Stack and Queue Layouts of Posets
1992) Stack and Queue Layouts of Posets. Technical Report TR-92-31, Computer Science, Virginia Polytechnic Institute and State University. (
The stacknumber (queuenumber) of a poset is defined as the stacknumber (queuenumber) of its Hasse diagram viewed as a directed acyclic graph. Upper bounds on the queuenumber of a poset are derived in terms of its jumpnumber, its length, its width, and the queuenumber of its covering graph. A lower bound of is shown for the queuenumber of the class of planar posets. The queuenumber of a planar poset is shown to be within a small constant factor of its width. The stacknumber of posets with planar covering graphs is shown to be . These results exhibit sharp differences between the stacknumber and queuenumber of posets as well as between the stacknumber (queuenumber) of a poset and the stacknumber (queuenumber) of its covering graph.
|Item Type:||Departmental Technical Report|
|Subjects:||Computer Science > Historical Collection(Till Dec 2001)|
|Deposited By:||User autouser|
|Deposited On:||05 December 2001|