6 research outputs found
Search-Space Reduction via Essential Vertices
We investigate preprocessing for vertex-subset problems on graphs. While the notion of kernelization, originating in parameterized complexity theory, is a formalization of provably effective preprocessing aimed at reducing the total instance size, our focus is on finding a non-empty vertex set that belongs to an optimal solution. This decreases the size of the remaining part of the solution which still has to be found, and therefore shrinks the search space of fixed-parameter tractable algorithms for parameterizations based on the solution size. We introduce the notion of a c-essential vertex as one that is contained in all c-approximate solutions. For several classic combinatorial problems such as Odd Cycle Transversal and Directed Feedback Vertex Set, we show that under mild conditions a polynomial-time preprocessing algorithm can find a subset of an optimal solution that contains all 2-essential vertices, by exploiting packing/covering duality. This leads to FPT algorithms to solve these problems where the exponential term in the running time depends only on the number of non-essential vertices in the solution
Recent Advances in Fully Dynamic Graph Algorithms
In recent years, significant advances have been made in the design and
analysis of fully dynamic algorithms. However, these theoretical results have
received very little attention from the practical perspective. Few of the
algorithms are implemented and tested on real datasets, and their practical
potential is far from understood. Here, we present a quick reference guide to
recent engineering and theory results in the area of fully dynamic graph
algorithms
Scalable String and Suffix Sorting: Algorithms, Techniques, and Tools
This dissertation focuses on two fundamental sorting problems: string sorting
and suffix sorting. The first part considers parallel string sorting on
shared-memory multi-core machines, the second part external memory suffix
sorting using the induced sorting principle, and the third part distributed
external memory suffix sorting with a new distributed algorithmic big data
framework named Thrill.Comment: 396 pages, dissertation, Karlsruher Instituts f\"ur Technologie
(2018). arXiv admin note: text overlap with arXiv:1101.3448 by other author
LIPIcs, Volume 244, ESA 2022, Complete Volume
LIPIcs, Volume 244, ESA 2022, Complete Volum
Dienstekomposition in intelligenten Umgebungen basierend auf KI-Planung
In intelligenten Umgebungen wird das Zusammenspiel mehrerer Dienste benötigt, welches durch eine Dienstekomposition erzielt werden kann. KIPlanung ist eine Methode, dies umzusetzen. Im Rahmen der vorliegenden Arbeit wurde experimentell das Laufzeitverhalten von verschiedenen Planern untersucht. Daneben wurden die Möglichkeiten der Modellierung von Problemen der Dienstekomposition evaluiert, was zu einer Richtline für die verteilte Modellierung von Dienstbeschreibungen führte. Basierend auf den Erfahrungen wurde ein Composer entworfen und umgesetzt, der verschiedene Planer nutzen kann
Handbook of Lexical Functional Grammar
Lexical Functional Grammar (LFG) is a nontransformational theory of
linguistic structure, first developed in the 1970s by Joan Bresnan and
Ronald M. Kaplan, which assumes that language is best described and
modeled by parallel structures representing different facets of
linguistic organization and information, related by means of
functional correspondences. This volume has five parts. Part I,
Overview and Introduction, provides an introduction to core syntactic
concepts and representations. Part II, Grammatical Phenomena, reviews
LFG work on a range of grammatical phenomena or constructions. Part
III, Grammatical modules and interfaces, provides an overview of LFG
work on semantics, argument structure, prosody, information structure,
and morphology. Part IV, Linguistic disciplines, reviews LFG work in
the disciplines of historical linguistics, learnability,
psycholinguistics, and second language learning. Part V, Formal and
computational issues and applications, provides an overview of
computational and formal properties of the theory, implementations,
and computational work on parsing, translation, grammar induction, and
treebanks. Part VI, Language families and regions, reviews LFG work
on languages spoken in particular geographical areas or in particular
language families. The final section, Comparing LFG with other
linguistic theories, discusses LFG work in relation to other
theoretical approaches