| EPSRC Reference: |
EP/J008087/1 |
| Title: |
Edge-colourings and Hamilton decompositions of graphs |
| Principal Investigator: |
Osthus, Professor D |
| Other Investigators: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Standard Research |
| Starts: |
01 June 2012 |
Ends: |
30 September 2014 |
Value (£): |
192,447
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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A graph consists of a set of vertices, some of which are joined by edges. So every network like the internet gives rise to a graph. Moreover, many timetable scheduling problems can be modelled as graph colouring problems. Unfortunately, graph colouring problems are usually very hard in the sense that it is unlikely that there exists an efficient algorithm for solving them. So one tries to find natural conditions which guarantee the existence of good colourings. This has turned into an important area which has received much attention. However, many fundamental questions remain unsolved. The aim of the project is to solve several of these, based on a new notion of robustly decomposable graphs which we have developed recently. This method will also apply to long-standing problems on decompositions of graphs into Hamilton cycles. These problems in turn have applications to the famous Travelling Salesman Problem.
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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.bham.ac.uk |