Forbidden Minor Characterizations For 4-Searchable Graphs

Project Information

FORMI 4-SEG

Grant agreement ID: 268322

Project closed

Start date 1 September 2011

End date 31 August 2014

Funded under

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 75 000,00

EU contribution € 75 000,00

Coordinated by

KADIR HAS UNIVERSITESI
Türkiye

Objective

Edge searching is a pursuit evasion game played on graphs. In the past two decades there has been fundamental work devoted to this topic by scientists in many diverse fields due to its highly interdisciplinary nature. We consider the problem of constructing a search plan in order to find a person lost in a system of caves which can be represented as a graph G. Equivalently, we aim to clean a network of tunnels filled with noxious gas using as few cleaners as possible. This minimum number for a graph G is the edge search number of G, and it is denoted as s(G). The problem has wide range of applications from network security to VLSI chip design.
One of the major problems of edge searching is to characterize the graphs G such that s(G) is at most k, for a fixed positive integer k. This problem is solved only for k=1, 2 and 3 (Megiddo et. al. 1976). The problem has been considered as an open problem that has high priority.
In this project our objective is to characterize those graphs for which k=4 searchers suffice and to generalize this characterization to any k>4. Our main contribution will be deriving a constructive characterization which works more efficient than the previous results. During the project we aim to improve the existing European interest on the subject and to start new discussions.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.

• natural sciences › computer and information sciences › computer security › network security

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Programme(s)

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• FP7-PEOPLE-2009-RG - Marie Curie Action: "Reintegration Grants"

Call for proposal

FP7-PEOPLE-2010-RG
See other projects for this call

Funding Scheme

MC-IRG - International Re-integration Grants (IRG)

Coordinator

KADIR HAS UNIVERSITESI

• EU contribution: € 75 000,00
• Address: KADIR HAS AVENUE ; 34230 Istanbul ; Türkiye
• Region: İstanbul › İstanbul › İstanbul
• Activity type: Higher or Secondary Education Establishments
• Total cost: No data