| EPSRC Reference: |
EP/L020408/1 |
| Title: |
Stability in graphs: methodologies and related problems |
| Principal Investigator: |
Lozin, Professor V |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research |
| Starts: |
30 August 2014 |
Ends: |
31 March 2018 |
Value (£): |
395,376
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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In 1965, Edmonds published his celebrated solution to the maximum matching problem, which is a special case of the maximum independent (stable) set problem restricted to the class of line graphs. Two key tools in the solution of Edmonds are augmenting chains and cycle shrinking. Both tools can be extended to general graphs but neither of them has been studied or used on a systematic basis. The idea of the present project is to lay theoretical foundations for both techniques (augmenting graphs and graph transformations) in order to turn their isolated applications into a developed methodology and apply this methodology to obtain faster exponential time algorithms for the maximum independent set and related problems, such as satisfiability and constraint satisfaction.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.warwick.ac.uk |