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» Cover-Incomparability Graphs of Posets
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SIAMDM
2011
13 years 2 months ago
Stable Roommates Matchings, Mirror Posets, Median Graphs, and the Local/Global Median Phenomenon in Stable Matchings
For stable marriage (SM) and solvable stable roommates (SR) instances, it is known that there are stable matchings that assign each participant to his or her (lower/upper) median ...
Christine T. Cheng, Anhua Lin
ORDER
2011
13 years 2 months ago
Strict Betweennesses Induced by Posets as well as by Graphs
For a finite poset P = (V, ≤), let Bs(P) consist of all triples (x, y, z) ∈ V 3 such that either x < y < z or z < y < x. Similarly, for every finite, simple, and...
Dieter Rautenbach, Philipp Matthias Schäfer
ICALP
2011
Springer
12 years 11 months ago
Steiner Transitive-Closure Spanners of Low-Dimensional Posets
Given a directed graph G = (V, E) and an integer k ≥ 1, a Steiner k-transitive-closure-spanner (Steiner k-TC-spanner) of G is a directed graph H = (VH , EH ) such that (1) V ⊆ ...
Piotr Berman, Arnab Bhattacharyya, Elena Grigoresc...
CORR
2010
Springer
145views Education» more  CORR 2010»
13 years 8 months ago
CAT-generation of ideals
We consider the problem of generating all ideals of a poset. It is a long standing open problem, whether or not the ideals of any poset can be generated in constant amortized time...
Torsten Ueckerdt
CAP
2010
13 years 2 months ago
Parallel computation of the minimal elements of a poset
Computing the minimal elements of a partially ordered finite set (poset) is a fundamental problem in combinatorics with numerous applications such as polynomial expression optimiz...
Charles E. Leiserson, Marc Moreno Maza, Liyun Li, ...