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|Title:||Structure and Recognition of Graphs with No 6-wheel Subdivision|
|Citation:||Algorithmica, 2009; 55(4):703-728|
|Rebecca Robinson and Graham Farr|
|Abstract:||The subgraph homeomorphism problem has been shown by Robertson and Seymour to be polynomial-time solvable for any fixed pattern graph H. The result, however, is not practical, involving constants that are worse than exponential in |H|. Practical algorithms have only been developed for a few specific pattern graphs, the most recent of these being the wheels with four and five spokes. This paper looks at the subgraph homeomorphism problem where the pattern graph is a wheel with six spokes. The main result is a theorem characterizing graphs that do not contain subdivisions of W 6. We give an efficient algorithm for solving the subgraph homeomorphism problem for W 6. We also give a strengthening of the previous W 5 result.|
|Keywords:||Graph algorithms; Topological containment; Subgraph homeomorphism problem; Subdivisions|
|Description:||The original publication is available at www.springerlink.com|
|Rights:||© Springer Science+Business Media, LLC 2009|
|Appears in Collections:||Computer Science publications|
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