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Polynomial time algorithms for two classes of subgraph problem

Sriraman Sridharan (2008)

RAIRO - Operations Research

We design a O(n3) polynomial time algorithm for finding a (k-1)- regular subgraph in a k-regular graph without any induced star K1,3(claw-free). A polynomial time algorithm for finding a cubic subgraph in a 4-regular locally connected graph is also given. A family of k-regular graphs with an induced star K1,3 (k even, k ≥ 6), not containing any (k-1)-regular subgraph is also constructed.

Polynomial time bounded truth-table reducibilities to padded sets

Vladimír Glasnák (2000)

Commentationes Mathematicae Universitatis Carolinae

We study bounded truth-table reducibilities to sets of small information content called padded (a set is in the class f -PAD of all f -padded sets, if it is a subset of { x 10 f ( | x | ) - | x | - 1 ; x { 0 , 1 } * } ). This is a continuation of the research of reducibilities to sparse and tally sets that were studied in many previous papers (for a good survey see [HOW1]). We show necessary and sufficient conditions to collapse and separate classes of bounded truth-table reducibilities to padded sets. We prove that depending on two properties of a...

Polynomially Bounded Sequences and Polynomial Sequences

Hiroyuki Okazaki, Yuichi Futa (2015)

Formalized Mathematics

In this article, we formalize polynomially bounded sequences that plays an important role in computational complexity theory. Class P is a fundamental computational complexity class that contains all polynomial-time decision problems [11], [12]. It takes polynomially bounded amount of computation time to solve polynomial-time decision problems by the deterministic Turing machine. Moreover we formalize polynomial sequences [5].

Polynomials over the reals in proofs of termination : from theory to practice

Salvador Lucas (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

This paper provides a framework to address termination problems in term rewriting by using orderings induced by algebras over the reals. The generation of such orderings is parameterized by concrete monotonicity requirements which are connected with different classes of termination problems: termination of rewriting, termination of rewriting by using dependency pairs, termination of innermost rewriting, top-termination of infinitary rewriting, termination of context-sensitive rewriting, etc. We...

Polynomials over the reals in proofs of termination : from theory to practice

Salvador Lucas (2010)

RAIRO - Theoretical Informatics and Applications

This paper provides a framework to address termination problems in term rewriting by using orderings induced by algebras over the reals. The generation of such orderings is parameterized by concrete monotonicity requirements which are connected with different classes of termination problems: termination of rewriting, termination of rewriting by using dependency pairs, termination of innermost rewriting, top-termination of infinitary rewriting, termination of context-sensitive rewriting, etc. We...

Positioned agents in eco-grammar systems with border markers and pure regulated grammars

Miroslav Langer, Alica Kelemenová (2012)

Kybernetika

In this paper we follow our previous research in the field of positioned agents in the eco-grammar systems and pure grammars. We extend model of the positioned eco-grammar systems by boundary markers and we introduce bordered positioned eco-grammar systems (BPEG systems, for short) and that way we show one of the possible answers to the question stated in [9]. Namely we compare generative power of the BPEG systems with three types of pure regulated grammars with appearance checking.

Prediction of time series by statistical learning: general losses and fast rates

Pierre Alquier, Xiaoyin Li, Olivier Wintenberger (2013)

Dependence Modeling

We establish rates of convergences in statistical learning for time series forecasting. Using the PAC-Bayesian approach, slow rates of convergence √ d/n for the Gibbs estimator under the absolute loss were given in a previous work [7], where n is the sample size and d the dimension of the set of predictors. Under the same weak dependence conditions, we extend this result to any convex Lipschitz loss function. We also identify a condition on the parameter space that ensures similar rates for the...

Preface

Markus Holzer, Bianca Truthe (2014)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

Prescribed ultrametrics

J. Higgins, D. Campbell (1993)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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