Pomax games: A new class of partizan games played on posets

A new class of partizan games (Pomax games) played on posets is presented. It is shown that all Pomax games are integer valued, and that it is NP-hard to determine the winner of an arbitrary Pomax game. Pomax games played on trees are solved, and also for Pomax games played on a chess-colored Young...

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Main Author: Järleberg, ERik
Format: Others
Language:English
Published: KTH, Matematik (Avd.) 2013
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-129532
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spelling ndltd-UPSALLA1-oai-DiVA.org-kth-1295322013-10-04T05:41:15ZPomax games: A new class of partizan games played on posetsengJärleberg, ERikKTH, Matematik (Avd.)2013A new class of partizan games (Pomax games) played on posets is presented. It is shown that all Pomax games are integer valued, and that it is NP-hard to determine the winner of an arbitrary Pomax game. Pomax games played on trees are solved, and also for Pomax games played on a chess-colored Young diagram. En ny klass av partiska spel (Pomax-spel) som spelas på pomängder introduceras i detta exjobb. Vi visar att Pomax-spel är heltal, samt att det är NP-svårt att bestämma vinnaren hos godtyckliga Pomax spel. Vi visar även hur man kan lösa Pomax spel som spelas på träd, och även hur man löser Pomax-spel som spelas på Young diagram med schackfärgning. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-129532TRITA-MAT-E ; 2013:46application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
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description A new class of partizan games (Pomax games) played on posets is presented. It is shown that all Pomax games are integer valued, and that it is NP-hard to determine the winner of an arbitrary Pomax game. Pomax games played on trees are solved, and also for Pomax games played on a chess-colored Young diagram. === En ny klass av partiska spel (Pomax-spel) som spelas på pomängder introduceras i detta exjobb. Vi visar att Pomax-spel är heltal, samt att det är NP-svårt att bestämma vinnaren hos godtyckliga Pomax spel. Vi visar även hur man kan lösa Pomax spel som spelas på träd, och även hur man löser Pomax-spel som spelas på Young diagram med schackfärgning.
author Järleberg, ERik
spellingShingle Järleberg, ERik
Pomax games: A new class of partizan games played on posets
author_facet Järleberg, ERik
author_sort Järleberg, ERik
title Pomax games: A new class of partizan games played on posets
title_short Pomax games: A new class of partizan games played on posets
title_full Pomax games: A new class of partizan games played on posets
title_fullStr Pomax games: A new class of partizan games played on posets
title_full_unstemmed Pomax games: A new class of partizan games played on posets
title_sort pomax games: a new class of partizan games played on posets
publisher KTH, Matematik (Avd.)
publishDate 2013
url http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-129532
work_keys_str_mv AT jarlebergerik pomaxgamesanewclassofpartizangamesplayedonposets
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