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Prof. Alsayed alsayed mitwali badr :: Publications: |
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| Title: | Badr and M. I.Moussa (2010) " On Jump- Critical Ordered Sets " 5th International Conference of Mathematics and Engineering physics (ICMEP-5), Egypt. |
| Authors: | E. M. Badr and M. I. Moussa |
| Year: | 2010 |
| Keywords: | Not Available |
| Journal: | Not Available |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | Local |
| Paper Link: | |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
For an ordered set P and for a linear extension L of P, let s(P,L) stand for the number of ordered pairs (x, y) of elements of P such that y is an immediate successor of x in L but y is not even above x in P. Put s(P) = min {s(P, L) : L linear extension of P}, the jump number of P. Call an ordered set P jump-critical if s(P - {x}) < s(P) for any x belongs to P. We introduce some theorems about the jump-critical ordered sets with jump number four. |
