
Structural Information and Communication Complexity
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Content
- Title
- Preface
- Conference Organization
- Table of Contents
- Invited Talks
- Random Walks, Interacting Particles, Dynamic Networks: Randomness Can Be Helpful
- Introduction
- Terminology
- Speeding Up Random Walks
- Multiple and Interacting Particles
- Coalescing Particle Systems
- Searching Dynamic Graphs
- References
- SINR Maps: Properties and Applications
- References
- Survey Talk
- A Survey on Some Recent Advances in Shared Memory Models
- Introduction
- What Is a Task?
- Base Shared Memory Model
- The Iterated Write-Snapshot Model
- The Iterated Write-Snapshot Model
- A Mathematical View
- A Recursive Write-Snapshot Algorithm
- Enriching a System with a Failure Detector
- From the Wait-Free Model to the Adversary Model
- Adversary Models vs. Wait-Free Model: The BG Simulation
- Conclusion
- References
- Fault Tolerance
- Consensus vs. Broadcast in Communication Networks with Arbitrary Mobile Omission Faults
- Introduction
- Definitions and Notation
- TheProblems
- Broadcastability
- Proof of Main Theorem
- Solvability of Consensus vs. Broadcast
- Conclusion
- References
- Reconciling Fault-Tolerant Distributed Algorithms and Real-Time Computing (Extended Abstract)
- Introduction
- SystemModels
- Failures and Admissibility
- State Transition Traces
- Transformation Real-Time to Classic Model
- Transformation Classic to Real-Time Model
- Example: The Byzantine Generals
- Conclusions
- References
- Self-stabilizing Hierarchical Construction of Bounded Size Clusters
- Introduction
- Preliminaries
- Problem Specification
- Basic Idea of Our Solution
- Cluster Construction
- Construction of the Cluster Tree
- Conclusion
- References
- The Universe of Symmetry Breaking Tasks
- Introduction
- Computation Model
- Decision Tasks
- The Family of Generalized Symmetry Breaking (GSB) Tasks
- Definition and Basic Properties
- Instances of Generalized Symmetry Breaking Tasks
- The Structure of Symmetric GSB Tasks
- The Structural Results
- Complexity and Computability
- Hardest GSB Tasks: Universality of the "426830A n,n,1,1"526930B -GSB Task
- Easiest GSB Tasks: Solvability of GSB Tasks with No Communication
- Hierarchy Results, GSB Tasks of Intermediate Difficulty
- From a Slot Task to a Renaming Task
- To Conclude: A Few GSB-Related Open Problems
- References
- Routing
- Determining the Conditional Diagnosability of k-Ary n-Cubes Under the MM* Model
- Introduction
- Preliminaries
- Properties of k-Ary n-Cubes
- MainResults
- Concluding Remarks
- References
- Medium Access Control for Adversarial Channels with Jamming
- Introduction
- Preliminaries
- Properties of k-Ary n-Cubes
- Main Results
- Concluding Remarks
- References
- Full Reversal Routing as a Linear Dynamical System
- Introduction
- Preliminaries
- Notation and Definitions
- The Full Reversal Algorithm
- Complexity Measures
- Full Reversal as a Linear Dynamical System
- Interleaving of FR Steps
- Work Vector of Greedy FR Executions
- Dynamical Systems and Graph Properties
- Work Complexity
- Time Complexity
- Applications
- Time Complexity Bounds on Trees
- Generalization
- Discussion
- References
- Partial is Full
- Introduction
- Preliminaries
- The LR Algorithm
- Complexity Measures
- The FR Executions
- Reduction to FR Executions
- The Graph Transformation
- Dynamics in LR Executions
- The Routing Failure
- Application
- The Acyclicity Issue
- Exact Complexity of the LR Algorithm
- Conclusions
- References
- Mobile Agents/Robots (I)
- Convergence with Limited Visibility by Asynchronous Mobile Robots
- Introduction
- Model and Definitions
- Connectivity Preservation with 1-Bounded Asynchrony
- Connectivity Invariant
- Invariant Preservation
- Move Toward
- Move Around
- Algorithm
- Algorithm with Unlimited Visibility
- Convergence
- Conclusions and Open Questions
- References
- Energy-Efficient Strategies for Building Short Chains of Mobile Robots Locally
- Introduction
- Problem Description, Model and Notation
- The -Bounded Go-To-The-Middle Strategy
- The Worst-Case Number of Rounds
- Maximum Distance Traveled by a Robot
