Exponential-time and subexponential-time sets
نویسندگان
چکیده
منابع مشابه
H-Free Graphs, Independent Sets, and Subexponential-Time Algorithms
It is an old open question in algorithmic graph theory to determine the complexity of the Maximum Independent Set problem on Pt-free graphs, that is, on graphs not containing any induced path on t vertices. So far, polynomial-time algorithms are known only for t ≤ 5 [Lokshtanov et al., SODA 2014, pp. 570–581, 2014]. Here we study the existence of subexponentialtime algorithms for the problem: b...
متن کاملParameterized Complexity and Subexponential Time
Parameterized Complexity in its origins was considered by many researchers to be an exotic research eld, orthogonal to the standard way of classifying problems in complexity theory. In the last years however many surprising connections between Parameterized Complexity and classical areas in complexity theory have been established. Jörg Flum and Martin Grohe survey in this column some of these i...
متن کاملRanking and Drawing in Subexponential Time
In this paper we obtain parameterized subexponential-time algorithms for p-Kemeny Aggregation (p-KAGG) — a problem in social choice theory — and for p-One-Sided Crossing Minimization (p-OSCM) – a problem in graph drawing (see the introduction for definitions). These algorithms run in time O∗(2O( √ k log ), where k is the parameter, and significantly improve the previous best algorithms with run...
متن کاملExponential Time Complexity of Weighted Counting of Independent Sets
We consider weighted counting of independent sets using a rational weight x: Given a graph with n vertices, count its independent sets such that each set of size k contributes xk. This is equivalent to computation of the partition function of the lattice gas with hard-core self-repulsion and hard-core pair interaction. We show the following conditional lower bounds: If counting the satisfying a...
متن کاملOn the Subexponential Time Complexity of CSP
Not all NP-complete problems share the same practical hardness with respect to exact computation. Whereas some NP-complete problems are amenable to efficient computational methods, others are yet to show any such sign. It becomes a major challenge to develop a theoretical framework that is more fine-grained than the theory of NP-completeness, and that can explain the distinction between the exa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1993
ISSN: 0304-3975
DOI: 10.1016/0304-3975(93)90125-d