|
| |
|
|
Möbius function of matrix posets
Medek, Michal ; Jelínek, Vít (vedoucí práce) ; Kantor, Ida (oponent)
In this work, we focus on the M¨obius function µ(X, Y ) of four variants of containment posets of sparse matrices, for which the M¨obius function has not been studied before. A sparse matrix is a binary matrix containing at most one 1-cell in each row and column. We focus mainly on the dominated scattered containment, where X ≤ Y if X can be created from Y by removing some rows and columns and by changing some 1-cells to 0-cells. We consider this poset to be a generalization of the permutation poset, as for permutations σ and π, if σ ≤ π, then the permutation matrices Mσ and Mπ satisfy Mσ ≤ Mπ. For the dominated scattered containment, we study the values of the M¨obius function on intervals of the form [1, Y ], where 1 is the 1 × 1 matrix consisting of a single 1-cell. We show that the situation when Y contains a zero row or column can be reduced to a situation when Y has no such zero line, that is, Y is a permutation matrix. For a permutation matrix Y , we derived a theorem expressing µ(1, Y ) in terms of the blocks of the sum decomposition of Y .
|
|
|
Foreign Market Entry Strategy of the Chosen Company
Medek, Michal ; Lustig, Petr (oponent) ; Chlebovský, Vít (vedoucí práce)
This master’s thesis is focused on the Czech company JOHNNY SERVIS, s.r.o. and its current intention to enter a foreign market. After mutual discussion, company showed interest in help with this issue and be the subject of this thesis. The company considered more markets as the final destination to enter, but in the end asked to focus this thesis for the entry of German market.
|
|
| |
host ::
RSS.