective is to minimise ρ subject to Ax ≤ ρ1, Cx ≥ 1, and x ≥ 0. The matrices A and C are nonnegative and sparse: each row ai of A has at most ΔI positive elements, and each row ck of C has at most ΔK positive elements. We study the approximability of max-min LPs and min-max LPs in a distributed setting; in particular, we focus on local algorithms (constant-time distributed algorithms). We show that for any ΔI ≥ 2, ΔK ≥ 2, and ε > 0 there exists a local algorithm that achieves the approximation ratio ΔI (1 − 1/ΔK) + ε. We also show that this result is the best possible: no local algorithm can achieve the approximation ratio ΔI (1 − 1/ΔK) for any ΔI ≥ 2 and ΔK ≥ 2.

Work/Family Reconciliation: Corporate Management, Family Policies, and Gender Equality in the Finnish Context

Work/family reconciliation is a crucial question for both personal well-being and on societal level for productivity and re-production throughout the Western world. This thesis examines work/family reconciliation on societal and organisational level in the Finnish context. The study is based on an initial framework, developing it further and analysing the results with help of it. The methodology of the study is plural, including varying epistemological emphasis and both quantitative and qualitative methods. Policy analysis from two different sectors is followed by a survey answered by 113 HR-managers, and then, based on quantitative analyses, interviews in four chosen case companies. The central findings of the thesis are that there indeed are written corporate level policies for reconciling work and family in companies operating in Finland, in spite of the strong state level involvement in creating a policy context in work/family reconciliation. Also, the existing policies vary in accessibility and use. The most frequently used work/family policies still are the statutory state level policies for family leave, taking place when a baby is born and during his or her first years. Still, there are new policies arising, such as a nurse for an employee’s child who has fallen ill, that are based on company activity only, which shows in both accessibility and use of the policy. Reasons for developing corporate level work/family policies vary among the so-called pro-active and re-active companies. In general, family law has a substantial effect for developing corporate level policies. Also headquarter gender equality strategies as well as employee demands are important. In regression analyses, it was found that corporate image and importance in recruitment are the foremost reasons for companies to develop policies, not for example the amount of female employees in the company. The reasons for policy development can be summarized into normative pressures, coercive pressures and mimetic pressures, in line with findings from institutional theory. This research, however, includes awareness of different stakeholder interests and recognizes that institutional theory needs to be complemented with notions of gender and family, which seem to play a part in perceived work/family conflict and need for further work/family policies both in managers’ personal lives and on the organisational level. A very central finding, demanding more attention, is the by HR managers perceived change in values towards work and commitment towards organisation at the youngest working generation, Generation Y. This combined with the need for key personnel has brought new challenges to companies especially in knowledge business and will presumably lead to further development of flexible practices in organisations. The accessibility to this flexibility seems to, however, be even more dependent on the specific knowledge and skills of the employee. How this generation will change the organisations remains to be seen in further research.

Local texture and microstructure in cube-oriented nickel single crystal deformed by equal channel angular extrusion

Local texture and microstructure was investigated to study the deformation mechanisms during equal channel angular extrusion of a high purity nickel single crystal of initial cube orientation. A detailed texture and microstructure analysis by various diffraction techniques revealed the complexity of the deformation patterns in different locations of the billet. A modeling approach, taking into account slip system activity, was used to interpret the development of this heterogeneous deformation.

Global, Local and Vector-Valued Tb Theorems on Non-Homogeneous Metric Spaces

Various Tb theorems play a key role in the modern harmonic analysis. They provide characterizations for the boundedness of Calderón-Zygmund type singular integral operators. The general philosophy is that to conclude the boundedness of an operator T on some function space, one needs only to test it on some suitable function b. The main object of this dissertation is to prove very general Tb theorems. The dissertation consists of four research articles and an introductory part. The framework is general with respect to the domain (a metric space), the measure (an upper doubling measure) and the range (a UMD Banach space). Moreover, the used testing conditions are weak. In the first article a (global) Tb theorem on non-homogeneous metric spaces is proved. One of the main technical components is the construction of a randomization procedure for the metric dyadic cubes. The difficulty lies in the fact that metric spaces do not, in general, have a translation group. Also, the measures considered are more general than in the existing literature. This generality is genuinely important for some applications, including the result of Volberg and Wick concerning the characterization of measures for which the analytic Besov-Sobolev space embeds continuously into the space of square integrable functions. In the second article a vector-valued extension of the main result of the first article is considered. This theorem is a new contribution to the vector-valued literature, since previously such general domains and measures were not allowed. The third article deals with local Tb theorems both in the homogeneous and non-homogeneous situations. A modified version of the general non-homogeneous proof technique of Nazarov, Treil and Volberg is extended to cover the case of upper doubling measures. This technique is also used in the homogeneous setting to prove local Tb theorems with weak testing conditions introduced by Auscher, Hofmann, Muscalu, Tao and Thiele. This gives a completely new and direct proof of such results utilizing the full force of non-homogeneous analysis. The final article has to do with sharp weighted theory for maximal truncations of Calderón-Zygmund operators. This includes a reduction to certain Sawyer-type testing conditions, which are in the spirit of Tb theorems and thus of the dissertation. The article extends the sharp bounds previously known only for untruncated operators, and also proves sharp weak type results, which are new even for untruncated operators. New techniques are introduced to overcome the difficulties introduced by the non-linearity of maximal truncations.

