Title
Contiguity Orders
Abstract
This paper is devoted to the study of contiguity orders i.e. orders having a linear extension L such that all upper (or lower) cover sets are intervals of L. This new class appears to be a strict generalization of both interval orders and N-free orders, and is linearly recognizable. It is proved that computing the number of contiguity extensions is #P-complete, and that the dimension of height one contiguity orders is polynomially tractable. Moreover the membership is a comparability invariant on bi-contiguity orders.
Year
DOI
Venue
1995
10.1007/3-540-61576-8_89
Combinatorics and Computer Science
Keywords
DocType
ISBN
Contiguity Orders
Conference
3-540-61576-8
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
Vincent Bouchitté117212.07
Abdelmajid Hilali200.34
Roland Jégou3182.64
Jean-Xavier Rampon48615.03