A one-to-one correspondence between potential solutions of the cluster deletion problem and the minimum sum coloring problem, and its application to P4 -sparse graphs
Identifieur interne : 000816 ( Main/Exploration ); précédent : 000815; suivant : 000817A one-to-one correspondence between potential solutions of the cluster deletion problem and the minimum sum coloring problem, and its application to P4 -sparse graphs
Auteurs : Flavia Bonomo [Argentine] ; Guillermo Duran [Argentine] ; Amedeo Napoli [France] ; Mario Valencia-Pabon [France]Source :
English descriptors
Abstract
In this note we show a one-to-one correspondence between potentially optimal solutions to the cluster deletion problem in a graph G and potentially optimal solutions for the minimum sum coloring problem in G (i.e. the complement graph of G). We apply this correspondence to polynomially solve the cluster deletion problem in a subclass of P 4 -sparse graphs that strictly includes P 4 -reducible graphs.
Url:
Affiliations:
- Argentine, France
- Grand Est, Lorraine (région), Île-de-France
- Metz, Nancy, Paris
- Université Paris 13, Université de Lorraine
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Le document en format XML
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We apply this correspondence to polynomially solve the cluster deletion problem in a subclass of P 4 -sparse graphs that strictly includes P 4 -reducible graphs.</div></front></TEI><affiliations><list><country><li>Argentine</li><li>France</li></country><region><li>Grand Est</li><li>Lorraine (région)</li><li>Île-de-France</li></region><settlement><li>Metz</li><li>Nancy</li><li>Paris</li></settlement><orgName><li>Université Paris 13</li><li>Université de Lorraine</li></orgName></list><tree><country name="Argentine"><noRegion><name sortKey="Bonomo, Flavia" sort="Bonomo, Flavia" uniqKey="Bonomo F" first="Flavia" last="Bonomo">Flavia Bonomo</name></noRegion><name sortKey="Duran, Guillermo" sort="Duran, Guillermo" uniqKey="Duran G" first="Guillermo" last="Duran">Guillermo Duran</name></country><country name="France"><region name="Grand Est"><name sortKey="Napoli, Amedeo" sort="Napoli, Amedeo" uniqKey="Napoli A" first="Amedeo" last="Napoli">Amedeo Napoli</name></region><name sortKey="Valencia Pabon, Mario" sort="Valencia Pabon, Mario" uniqKey="Valencia Pabon M" first="Mario" last="Valencia-Pabon">Mario Valencia-Pabon</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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