
Structural Information and Communication Complexity
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Content
- Title Page
- Preface
- Organization
- Table of Contents
- Space Lower Bounds for Low-Stretch Greedy Embeddings
- Introduction
- Hard Crossroads
- A Lower Bound Based on High-Girth Graphs
- A Lower Bound for the Embedding of Flury et al.
- Concluding Remarks
- References
- The Fault Tolerant Capacitated k-Center Problem
- Introduction
- High Level Structure of the Algorithm
- Constant Approximation for the -FT-CKC Problem
- Constant Approximation for the -FT-CCKC Problem
- References
- Notions of Connectivity in Overlay Networks
- Introduction
- Background and Motivation
- The Deep Connectivity Model
- Contribution
- Hardness of Approximation
- Efficient Algorithm for FDC
- Sparsest 2-ERDC Overlay Graphs
- Hardness
- Constructing Sparse 2-ERDC Overlay Graphs
- References
- Changing of the Guards: Strip Cover with Duty Cycling
- Introduction
- Preliminaries
- Strip Cover with Shifts of Size 2
- Round Robin vs. All
- Stretching the Instance
- Perfect Deployment Is the Worst
- Properties of $\gamma*k$
- Strip Cover with Shifts of Size $ k$
- Discussion and Open Problems
- References
- Deterministic Local Algorithms, Unique Identifiers, and Fractional Graph Colouring
- Introduction
- Local Algorithms and Numerical Identifiers
- Contributions
- Comparison with Other Graph Problems
- Fractional Graph Colouring
- Model of Distributed Computing
- Main Results
- Proof of Theorem 1
- Preliminaries
- Communication
- Scheduling Colours
- Coordinates
- First Fragment of the Schedule
- Complete Schedule
- Proof of Theorem 2
- Discussion
- References
- An Algorithm for Online Facility Leasing
- Introduction
- Problem Definition and Notation
- Reduction to a Simplified Model Variant
- Algorithm Description
- Analysis
- Conclusion and Future Work
- References
- Agreement in Directed Dynamic Networks
- Introduction
- Model and Preliminaries
- Required Connectivity Properties
- Solving Consensus by Network Approximation
- Impossibilities and Lower Bounds
- Conclusion
- References
- Bounding Interference in Wireless Ad Hoc Networks with Nodes in Random Position
- Introduction
- Motivation
- Model and Definitions
- Related Work
- Bounds
- Generalizing One-Dimensional Solutions
- Randomized Point Sets
- Mobility
- Local Algorithm
- Simulation
- Discussion
- References
- Strong Connectivity of Sensor Networks with Double Antennae
- Introduction
- Notation
- Related Work
- Results of the Paper
- Lower Bounds
- Covering Neighbors in MST with Double Antennae
- Connectivity with Optimal Range
- Stretch Factor
- Conclusion
- References
- Distributed Multiple-Message Broadcastin Wireless Ad-Hoc Network sunder the SINR Model
- Introduction
- Related Work
- Network Model and Problem Definitions
- Algorithm
- Algorithm Description
- Analysis
- Lower Bound
- Conclusion
- References
- Wireless Network Stability in the SINR Model
- Introduction
- Model and Preliminaries
- Results and Related Work
- Main Algorithm
- The Scheduling Algorithm
- Implications for the Power Control Problem
- Distributed Implementation
- Extensions and Simulations
- References
- What Can Be Computed without Communications?
