Foniok, J and Nesetril, J (2008) Splitting finite antichains in the homomorphism order. In: ROGICS'08 Relations, Orders and Graphs: Interaction with Computer Science, 12-17 May 2008, Tunisia.
Available under License : See the attached licence file.
Download (15kB) | Preview
2008-splitting finite antichains in the homomorphism order.pdf
Download (146kB) | Preview
A structural condition is given for finite maximal antichains in the homomorphism order of relational structures to have the splitting property. It turns out that non-splitting antichains appear only at the bottom of the order. Moreover, we examine looseness and finite antichain extension property for some subclasses of the homomorphism poset. Finally, we take a look at cut-points in this order.
|Item Type:||Conference or Workshop Item (Paper)|
|Uncontrolled Keywords:||math.CO, math.CO, 06D05;05C15|
|Divisions:||Faculties > Faculty of Science and Engineering > Department of Computing, Mathematics & Digital Technology|
|Date Deposited:||19 Aug 2016 15:24|
|Last Modified:||22 Aug 2016 14:48|
Actions (login required)