
Computer Science -- Theory and Applications
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Content
- Title Page
- Preface
- Organization
- Table of Contents
- Opening Talk
- Can the Theory of Algorithms Ratify the ``Invisible Hand of the Market''?
- Introduction
- References
- Full Papers
- Resilient Quicksort and Selection
- Introduction
- Preliminaries
- Previous Work
- Our Contribution
- Randomized Sorting
- Resilient Selection
- Deterministic Sorting
- References
- General Quantitative Specification Theories with Modalities
- Introduction
- Structured Modal Transition Systems
- Refinement Distances
- Structural Composition and Quotient
- Conjunction
- Conclusion
- References
- The Complexity of Intersecting Finite Automata Having Few Final States
- Introduction
- Our Contribution
- Preliminaries
- Basic Definitions and Notation
- Problems
- Groups and Abelian Groups
- Some Observations on Commutative Monoids
- Conclusion and Further Work
- News about Semiantichains and Unichain Coverings
- Introduction
- Constructions
- A Bad Example
- Checking Tests for Read-Once Functions over Arbitrary Bases
- Introduction
- Background and Related Work
- Basic Definitions
- The Relevance Hypercube Method
- Assumptions and Notation
- Some Observations
- Auxiliary Lemmas
- Main Theorem
- Discussion
- Approximating Minimum Power Edge-Multi-Covers
- Introduction
- Motivation and Problems Considered
- Our Results
- Overview of the Techniques
- Proof of Theorem 1
- Reduction to Bipartite Graphs
- An O(logk)-Approximation Algorithm for General Costs
- A Constant Ratio Approximation Algorithm for Unit Costs
- Proof of Theorem 2
- Conclusions and Open Problems
- A Lower Bound on Circuit Complexity of Vector Function in U2
- Introduction
- New Lower Bound
- Computing All MOD-Functions Simultaneously
- Introduction
- Preparations
- Basic Facts from Number Theory
- Encodings
- Building Blocks
- Upper Bounds
- C(ALLMODrn) = O(n)
- C(ALLMODr1, ., rnn) = O(n loglogn)
- Further Directions
- Bounded Synchronization Delay in Omega-Rational Expressions
- Introduction
- Preliminaries
- Local Divisors
- Schützenberger's Class SD
- SD Equals AP
- Finitely Many c
- Infinitely Many c
- SD= AP Implies SF= AP
- Towards Optimal Degree-Distributions for Left-Perfect Matchings in Random Bipartite Graphs
- Introduction
- Motivation and Related Work
- Results
- Optimality of Concentration in a Unit Length Interval
- Average Degrees of Different Nodes are Close
- Optimal Distributions Use Only Two Neighboring Degrees
- A Conjecture: Essentially Two Different Strategies
- Conclusion
- Robust Sensor Range for Constructing Strongly Connected Spanning Digraphs in UDGs
- Introduction
- Related Work
- Results and Outline of the Paper
- Robustness of Unit Disk Graphs
- Efficiently Computing Weak t-Robustness
- Digraph with Max Out-Degree Four
- Digraph with Max Out-Degree Three
- Conclusion
- Worst-Case Optimal Priority Queues via Extended Regular Counters
- Introduction
- Description of the Data Structure
- Priority-Queue Operations
- Violation Reductions
- Extended Regular Binary Counters
- Conclusions
- The Complexity of Minor-Ancestral Graph Properties with Forbidden Pairs
- Introduction
- Main Result
- Discussion
- Deciding Membership in co-FSP
- Forbidden Edge Pairs
- Fixed Parameter Tractability
- Conclusions
- Satisfiability Thresholds beyond k-XORSAT
- Introduction
- Contribution
- Motivation
- Notation and Basics for the12mumod3-Case
- Structure of the Proof of Theorem 5
- Structure of the Proof of Theorem 9
- Uniquely Extendible Constraints
- Finding Vertex-Surjective Graph Homomorphisms
- Introduction
- Definitions and Preliminaries
- Hard Cases
- Tractable Cases
- Conclusions
- Broadcast Domination on Block Graphs in Linear Time
- Introduction
- Definitions and Notation
