### Abstract

This paper abstracts the problem of network nodes discovering one another in a network of unknown size using all-to-all gossip. The problem is studied in terms of evolving directed graphs where vertices represent the participating nodes and an edge represents one node's knowledge about another. Ideally, such a graph has diameter one, i.e., each node knows all others. Nodes share their knowledge by sending gossip messages. Gossip among the nodes allows them to discover one another, decreasing the diameter of the graph. Here this problem is considered in several synchronous settings under different assumptions about the ability of the participating nodes to communicate. Specifically, the following aspects of communication are considered: (1) the ability of the nodes to multicast gossip messages, and (2) the size of the messages. The results describe the lower and upper bounds on the number of synchronous rounds required for the participants to discover each other. A particular question of interest is if the network size is unknown, how does a node know that it has discovered all other nodes? Given a weakly-connected graph describing the initial knowledge of the nodes, every node in our algorithm can stop the discovery process knowing that there are no unknown nodes-this is done without any prior knowledge of the total number of nodes participating in the computation.

Original language | English (US) |
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Title of host publication | Principles of Distributed Systems - 9th International Conference, OPODIS 2005, Revised Selected Papers |

Pages | 206-220 |

Number of pages | 15 |

DOIs | |

State | Published - Dec 1 2006 |

Externally published | Yes |

Event | 9th International Conference on Principles of Distributed Systems, OPODIS 2005 - Pisa, Italy Duration: Dec 12 2005 → Dec 14 2005 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 3974 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 9th International Conference on Principles of Distributed Systems, OPODIS 2005 |
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Country | Italy |

City | Pisa |

Period | 12/12/05 → 12/14/05 |

### Fingerprint

### Keywords

- Distributed algorithms
- Resource discovery

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Principles of Distributed Systems - 9th International Conference, OPODIS 2005, Revised Selected Papers*(pp. 206-220). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3974 LNCS). https://doi.org/10.1007/11795490_17

**Node discovery in networks.** / Konwar, Kishori M.; Kowalski, Dariusz; Shvartsman, Alex A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Principles of Distributed Systems - 9th International Conference, OPODIS 2005, Revised Selected Papers.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3974 LNCS, pp. 206-220, 9th International Conference on Principles of Distributed Systems, OPODIS 2005, Pisa, Italy, 12/12/05. https://doi.org/10.1007/11795490_17

}

TY - GEN

T1 - Node discovery in networks

AU - Konwar, Kishori M.

AU - Kowalski, Dariusz

AU - Shvartsman, Alex A.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - This paper abstracts the problem of network nodes discovering one another in a network of unknown size using all-to-all gossip. The problem is studied in terms of evolving directed graphs where vertices represent the participating nodes and an edge represents one node's knowledge about another. Ideally, such a graph has diameter one, i.e., each node knows all others. Nodes share their knowledge by sending gossip messages. Gossip among the nodes allows them to discover one another, decreasing the diameter of the graph. Here this problem is considered in several synchronous settings under different assumptions about the ability of the participating nodes to communicate. Specifically, the following aspects of communication are considered: (1) the ability of the nodes to multicast gossip messages, and (2) the size of the messages. The results describe the lower and upper bounds on the number of synchronous rounds required for the participants to discover each other. A particular question of interest is if the network size is unknown, how does a node know that it has discovered all other nodes? Given a weakly-connected graph describing the initial knowledge of the nodes, every node in our algorithm can stop the discovery process knowing that there are no unknown nodes-this is done without any prior knowledge of the total number of nodes participating in the computation.

AB - This paper abstracts the problem of network nodes discovering one another in a network of unknown size using all-to-all gossip. The problem is studied in terms of evolving directed graphs where vertices represent the participating nodes and an edge represents one node's knowledge about another. Ideally, such a graph has diameter one, i.e., each node knows all others. Nodes share their knowledge by sending gossip messages. Gossip among the nodes allows them to discover one another, decreasing the diameter of the graph. Here this problem is considered in several synchronous settings under different assumptions about the ability of the participating nodes to communicate. Specifically, the following aspects of communication are considered: (1) the ability of the nodes to multicast gossip messages, and (2) the size of the messages. The results describe the lower and upper bounds on the number of synchronous rounds required for the participants to discover each other. A particular question of interest is if the network size is unknown, how does a node know that it has discovered all other nodes? Given a weakly-connected graph describing the initial knowledge of the nodes, every node in our algorithm can stop the discovery process knowing that there are no unknown nodes-this is done without any prior knowledge of the total number of nodes participating in the computation.

KW - Distributed algorithms

KW - Resource discovery

UR - http://www.scopus.com/inward/record.url?scp=84870809859&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870809859&partnerID=8YFLogxK

U2 - 10.1007/11795490_17

DO - 10.1007/11795490_17

M3 - Conference contribution

AN - SCOPUS:84870809859

SN - 3540363211

SN - 9783540363217

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 206

EP - 220

BT - Principles of Distributed Systems - 9th International Conference, OPODIS 2005, Revised Selected Papers

ER -