Local variability and base sequence effects in DNA crystal structures.

The importance and usefulness of local doublet parameters in understanding sequence dependent effects has been described for A- and B-DNA oligonucleotide crystal structures. Each of the two sets of local parameters described by us in the NUPARM algorithm, namely the local doublet parameters, calculated with reference to the mean z-axis, and the local helical parameters, calculated with reference to the local helix axis, is sufficient to describe the oligonucleotide structures, with the local helical parameters giving a slightly magnified picture of the variations in the structures. The values of local doublet parameters calculated by NUPARM algorithm are similar to those calculated by NEWHELIX90 program, only if the oligonucleotide fragment is not too distorted. The mean values obtained using all the available data for B-DNA crystals are not significantly different from those obtained when a limited data set is used, consisting only of structures with a data resolution of better than 2.4 A and without any bound drug molecule. Thus the variation observed in the oligonucleotide crystals appears to be independent of the quality of their crystallinity. No strong correlation is seen between any pair of local doublet parameters but the local helical parameters are interrelated by geometric relationships. An interesting feature that emerges from this analysis is that the local rise along the z-axis is highly correlated with the difference in the buckle values of the two basepairs in the doublet, as suggested earlier for the dodecamer structures (Bansal and Bhattacharyya, in Structure & Methods: DNA & RNA, Vol. 3 (Eds., R.H. Sarma and M.H. Sarma), pp. 139-153 (1990)). In fact the local rise values become almost constant for both A- and B-forms, if a correction is applied for the buckling of the basepairs. In B-DNA the AA, AT, TA and GA basepair sequences generally have a smaller local rise (3.25 A) compared to the other sequences (3.4 A) and this seems to be an intrinsic feature of basepair stacking interaction and not related to any other local doublet parameter. The roll angles in B-DNA oligonucleotides have small values (less than +/- 8 degrees), while mean local twist varies from 24 degrees to 45 degrees. The CA/TG doublet sequences show two types of preferred geometries, one with positive roll, small positive slide and reduced twist and another with negative roll, large positive slide and increased twist.(ABSTRACT TRUNCATED AT 400 WORDS)

Conformation of substituted polyacetylenes in solution : relationship between electronic properties and local order

A study of the chain conformation in solutions of polyphenylacetylene and poly(2-octyne) has been performed. The two polymers differ in many ways : polyphenylacetylene gives a red solution while poly(2-octyne) is transparent and, a marked difference on the chain rigidity is observed : the statistical length are 45 Å and 135 Å respectively. From the study of these two systems, one deduces that curvature fluctuations play a minor role on the π electrons localization, and that the torsion between monomer units is the pertinent parameter to understand the chain conformation and the π electrons localization.

Trafficking in human beings and Foucauldian biopower : A case study in the expansion of the human rights phenomenon

Trafficking in human beings has become one of the most talked about criminal concerns of the 21st century. But this is not all that it has become. Trafficking has also been declared as one of the most pressing human rights issues of our time. In this sense, it has become a part of the expansion of the human rights phenomenon. Although it is easy to see that the crime of trafficking violates several of the human rights of its victims, it is still, in its essence, a fairly conventional although particularly heinous and often transnational crime, consisting of acts between private actors, and lacking, therefore, the vertical effect associated traditionally with human rights violations. This thesis asks, then, why, and how, has the anti-trafficking campaign been translated in human rights language. And even more fundamentally: in light of the critical, theoretical studies surrounding the expansion of the human rights phenomenon, especially that of Costas Douzinas, who has declared that we have come to the end of human rights as a consequence of the expansion and bureaucratization of the phenomenon, can human rights actually bring salvation to the victims of trafficking? The thesis demonstrates that the translation process of the anti-trafficking campaign into human rights language has been a complicated process involving various actors, including scholars, feminist NGOs, local activists and global human rights NGOs. It has also been driven by a complicated web of interests, the most prevalent one the sincere will to help the victims having become entangled with other aims, such as political, economical, and structural goals. As a consequence of its fragmented background, the human rights approach to trafficking seeks still its final form, consisting of several different claims. After an assessment of these claims from a legal perspective, this thesis concludes that the approach is most relevant regarding the mistreatment of victims of trafficking in the hands of state authorities. It seems to be quite common that authorities have trouble identifying the victims of trafficking, which means that the rights granted to themin international and national documents are not realized in practice, but victims of trafficking are systematically deported as illegal immigrants. It is argued that in order to understand the measures of the authorities, and to assess the usefulness of human rights, it is necessary to adopt a Foucauldian perspective and to observe the measures as biopolitical defence mechanisms. From a biopolitical perspective, the victims of trafficking can be seen as a threat to the population a threat that must be eliminated either by assimilating them to the main population with the help of disciplinary techniques, or by excluding them completely from the society. This biopolitical aim is accomplished through an impenetrable net of seemingly insignificant practices and discourses that not even the participants are aware of. As a result of these practices and discourses, trafficking victims only very few of fit the myth of the perfect victim, produced by biopolitical discourses become invisible and therefore subject to deportation as (risky) illegal immigrants, turning them into bare life in the Agambenian sense, represented by the homo sacer, who cannot be sacrificed, yet does not enjoy the protection of the society and its laws. It is argued, following Jacques Rancière and Slavoj i ek, that human rights can, through their universality and formal equality, provide bare life the tools to formulate political claims and therefore utilize their politicization through their exclusion to return to the sphere of power and politics. Even though human rights have inevitably become entangled with biopolitical practices, they are still perhaps the most efficient way to challenge biopower. Human rights have not, therefore, become useless for the victims of trafficking, but they must be conceived as a universal tool to formulate political claims and challenge power .In the case of trafficking this means that human rights must be utilized to constantly renegotiate the borders of the problematic concept of victim of trafficking created by international instruments, policies and discourses, including those that are sincerely aimed to provide help for the victims.