- The Continuous Go-To-The-Middle Strategy
- Conclusion and Outlook
- References
- Asynchronous Mobile Robot Gathering from Symmetric Configurations without Global Multiplicity Detection
- Introduction
- Preliminaries
- Algorithm
- First Phase: An Algorithm to Construct a Single 1.Block
- Second Phase: An Algorithm to Achieve the Gathering
- Concluding Remarks
- References
- Mobile Agents/Robots (II)
- Gathering Asynchronous Oblivious Agents with Local Vision in Regular Bipartite Graphs
- Introduction
- Our Results
- Discussion of Assumptions
- Related Work
- Terminology and Preliminaries
- The Impossibility Result
- The Algorithm
- References
- Gathering of Six Robots on Anonymous Symmetric Rings
- Introduction
- Related Work and Our Results
- Definitions and Notation
- Resolution Algorithm
- General Case
- Multiplicities and Seven Nodes Case
- Correctness for the General Algorithm
- Conclusion
- References
- Tight Bounds for Scattered Black Hole Search in a Ring
- Introduction
- Our Model
- Impossibility Results
- A BHS Scheme with Movable Tokens
- BHS Schemes with Unmovable Tokens
- Oriented Rings
- Unoriented Rings
- Conclusions
- References
- Improving the Optimal Bounds for Black Hole Search in Rings
- Introduction
- The Problem
- Main Contributions
- Related Work
- Definitions and Basic Techniques
- Exact Bounds on Cost of Black Hole Search
- Improved Lower Bound
- Matching Upper Bound
- Optimizing Also Ideal Time
- References
- Probabilistic Methods
- The Cover Times of Random Walks on Hypergraphs
- Introduction
- Proof of Theorem 1
- Proof of Theorem 2: Preliminaries
- Random Walk Background
- Tree-Like Vertices
- Construction of an Equivalent (Contracted) Graph
- Conditions and Parameters for Lemma 2
- Proof of Theorem 2: Estimate the Cover Time C(H)
- Upper Bound on the Cover Time C(H)
- Lower Bound on the Cover Time C(H)
- Proof of Theorem 2: Estimate I(H) and CE(H)
- References
- Routing in Carrier-Based Mobile Networks
- Introduction
- Model
- Optimal Algorithm
- Competitive Analysis
- Conclusions and Future Work
- References
- On the Performance of a Retransmission-Based Synchronizer
- Introduction
- Retransmitting under Probabilistic Message Loss
- Calculating the Expected Round Duration
- Round Durations as a Markov Chain
- Using (r) to Compute
- Results
- Rate of Convergence
- Simulations
- Related Work
- References
- Distributed Algorithms on Graphs
- Distributed Coloring Depending on the Chromatic Number or the Neighborhood Growth
- Introduction
- Model and Definitions
- Related Work
- Deterministic Coloring
- Coloring Depending on the Chromatic Number
- Conclusion
- References
- Multiparty Equality Function Computation in Networks with Point-to-Point Links
- Introduction
- Related Work
- Models and Problem Definition
- Communication Model
- Protocol
- Problem Definitions
- Upper Bound of the Complexity
- Equivalent MEQ-AD Protocols
- MEQ-AD(3,6)
- Edge Coloring Representation of MEQ-AD(3,K)
- MEQ-AD(3,2k)
- About MEQ-CD
- MEQ Problem with Larger n
- Conclusion
- References
- Network Verification via Routing Table Queries
- Introduction
- Basic Definitions
- The Routing-Table Query Model
- Lower Bounds on the Size of Feasible Solutions
- Verifying Graphs of Diameter 2
- Optimal Algorithms for Classical Topologies
- Paths
- Trees
- Conclusions
- References
- Social Context Congestion Games
- Introduction
- Model and Definitions
- Results for the Class SCSG(G,f)
- Results for the Class SCLCG(G,f)
- Results for the Class SCSCG(G,f)
- Conclusions
- References
- Ad-hoc Networks
- Network Synchronization and Localization Based on Stolen Signals
- Introduction
- Related Work
- Estimating Distances
- Centralized Localization and Synchronization
- Outlook
- References
- Optimal Time Data Gathering in Wireless Networks with Omni-Directional Antennas
- Introduction
- The Model
- Our Results and Related Work
- Scheduling in Trees
- Trees with Non-zero Node Weights
- Trees with General Weight Distribution
- General Topologies
- The Approximation Algorithm
- Complexity Results
- References
- Author Index
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