- General Properties of Dominating Broadcasts
- Structural Properties of Dominating Broadcasts on Block Graphs
- Algorithmic Properties of Dominating Broadcasts on Block Graphs
- A Linear-time Algorithm for Optimal Broadcasts on Block Graphs
- Concluding Remarks
- Characterizing Certain Topological Specifications
- Introduction
- The Languages We Consider
- Saturation
- Bisimulations
- The Characterization Theorem
- Concluding Remarks
- Descriptional Complexity of Operations on Alternating and Boolean Automata
- Introduction
- Preliminaries
- Optimal Simulation of AFAs by NFAs
- Boolean and Alternating State Complexity of Basic Regular Operations
- Conclusions
- Consistency of Multidimensional Combinatorial Substitutions
- Introduction
- Definitions
- Undecidability Results
- Undecidability of Consistency
- Undecidability of Overlapping
- Decidability Results
- Decidability of Consistency for Domino-Complete Substitutions
- Decidability of Overlapping for Consistent Domino-Complete Substitutions
- Conclusion and Open Problems
- Two-Way Automata Characterizations of L/poly versus NL
- Introduction
- Preparation
- Automata
- Problems
- Transducers, Reductions, and Completeness
- Closures
- Characterizations and Conjectures
- Conclusion
- Cutting through Regular Post Embedding Problems
- Introduction
- Basic Notation and Definitions
- Deciding PEP partialdir, or PEP with Partial Directness
- Counting the Number of Solutions
- Universal Variants of PEP partialdir
- Undecidability for PEP co&dir and Other Extensions
- Concluding Remarks
- On the Advice Complexity of the Set Cover Problem
- Introduction and Preliminaries
- Bounds Measured in the Size of X
- Bounds Measured in the Size of S
- Conclusion
- Constraint Satisfaction with Counting Quantifiers
- Introduction
- Preliminaries
- Game Characterisation
- Complexity of a Single Quantifier
- Counting Quantifiers on Cliques and Cycles
- Cliques: Proof of Theorem 1
- Cycles: Proof of Theorem 2
- Extensions of the CSP
- Bipartite Graphs
- The Complexity of QCSP(C*4)
- Conclusion
- Space-Bounded Kolmogorov Extractors
- Introduction
- Preliminaries
- Kolmogorov Complexity
- Extractors
- Balanced Tables
- Nisan-Wigderson Generators
- Constant-depth Circuits for Approximate Counting
- Main Result
- Overview
- Proof Idea
- Derandomization Plan
- The Weakening of Balancing Conditions
- Existence of Balanced Tables in the Output of the NW-generator
- Searching for a Good Seed
- Completion of the Proof
- Some Results on more Flexible Versions of Graph Motif
- Introduction
- Maximizing the Solution Size
- Minimizing the Number of Substitutions
- Using Modularity
- Definitions and Properties
- When Modules Join Graph Motif
- Difficulty of the Problem
- Algorithms for the Decision Problem
- Open Problems
- A Characterization of Cellular Automata Generated by Idempotents on the Full Shift
- Introduction
- Definitions and Useful Lemmas
- Cellular Automata Generated by Idempotents on the Full Shift
- Forbidding a Word from the Input: E
- Encoding Aperiodic Parts and Memorizing Periodic Parts: A
- Periodic Subwords of Small Enough Period: P
- The Final Touch: F
- Examples and Decidability Questions
- Examples
- Decidability Questions
- Constructing Polynomials for Functions over Residue Rings Modulo a Composite Number in Linear Time
- Introduction
- Concepts
- On Some Characteristics of Monomials
- Canonical form of Polynomials
- Checking Algorithm of Polynomiality for Functions
- Boolean Composition of Visual Secret Sharing Schemes
- Introduction
- Definitions, Notations and Facts
- Visual Secret Sharing Schemes
- Contrast as Objective Function in a Linear Program
- The Composition of Two Access Structures
- Conjunction of Two Threshold-Schemes
- Proof of Claim 1
- Proof of Claim 2
- Author Index
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