An Algorithm for the Maximum Weight Strongly Stable Matching Problem

An instance of the maximum weight strongly stable matching problem with incomplete lists and ties is an undirected bipartite graph G = (A cup B, E), with an adjacency list being a linearly ordered list of ties, which are vertices equally good for a given vertex. We are also given a weight function w on the set E. An edge (x, y) in E setminus M is a blocking edge for M if by getting matched to each other neither of the vertices x and y would become worse off and at least one of them would become better off. A matching is strongly stable if there is no blocking edge with respect to it. The goal is to compute a strongly stable matching of maximum weight with respect to w. We give a polyhedral characterisation of the problem and prove that the strongly stable matching polytope is integral. This result implies that the maximum weight strongly stable matching problem can be solved in polynomial time. Thereby answering an open question by Gusfield and Irving [Dan Gusfield and Robert W. Irving, 1989]. The main result of this paper is an efficient O(nm log{(Wn)}) time algorithm for computing a maximum weight strongly stable matching, where we denote n = |V|, m = |E| and W is a maximum weight of an edge in G. For small edge weights we show that the problem can be solved in O(nm) time. Note that the fastest known algorithm for the unweighted version of the problem has O(nm) runtime [Telikepalli Kavitha et al., 2007]. Our algorithm is based on the rotation structure which was constructed for strongly stable matchings in [Adam Kunysz et al., 2016]

The Strongly Stable Roommates Problem

An instance of the strongly stable roommates problem with incomplete lists and ties (SRTI) is an undirected non-bipartite graph G = (V,E), with an adjacency list being a linearly ordered list of ties, which are vertices equally good for a given vertex. Ties are disjoint and may contain one vertex. A matching M is a set of vertex-disjoint edges. An edge {x, y} in EM is a blocking edge for M if x is either unmatched or strictly prefers y to its current partner in M, and y is either unmatched or strictly prefers x to its current partner in M or is indifferent between them. A matching is strongly stable if there is no blocking edge with respect to it. We present an O(nm) time algorithm for computing a strongly stable matching, where we denote n = |V| and m = |E|. The best previously known solution had running time O(m^2) [Scott, 2005]. We also give a characterisation of the set of all strongly stable matchings. We show that there exists a partial order with O(m) elements representing the set of all strongly stable matchings, and we give an O(nm) algorithm for constructing such a representation. Our algorithms are based on a simple reduction to the bipartite version of the problem

Etudier l'ineffable. Âmes, esprits et autres fantômes d'un hôpital abandonné

Au travers d'un travail visuel d'évocation des imaginaires de l'hôpital abandonné de Bavière (Liège), cette présentation explore quelques réinterprétations successives et glissements socio-sémantiques dont est vectrice la matière architecturale dans ses déprises et reprises

Going postal. L’assemblage iconographique au service de la conceptualisation ethnographique.

Cette communication entend présenter les apports d’une approche méthodologique interdisciplinaire mise en oeuvre au sein d’une recherche doctorale plus large par théorisation ancrée (Glaser, Strauss 1967) portant sur les utilisations des imaginaires socio-historiques des lieux dans le cadre de projets de réaménagement de friches. Nous présenterons la première phase de cette recherche au travers d’un terrain, la friche de l’ancien hôpital de Bavière (Liège) et la façon dont les données y sont successivement collectées, traitées puis analysées pour nourrir la compréhension et la transmission de ces imaginaires. Bavière est ici conçu dans une relecture plurielle du haut-lieu (Debarbieux 1993). En ce sens, l’établissement d’un portrait des imaginaires de Bavière revient également à dresser la pluralité des attachements qu’entretiennent des imagineurs aux manifestations spatiales et mémorielles du lieu. La démarche donne lieu à la production d’un portait ethnographique (Kunysz 2019) par description dense (Geertz 1973) réexploré via une traduction par assemblage iconographique laquelle fait ensuite l’objet d’une analyse sémiologique. Au centre de cette démarche se situe l’image photographique, matériau de terrain ici désignifié puis resignifié pour mieux explorer l’indicible du « sens du lieu » (Tuan 1974) dans l’espace entre les images (Didi-Hubermann 2002). La conception de cartes postales, détournant les codes d’une évocation banale de lieux permet ainsi d’interroger les rapports socio-physiques sous-tendant ceux-ci, à la manière des travaux performatifs de Takala ou Long (Vaughan 2003). L’explicitation scientifique du portrait graphique repose alors sur une analyse sémiologique par objectivation de ses isotopies (Minguet 1974 selon Calabrese 2003) et isographies (Costantitni 1980 selon Calabrese 2003). Cette approche permet la transmission simple d’informations ethnographiques complexes, l’explicitation de liens indicibles habitant les imaginaire pluriels des lieux et l’identification par comparaison des angles morts des textes ethnographiques et graphiques, nourrissant en retour l’enquête ethnographique. Enfin, le recours à l’assemblage iconographique permet une première explicitation des dynamiques d’effacement, de remplacement et d’appropriation des imaginaires sociaux et historiques des lieux évoquant les travaux sur la gentrification des esprits (Schulman 2018). Nous mettons ainsi les dynamiques d’émergence de catégories conceptualisantes par la GTM à la lumière des pratiques de design et de leurs capacités à fabriquer du sens par la conception de fictions (Schaeffer 1999)

Sytuacja dziecka niepełnosprawnego w szkole = The situation of disabled child in school

