A direct algorithm for the parameterized face cover problem
With respect to a given plane graph, G, a face cover is defined as a set of faces whose boundaries collectively contain every vertex in G. It is known that, when k is fixed, finding a cover of size k (if indeed any exist) can be accomplished in polynomial time. Recent improvements to face cover algo...
محفوظ في:
| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | |
| التنسيق: | conferenceObject |
| منشور في: |
2017
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/5411 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php |
| الوسوم: |
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| الملخص: | With respect to a given plane graph, G, a face cover is defined as a set of faces whose boundaries collectively contain every vertex in G. It is known that, when k is fixed, finding a cover of size k (if indeed any exist) can be accomplished in polynomial time. Recent improvements to face cover algorithms are based on the theory of fixed-parameter tractability and reductions to planar dominating set. A major goal has been to reduce the time required for branching, which is the most computationally-intensive aspect of fixed-parameter tractable methods. The fastest previously-known method for solving planar dominating set requires branching time O(8kn). The main contribution of this paper is a direct and relatively simple O(5kn) face cover branching algorithm. A direct O(n2) face cover kernelization algorithm is also presented. |
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