- Introduction
- Context and Objective
- Our Results
- Equivalence Classes of Games
- On the Power of Quantum Correlations
- Open Problem
- References
- On Bidimensional Congestion Games
- Introduction
- Model, Definitions and Numerical Lemmas
- Bounds for the Price of Anarchy
- Bounds for the Price of Stability
- References
- Mobile Network Creation Games
- Introduction
- Model and Preliminaries
- Nash Equilibria: Existence and Convergence
- Price of Anarchy
- Extensions and Conclusions
- References
- Homonyms with Forgeable Identifiers
- Introduction
- Model and Definitions
- Impossibility Result
- Authenticated Broadcast
- Byzantine Agreement Algorithms
- Authentication
- Related Works and Perspectives
- References
- Asynchrony and Collusion in the N-party BAR Transfer Problem
- Introduction
- System Model
- NBART Problem
- Asynchronous NBART
- Overview of the Algorithm
- Algorithm in Depth
- Game Theoretic Analysis
- Definitions
- Expected Utility and Solution Concept
- Tolerance to Collusion
- References
- Early Deciding Synchronous Renaming in O(log f) Rounds or Less
- Introduction
- Model and Problem Statement
- Related Work
- A Tight Renaming Algorithm
- A Loose Renaming Algorithm with Improved Round Complexity
- Discussion
- References
- On Snapshots and Stable Properties Detection in Anonymous Fully Distributed Systems
- Introduction
- The Chandy-Lamport Snapshot Algorithm
- Termination Detection of the Chandy-Lamport Snapshot Algorithm
- An Algorithm to Detect Termination of the Local Snapshots Computation
- Two Applications: ``Checkpoint and Rollback Recovery'' and ``Termination Detection''
- Coverings, Stable Properties and Weak Snapshots
- References
- Self-stabilizing (k,r)-Clustering in Clock Rate-Limited Systems
- Introduction
- System Settings
- Self-stabilizing Algorithm for (k,r)-Clustering
- Correctness
- Basic Properties
- Getting Enough Cluster Heads
- Convergence to a Local Minimum
- Discussion
- Conclusions
- References
- Increasing the Power of the Iterated Immediate Snapshot Model with Failure Detectors
- Introduction
- Base Definitions
- Strongly Correct Processes (wrt the IIS Model)
- From IISn[C*] to ARWn[C]
- Description of the Simulation
- From Strongly Correct Simulators to Correct Simulated Processes
- From ARWn[C] to IISn[C*]
- Description of the Simulation
- Instantiating the Simulation
- From Wait-Freedom to t-Resilience
- References
- Improved Approximation for Orienting Mixed Graphs
- Introduction
- Previous Work
- Our Results
- From Local to Global Orientations
- Improved Approximation for the General Case
- Other Orientation Variants
- Orientation with Fixed Paths
- Orientation in Grid Networks
- References
- Analysis of Random Walks Using Tabu Lists
- Introduction
- Tabu Random Walks and Update Rules
- Tabu Random Walks
- Update Rules
- Examples of Update Rules
- Finite Mean Hitting Times
- Optimal Update Rule for m-Free Graphs
- Impact of the Length of the Update Rules
- Conclusion and Perspectives
- References
- Online Graph Exploration with Advice
- Introduction
- Lower Bounds
- Advice Size for Optimal Solution
- Lower Bound for the Case of No Advice
- Upper Bounds
- Conclusion
- References
- Asynchronous Exploration of an Unknown Anonymous Dangerous Graph with O(1)Pebbles
- Introduction
- Definitions and Basic Constraints
- Impossibilities and Lower Bounds
- Possibility and Upper Bounds
- Communication and Coordination Using Tokens
- Black Hole Search
- Correctness and Complexity
- References
- Time of Anonymous Rendezvous in Trees: Determinism vs. Randomization
- Introduction
- Framework and Preliminaries
- Time of Deterministic Rendezvous
- Time of Randomized Rendezvous
- References
- Randomized Rendezvous of Mobile Agents in Anonymous Unidirectional Ring Networks
- Introduction
- Preliminaries
- Impossibility Results
- Impossibility of Rendezvous with Detection
- Impossibility of Rendezvous without Detection
- A Randomized Algorithm for Rendezvous without Detection
- Conclusion
- References
- Getting Close without Touching
- Introduction
- The Model
- Notation
- The Near-Gathering Problem and Its Solution
- Correctness
- Preliminary Definitions and Observations
- Preservation of Mutual Awareness
- Collision Avoidance
- Termination
- On the Knowledge of n
- Conclusions
- References
- Gathering of Robots on Anonymous Gridswi thout Multiplicity Detection
- Introduction
- Definitions and Notation
- Gathering Algorithms
- Oddodd Grids
- Oddeven Grids
- Eveneven Grids
- Conclusion
- References
- Author Index
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