On computing the number of linear extensions of a tree
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On computing the number of linear extensions of a tree
Assume first that u < u. The members E~?$$,,, _ â) lZik,iO,- i+ , of the spectral sequence with 1
Order
7: 23-25,
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1990.
0 1990 Kluwer Academic Publishers. Printed in the Netherlands.
On Computing the Number of Linear Extensions of a Tree* M. D. ATKINSON School of Computer Science, Carleton University, Ottawa, Canada KlS 586 Communicated by I. Rival (Received: 4 January 1990; accepted: 25 February 1990) Abstract. An algorithm requiring O(n*) arithmetic operations for computing the number of linear extensions of a poset whose covering graph is a tree is given. AMS Key
subject
classificnlio~
(1980).
06A05,
68CO5.
words. Linear extension, tree, covering graph.
Let P be a finite set of n elements on which is defined a partial order
