Extension of Some Edge Graph Problems: Standard and Parameterized Complexity

Le PDF est une version auteur non publiée.We consider extension variants of some edge optimization problems in graphs containing the classical Edge Cover, Matching, and Edge Dominating Set problems. Given a graph G=(V,E) and an edge set U⊆E, it is asked whether there exists an inclusion-wise minimal (resp., maximal) feasible solution E′ which satisfies a given property, for instance, being an edge dominating set (resp., a matching) and containing the forced edge set U (resp., avoiding any edges from the forbidden edge set E∖U). We present hardness results for these problems, for restricted instances such as bipartite or planar graphs. We counter-balance these negative results with parameterized complexity results. We also consider the price of extension, a natural optimization problem variant of extension problems, leading to some approximation results

Concept riqualificazione aree facolt\ue0 architettura politecnico di Milano. supervisor: santiago quesada

(From curators) The MIAW.2/forests program ///Day 1 Salutations Alessandro Balducci, Vice Rector of the Politecnico di Milano - Gianni Scudo, Vice Dean of the School \u2bbArchitettura e Societ\ue0\u2bc - Ilaria Valente, President School \u2bbArchitettura e Societ\ue0\u2bc Master of Sciences in Architecture Course - Emilio Genovesi, Councillorship of Culture, Expo, Fashion and Design, Comune di Milano - Richard Haag, Professor Emeritus University of Washington, Seattle // Opening Lecture \u2bbStick-Charts\u2bc by Christine Dalnoky, Atelier Christine Dalnoky (France) // Workshops opening ///Day 2 MIAW Open Lectures Morning Sessions Fran\ue7oise Akinosho / Maja Leonelli - MIAW Open Lectures Afternoon Sessions Anders Berensson + Ulf Mejergren (Visiondivison) / Drew Seskunas and Brice Delarue (Zirkumflex) ///Day 3 MIAW Open Lectures Morning Sessions Marialena Nikolopoulou / Marta Bottero and Chiara D\u2bcAlpaos - MIAW Afternoon Open Lectures Sessions Giovanni Attili / Santiago Quesada ///Day 4 MIAW Open Lectures Morning Sessions Duilio Forte (AtelierFORTE) / Andre Dekker (Observatorium) ///Day 5 MIAW.2 Final and Farewell Party at the Politecnico di Milano Leonardo Campus /// The 2011 MIAWers are:/// 1 Rachele Albini / Giada Albonico / Jacopo Biasio / Sara Caramaschi / Elisa Carraro / Desislava Dimitrova / Cristina Gatti / Elisa Gulino / Mariya Hasamova / Nina Mikhailova / Ottavia Molatore / Joao Molinar / Azadeh Moradiasr / Mohyedin Navabzadeh Navabi / Giuseppe Maria Palermo / Riccardo Somaini / Bogdan Stojanovic /// 2 Andra Elena Apostolescu / Valentina Armenti / Dana Baranes / Sofia Chicherina / Guadalupe Ciocoletto / Marina Franzi / Gulin Keskin / Somayeh Khoshdelmishamandani / Gabriella Milo / Filippo Minora / Ayca Ozbank / Priyank Dipakbhai Parmar / Elena Piazza / Nicol\uf2 Rota / Pietro Spazzini / Paolo Volpetti / Tamara Zarkovic / Maia Zheliazkova /// 3 Kalina Andreeva / Giacomo Ardesio / Giulia Cascella / Filippo Cima / Carolina Lu\uedsa De S\ue1 E Brito / Alaleh Emami / Michele Gerli / Anna Chiara Leardini / Marina Meloni / Navid Moshfeghi / Alexandra