We study the variant of the well-known stable roommates problem in which participants are permitted to express ties in their preference lists. In this setting, more than one definition of stability is possible. Here we consider two of these stability criteria, so-called super-stability and weak stab
An efficient algorithm for the “stable roommates” problem
✍ Scribed by Robert W Irving
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 938 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In a recent paper, Weems introduced the bistable matching problem, and asked if a polynomial-time algorithm exists to decide the feasibility of the bistable roommates problem. We resolve this question in the affirmative using linear programming. In addition, we show that several (old and new) result
Given a univariate polynomial f (z) of degree n with complex coefficients, whose norms are less than 2 m in magnitude, the root problem is to find all the roots of f (z) up to specified precision 2 ϪȐ . Assuming the arithmetic model for computation, we provide an algorithm which has complexity O(n l