# Distance-k Information in Self-stabilizing Algorithms

@inproceedings{Goddard2006DistancekII, title={Distance-k Information in Self-stabilizing Algorithms}, author={Wayne Goddard and Stephen T. Hedetniemi and David Pokrass Jacobs and Vilmar Trevisan}, booktitle={SIROCCO}, year={2006} }

Many graph problems seem to require knowledge that extends beyond the immediate neighbors of a node. The usual self-stabilizing model only allows for nodes to make decisions based on the states of their immediate neighbors. We provide a general polynomial transformation for constructing self-stabilizing algorithms which utilize distance-shape k knowledge, with a slowdown of nO(log k). Our main application is a polynomial-time self-stabilizing algorithm for finding maximal irredundant sets, a…

## 14 Citations

### Distance- k knowledge in self-stabilizing algorithms

- Computer Science, MathematicsTheor. Comput. Sci.
- 2008

### A Memory Efficient Self-stabilizing Algorithm for Maximal k -Packing

- Computer ScienceSSS
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This paper presents a self-stabilizing algorithm for computing a maximal k-packing in a general graph that improves the memory requirement compared to the previous most memory efficient algorithm which used k variables per node.

### An efficient self-stabilizing distance-2 coloring algorithm

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### A self-stabilizing algorithm for optimally efficient sets in graphs

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### The South Zone: Distributed Algorithms for Alliances

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Novel results on and efficient deterministic as well as randomized synchronous message-passing distributed algorithms for generalized graph alliances, a new concept incorporating and expanding previous ones, interested in finding minimal alliances of generalized type.

### On self-stabilization of multi point relays for connected dominating set in adhoc networks

- Computer ScienceTENCON 2009 - 2009 IEEE Region 10 Conference
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This work introduces a reverse selection heuristics and provided self-stabilization(SS) to MPR-based CDS algorithm and provides tolerance to SS-MPR-CDS based virtual backbone from transient changes in topology.

### Self-stabilizing philosophers with generic conflicts

- Computer ScienceTAAS
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This work presents a self-stabilizing deterministic algorithm—GDP that solves the classic dining philosophers problem and extends the algorithm to handle a similarly generalized drinking philosophers and the committee coordination problem.

### Conflict Managers for Self-stabilization without Fairness Assumption

- Computer Science27th International Conference on Distributed Computing Systems (ICDCS '07)
- 2007

It is argued that conflict managers are a useful mechanism to transform a large class of self-stabilizing algorithms that operate in an essentially sequential model, into self-Stabilizing algorithm that operation in a completely asynchronous distributed model.

### Self-stabilizing wavelets and ϱ-hops coordination

- Computer Science2008 IEEE International Symposium on Parallel and Distributed Processing
- 2008

This paper proposes a self-stabilizing sigma-barrier synchronization protocol based on the wavelet scheme and shows that the protocol provides an efficient device in the design of local coordination problems at distance sigma, such as the s Sigma-local resource allocation (LRA).

### Location Updates of Mobile Node in Wireless Sensor Networks

- Computer Science2009 Fifth International Conference on Mobile Ad-hoc and Sensor Networks
- 2009

The simulation shows that the weighted CDS method for mobile-nodes achieve 40\% reduction in location maintenance using to shortest-hop path in CDS.

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