Nita / Rohit Perla / Gabriele Tomassini /// 4 Alessia Albini / Laura Beltrami / Giuseppe Biscottini / Lorenzo Campini / Angela Charalambous / Michela Di Noia / Reza Kamyabi / Ivana Lilikj / Jacopo Marcolini / Behnam Meimandpour / Surajkumar Nandakumar / Sophia Theologou / Ofelia Vera / Marco Zanini / Alice Cristina Jola Zingales / Riccardo Zocche /// 5 Fabio Bonaventura / Mattia Bravin / Matteo Calati / Lia Crupi / Serena D\u2bcAndrea / Maria Grubova / Ketaki Kadam / Maria Korobitsyna / Aly Mohamed Mohamed Ahmed El Sayed / Mattia Morandi / Haitham Nabil Mohamed Mousa / Ozge Noyan / Arlinda Sheqiri / Ceren Sipahioglu / Paula Stefan / Claudio Valcamonico /// 6 Alessandra D'Apolito / Chrysafina Geronta / Bernardo Gonzalez De Cossio Paez / Rajesh Gupta / Sona Keresztesov\ue1 / Federico Montagna / Maria Nickolova / Parsa Pahlavan / Raluca-Mihaela Serdaru / Alexandra Shatskaya /// 7 Elena Alexandrova / Chrystalla Argyrou / Tijana Djordjevic / Gloria Ferrari / Priscilla Gazzellini / Deborah Gotti / Francesco Ernst Lupic / Giulia Marcosano / Lara Mondonico / Veronica Notaro / Savia Palate / Caterina Pilar Palumbo / Ilaria Pedrini / Andrea Perletti / Giulia Repetti / Aster Sittoni / Gulcin Tanil / Matteo Tressi / Erica Ubbiali / Ayman Wagdy Mohamed Ibrahim /// 8 Giada Bonatti / Matteo Chelazzi / Alberto D\u2bcOspina / Serena Di Nocera / Katarzyna Dudycz / Nenad Duric / Filip Durickovic / Francesca Fabiana Fochi / Andrea Guaiti / Daniela Iallorenzi / Americo Iannazzone / Mickeal Milocco / Gabriele Motta / Andreea Onu / Patrizio Pelosi / Marta Petrov / Olga Shishova / Jue Wang /// 9 Constantina Agroti / Arezoo Akbarvand / Glykeria Anaxagorouglyka / Stefano Arrighi / Nicol\uf2 Bianchi / Giulia Borghi / Miruna-Luiza Caragheorgheopol / Daniele Cremaschi / Vedat Ali Dalokay / Matteo Gobbi / Seyedeh Golkoo Hooshmand Ziafi / Daniele Iori / Berk Kangoz / Katarzyna Krol / Georgios Kyriazis / Lorenza Manfredi / Abdulkadir Eren Ozturk / Amanda Parisi De Marchi / Isha Rathod / Negin Salamat / Marina Serratine Paul / Alessia Tosini / Maria Vassileva / Ege Yuksek /// 10 Stefan Andelkovic / Mirko Andolina / Pietro Bodria / Alessandro Danesi / Irene De Donatis / Claudia De Flumeri / Corinna Del Bianco / Joris Katkecivius / Claudia Mainardi / Federico Marcantognini / Jenni Mazzoni / Luca Menegaldo / Milena Meregalli / Emanuele Migliorosi / Sara Moriggia / Manuele Mossoni / Claudia Praderio / Filippo Tiozzo / Arianne Veloce / Francesca Zanotto MIAW.2/forestsThe 2nd Milano International Architectural Workshop of the Politecnico di Milano\u2bcs School of \u2bbArchitettura e Societ\ue0\u2bc programmes, playing with the metaphor of forests, aimed to generate 10 new visions to explain nowadays living and its next future in the spirit of green design, resilience, recycling, and ethical consciousness.MIAW.2 took place from September 26th to September 30th 2011 involving more than 100 students supervised by 15 international tutors working on 10 different workshop themes with the target to enrich the Politecnico di Milano\u2bcs Leonardo Campus environscape with light installations.This catalogue shows the MIAW.2/forests resul