On Cobweb Posets and Discrete F-Boxes Tilings

  title={On Cobweb Posets and Discrete F-Boxes Tilings},
  author={Maciej Dziemianczuk},
Abstract F -boxes defined in [6] as hyper-boxes in N∞ discrete space were applied here for the geometric description of the cobweb posetes Hasse diagrams tilings. The F -boxes edges sizes are taken to be values of terms of natural numbers’ valued sequence F . The problem of partitions of hyper-boxes represented by graphs into blocks of special form is considered and these are to be called F -tilings. The proof of such tilings’ existence for certain sub-family of admissible sequences F is… CONTINUE READING