Kunysz-Rozborska Magdalena. Sytuacja dziecka niepełnosprawnego w szkole = The situation of disabled child in school. Journal of Education, Health and Sport. 2016;6(7):103-112. eISSN 2391-8306. DOI http://dx.doi.org/10.5281/zenodo.57170http://ojs.ukw.edu.pl/index.php/johs/article/view/3660   The journal has had 7 points in Ministry of Science and Higher Education parametric evaluation. Part B item 755 (23.12.2015).755 Journal of Education, Health and Sport eISSN 2391-8306 7© The Author (s) 2016;This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, PolandOpen Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium,provided the original author(s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License(http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited.This is an open access article licensed under the terms of the Creative Commons Attribution Non Commercial License (http://creativecommons.org/licenses/by-nc/4.0/) which permits unrestricted, non commercialuse, distribution and reproduction in any medium, provided the work is properly cited.The authors declare that there is no conflict of interests regarding the publication of this paper.Received: 25.05.2016. Revised 25.06.2016. Accepted: 28.06.2016.  SYTUACJA DZIECKA NIEPEŁNOSPRAWNEGO W SZKOLETHE SITUATION OF DISABLED CHILD IN SCHOOL Magdalena Kunysz-Rozborska Wydział Wychowania Fizycznego, Uniwersytet Rzeszowski  Mgr Magdalena Kunysz-RozborskaWydział Wychowania Fizycznego, Uniwersytet Rzeszowski StreszczenieArtykuł ma na celu ukazanie wybranych aspektów sytuacji, w jakiej znajduje się dziecko niepełnosprawne umysłowo lub fizycznie w szkole pośród swoich w pełni sprawnych rówieśników. Stopień upośledzenia może przyjąć formy utrudniania, ograniczania i uniemożliwiania orientacji w otoczeniu, zdobywaniu wiedzy, czynnościach życia codziennego, poruszania się w przestrzeni, pracy zawodowej, integracji społecznej, a także niezależności ekonomicznej. Efektywność procesu kształcenia ucznia z niepełnosprawnością w szkole ogólnodostępnej zależy od bardzo wielu czynników. Jednym z głównych warunków jest jakość usługi edukacyjnej oferowanej uczniowi przez placówkę. Rzeczywistość pokazuje, jak duże trudności mają nauczyciele pracujący w szkołach integracyjnych w konstruowaniu indywidualnych programów nauczania dla konkretnych uczniów niepełnosprawnych i dostosowywaniu wymagań edukacyjnych do indywidualnych możliwości każdego z nich.Słowa kluczowe: uczeń niepełnosprawny, niepełnosprawność, zdrowie, aktywność ruchowa, upośledzenie. Summary                The main aim of the article is to show some aspects of the situation in which the child is mentally or physically handicapped at school among their non-disabled peers. The degree of an impairment may take the form of hindering, reducing and preventing orientation in the environment, the acquisition of knowledge, activities of daily life, moving in space, work, social integration, and economic independence. The effectiveness of the learning process student with a disability in a mainstream school depends on many factors. One of the main conditions is the quality of educational services offered to the student by the facility. Reality shows how much difficulties the teachers have working at integration  schools and designing an individual curricula for specific students with disabilities and adapting the educational requirements to individual potential for each of them.Key words: student with a disability, disability, health, physical effort, handicap

Retourner sur le terrain. Ambiguïtés d’un engagement scientifique, politique et personnel

Cette intervention présente le projet de recherche, consistant à mettre à jour les imaginaires de lieux à l'oeuvre derrière les friches et leurs opérations de réaménagement, et les réflexions méthodologiques qui l'accompagnent au stade de préparation du retour sur le terrain. Un focus est particulièrement mis sur les ambiguïtés perçus suite au parcours du chercheur, cadré sous les notions d'engagements scientifique et politique, et une tentative de dépassement de l'ambiguïté est proposé au travers de l'utilisation d'un engagement personnel

Is commoning compatible with heterotopia? Reflections from Montreal's Champ des Possibles

Heterotopic green spaces enhance urban regeneration more than other urban green spaces, precisely because of their informality, diversity of activities and imaginings, marginality, and dynamism (cf., Stavrides 2007). Bottom-up occupation of and informal claims to urban space transform relations among people and space. “Commoning” occurs when these transformations produce shared access to and maintenance of resources and/or spaces combined with a sense of mutuality among participants (Bollier and Helfrich 2015, 2019; Blomley 2008, 2016; Linebaugh 2008, 79, 279; Williams 2018). Commoning contributes to the vitality and durability of bottom-up efforts to reclaim and share spaces and resources (Gibson-Graham 2006; Ostrom 1990; Singh 2017). But is it also compatible with heterotopia? In principle, commoning could facilitate coexistence, but if there are tensions among varied imaginaries and activities, it may be incompatible with heterotopia (cf., Helton 2015; Nightingale 2018; Velicu & García-López 2018). We explore these questions in the context of Montreal’s Champ des Possibles, an abandoned railyard that has transformed into an open urban green space where an eclectic and changing set of people engage in a wide variety of activities. Observations and narratives from the Champ des Possible suggest that, despite many tensions and sources of incompatibility, heterotopia and commoning can coexist. The scale, discretion, ephemerality, and tendency to foreclose or open possibilities of activities, values, and visions associated with heterotopia and commoning influence their social acceptability, and thus their compatibility. Our case material also suggests, however, that the question does not fully capture the dynamism or complexity of heterotopia and commoning