Rainbow copies of C4 in edge-colored hypercubes

نویسندگان

  • József Balogh
  • Michelle Delcourt
  • Bernard Lidický
  • Cory Palmer
چکیده

For positive integers k and d such that 4 ≤ k < d and k 6= 5, we determine the maximum number of rainbow colored copies of C4 in a k-edge-coloring of the d-dimensional hypercube Qd. Interestingly, the k-edge-colorings of Qd yielding the maximum number of rainbow copies of C4 also have the property that every copy of C4 which is not rainbow is monochromatic.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 210  شماره 

صفحات  -

تاریخ انتشار 2016