Equimatchable Graphs are C_2k+1-free for k ≥ 4

نویسندگان

  • Cemil Dibek
  • Tinaz Ekim
  • Didem Gözüpek
  • Mordechai Shalom
چکیده

A graph is equimatchable if all of its maximal matchings have the same size. Equimatchable graphs are extensively studied in the literature mainly from structural point of view. Here we provide, to the best of our knowledge, the first family of forbidden subgraphs of equimatchable graphs. Since equimatchable graphs are not hereditary, the task of finding forbidden subgraphs requires the use of structural results from previous works.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 339  شماره 

صفحات  -

تاریخ انتشار 2015