Evaluating a weighted graph polynomial for graphs of bounded tree-width
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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We show that for any $k$ there is a polynomial time algorithm to evaluate the weighted graph polynomial $U$ of any graph with tree-width at most $k$ at any point. For a graph with $n$ vertices, the algorithm requires $O(a_k n^{2k+3})$ arithmetical operations, where $a_k$ depends only on $k$.
DOI : 10.37236/153
Classification : 05C85, 05C15, 68R10
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     author = {S. D. Noble},
     title = {Evaluating a weighted graph polynomial for graphs of bounded tree-width},
     journal = {The electronic journal of combinatorics},
     year = {2009},
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     number = {1},
     doi = {10.37236/153},
     zbl = {1209.05249},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/153/}
}
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S. D. Noble. Evaluating a weighted graph polynomial for graphs of bounded tree-width. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/153

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