Independence systems with continuous cardinality of bases

نویسندگان

  • Denis Naddef
  • Najiba Sbihi
  • Maurice Tchuente
چکیده

The maximum cardinality basis problem in a genoid (i.e. an independence system), although NP-complete in general, is solvable in a polynomial time in the following cases: matchings of a graph [l], intersection of two matroi’ds [2,4] and independent set of vertices in claw-free graphs [S, 71. These three genoi’ds satisfy the continuous cardinal&y of bases for all their minors. The aim of this paper is to characterize those genoids having this property and to answer thereby a question posed by Sakarovitch [6].

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عنوان ژورنال:
  • Discrete Mathematics

دوره 31  شماره 

صفحات  -

تاریخ انتشار 1980