{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:24:12Z","timestamp":1740108252457,"version":"3.37.3"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,9,16]],"date-time":"2020-09-16T00:00:00Z","timestamp":1600214400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,16]],"date-time":"2020-09-16T00:00:00Z","timestamp":1600214400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math Meth Oper Res"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s00186-020-00728-4","type":"journal-article","created":{"date-parts":[[2020,9,16]],"date-time":"2020-09-16T05:02:30Z","timestamp":1600232550000},"page":"1-32","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Inheritance of convexity for the $$\\mathcal {P}_{\\min }$$-restricted game"],"prefix":"10.1007","volume":"93","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7148-3458","authenticated-orcid":false,"given":"A.","family":"Skoda","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,9,16]]},"reference":[{"key":"728_CR1","unstructured":"Algaba E (1998) Extensi\u00f3n de juegos definidos en sistemas de conjuntos. Ph.D. thesis, University of Seville"},{"key":"728_CR2","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/s001860000060","volume":"52","author":"E Algaba","year":"2000","unstructured":"Algaba E, Bilbao J, Borm P, Lopez J (2000) The position value for union stable systems. Math Methods Oper Res 52:221\u2013236","journal-title":"Math Methods Oper Res"},{"issue":"4","key":"728_CR3","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1023\/A:1010344404281","volume":"50","author":"E Algaba","year":"2001","unstructured":"Algaba E, Bilbao J, Lopez J (2001) A unified approach to restricted games. Theory Decis 50(4):333\u2013345","journal-title":"Theory Decis"},{"key":"728_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-4393-0","volume-title":"Cooperative games on combinatorial structures","author":"JM Bilbao","year":"2000","unstructured":"Bilbao JM (2000) Cooperative games on combinatorial structures. Kluwer Academic Publishers, Boston"},{"issue":"1","key":"728_CR5","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1137\/S0895480102402745","volume":"17","author":"JM Bilbao","year":"2003","unstructured":"Bilbao JM (2003) Cooperative games under augmenting systems. SIAM J Discrete Math 17(1):122\u2013133","journal-title":"SIAM J Discrete Math"},{"key":"728_CR6","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1016\/S0167-5060(08)70734-9","volume":"1","author":"J Edmonds","year":"1977","unstructured":"Edmonds J, Giles R (1977) A min\u2013max relation for submodular functions on graphs. Ann Discrete Math 1:185\u2013204","journal-title":"Ann Discrete Math"},{"issue":"6","key":"728_CR7","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1007\/BF01415939","volume":"33","author":"U Faigle","year":"1989","unstructured":"Faigle U (1989) Cores of games with restricted cooperation. ZOR Methods Models Oper Res 33(6):405\u2013422","journal-title":"ZOR Methods Models Oper Res"},{"issue":"1","key":"728_CR8","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1016\/j.ejor.2010.01.043","volume":"206","author":"U Faigle","year":"2010","unstructured":"Faigle U, Grabisch M, Heyne M (2010) Monge extensions of cooperation and communication structures. Eur J Oper Res 206(1):104\u2013110","journal-title":"Eur J Oper Res"},{"key":"728_CR9","series-title":"Annals of discrete mathematics","volume-title":"Submodular functions and optimization","author":"S Fujishige","year":"2005","unstructured":"Fujishige S (2005) Submodular functions and optimization, vol 58, 2nd edn. Annals of discrete mathematics. Elsevier, Amsterdam","edition":"2"},{"issue":"1","key":"728_CR10","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1007\/s10479-012-1265-4","volume":"204","author":"M Grabisch","year":"2013","unstructured":"Grabisch M (2013) The core of games on ordered structures and graphs. Ann Oper Res 204(1):33\u201364","journal-title":"Ann Oper Res"},{"issue":"1","key":"728_CR11","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s10479-012-1200-8","volume":"201","author":"M Grabisch","year":"2012","unstructured":"Grabisch M, Skoda A (2012) Games induced by the partitioning of a graph. Ann Oper Res 201(1):229\u2013249","journal-title":"Ann Oper Res"},{"issue":"3","key":"728_CR12","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1287\/moor.2.3.225","volume":"2","author":"R Myerson","year":"1977","unstructured":"Myerson R (1977) Graphs and cooperation in games. Math Oper Res 2(3):225\u2013229","journal-title":"Math Oper Res"},{"issue":"2","key":"728_CR13","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1137\/0607025","volume":"7","author":"G Owen","year":"1986","unstructured":"Owen G (1986) Values of graph-restricted games. SIAM J Algebraic Discrete Methods 7(2):210\u2013220","journal-title":"SIAM J Algebraic Discrete Methods"},{"key":"728_CR14","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1016\/j.disopt.2017.01.004","volume":"25","author":"A Skoda","year":"2017","unstructured":"Skoda A (2017) Inheritance of convexity for partition restricted games. Discrete Optim 25:6\u201327","journal-title":"Discrete Optim"},{"issue":"3","key":"728_CR15","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1051\/ro\/2017069","volume":"53","author":"A Skoda","year":"2019","unstructured":"Skoda A (2019) Convexity of graph-restricted games induced by minimum partitions. RAIRO Oper Res 53(3):841\u2013866","journal-title":"RAIRO Oper Res"},{"issue":"2","key":"728_CR16","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/s001820000039","volume":"29","author":"M Slikker","year":"2000","unstructured":"Slikker M (2000) Inheritance of properties in communication situations. Int J Game Theory 29(2):241\u2013268","journal-title":"Int J Game Theory"},{"issue":"2","key":"728_CR17","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1137\/0201010","volume":"1","author":"R Tarjan","year":"1972","unstructured":"Tarjan R (1972) Depth first search and linear graph algorithms. SIAM J Comput 1(2):146\u2013160","journal-title":"SIAM J Comput"},{"issue":"4","key":"728_CR18","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1007\/BF01766431","volume":"19","author":"A van den Nouweland","year":"1991","unstructured":"van den Nouweland A, Borm P (1991) On the convexity of communication games. Int J Game Theory 19(4):421\u201330","journal-title":"Int J Game Theory"}],"container-title":["Mathematical Methods of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-020-00728-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00186-020-00728-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00186-020-00728-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,15]],"date-time":"2021-09-15T23:32:15Z","timestamp":1631748735000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00186-020-00728-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,16]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["728"],"URL":"https:\/\/doi.org\/10.1007\/s00186-020-00728-4","relation":{},"ISSN":["1432-2994","1432-5217"],"issn-type":[{"type":"print","value":"1432-2994"},{"type":"electronic","value":"1432-5217"}],"subject":[],"published":{"date-parts":[[2020,9,16]]},"assertion":[{"value":"9 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 March 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 September 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}