Community-based Ecotourism as a Sustainable Development Option in the Taita Hills, Kenya

This study aims at identifying the existing and potential resources, as well as recognizing the hinderances, for community-based ecotourism development in the Taita Hills in south-eastern Kenya. The indigenous mountain rain forests on the hills are rich in biodiversity, but severely degraded because of encroachment caused by the dynamics of increased population, socio-politics and economics. The research problems are based on the hypothesis that there is no tourism in the Taita Hills generating income for the local economy and high population density combined with poverty creates a need for alternative employment opportunities as well as for sustainable ways of forest resource management. The data for this study was gathered during two field trips in Kenya, in January-February 2004 and 2005, as a part of the Taita Project within the Department of Geography at the University of Helsinki. The qualitative methods used consist of RRA and PRA techniques, in-depth interviews, a structured questionnaire and literature analysis as well as attendance on excursions and a workshop with conservation experts and officials. Four case areas in the Taita Hills are studied. The study concludes that alternative livelihoods are needed among the Taita Hills´ rural population and community-based ecotourism is seen as a way of bringing financial benefits for households as well as reviving the fading cultural traditions and indigenous knowledge about forest use. The governmental policies, district level development plans and some NGOs support ecotourism development. The Forest Act 2005 forms base for local participation in forest management. The unique natural features, the welcoming Taita-culture and the location in the coastal tourism circle favour Taita Hills. However, this kind of development has its risks, such as too rapid change of sorest usage level and the exposure of communities to an ecotourism treadmill process. The costbenefit ration of marketing for hard ecotourists is generally low and the tourism infrastructure needs upgrading in the Taita Hills. More tight collaboration is important between the different level stakeholders working for conservation and development. Community-based ecotourism in Taita Hills, when carefully planned and managed, could be one opportunity for Kenya to diversify its tourism product supply and for forestadjacent communities to gain tangible benefits on a sustainable basis from forests.

Renewable Energy and Climate Policies: Studies in the Forest and Energy Sector

‪This dissertation examines the impacts of energy and climate policies on the energy and forest sectors, focusing on the case of Finland. The thesis consists of an introduction article and four separate studies. The dissertation was motivated by the climate concern and the increasing demand of renewable energy. In particular, the renewable energy consumption and greenhouse gas emission reduction targets of the European Union were driving this work. In Finland, both forest and energy sectors are in key roles in achieving these targets. In fact, the separation between forest and energy sector is diminishing as the energy sector is utilizing increasing amounts of wood in energy production and as the forest sector is becoming more and more important energy producer.‬ ‪The objective of this dissertation is to find out and measure the impacts of climate and energy policies on the forest and energy sectors. In climate policy, the focus is on emissions trading, and in energy policy the dissertation focuses on the promotion of renewable forest-based energy use. The dissertation relies on empirical numerical models that are based on microeconomic theory. Numerical partial equilibrium mixed complementarity problem models were constructed to study the markets under scrutiny. The separate studies focus on co-firing of wood biomass and fossil fuels, liquid biofuel production in the pulp and paper industry, and the impacts of climate policy on the pulp and paper sector.‬ ‪The dissertation shows that the policies promoting wood-based energy may have have unexpected negative impacts. When feed-in tariff is imposed together with emissions trading, in some plants the production of renewable electricity might decrease as the emissions price increases. The dissertation also shows that in liquid biofuel production, investment subsidy may cause high direct policy costs and other negative impacts when compared to other policy instruments. The results of the dissertation also indicate that from the climate mitigation perspective, perfect competition is the favored wood market competition structure, at least if the emissions trading system is not global.‬ ‪In conclusion, this dissertation suggests that when promoting the use of wood biomass in energy production, the favored policy instruments are subsidies that promote directly the renewable energy production (i.e. production subsidy, renewables subsidy or feed-in premium). Also, the policy instrument should be designed to be dependent on the emissions price or on the substitute price. In addition, this dissertation shows that when planning policies to promote wood-based renewable energy, the goals of the policy scheme should be clear before decisions are made on the choice of the policy instruments.‬