Approximating rank-width and clique-width quickly
نویسندگان
چکیده
منابع مشابه
Approximating clique-width and branch-width
We construct a polynomial-time algorithm to approximate the branch-width of certain symmetric submodular functions, and give two applications. The first is to graph “clique-width”. Clique-width is a measure of the difficulty of decomposing a graph in a kind of tree-structure, and if a graph has clique-width at most k then the corresponding decomposition of the graph is called a “k-expression”. ...
متن کاملLinear Rank-Width and Linear Clique-Width of Trees
We show that for every forest T the linear rank-width of T is equal to the path-width of T , and the linear clique-width of T equals the path-width of T plus two, provided that T contains a path of length three. It follows that both linear rank-width and linear clique-width of forests can be computed in linear time. Using our characterization of linear rank-width of forests, we determine the se...
متن کاملMulti-Clique-Width
Multi-clique-width is obtained by a simple modification in the definition of cliquewidth. It has the advantage of providing a natural extension of tree-width. Unlike clique-width, it does not explode exponentially compared to tree-width. Efficient algorithms based on multi-clique-width are still possible for interesting tasks like computing the independent set polynomial or testing c-colorabili...
متن کاملClique-width and edge contraction
We prove that edge contractions do not preserve the property that a set of graphs has bounded clique-width.
متن کاملClique-Width and Parity Games
The question of the exact complexity of solving parity games is one of the major open problems in system verification, as it is equivalent to the problem of model-checking the modal mu-calculus. The known upper bound is NP intersection co-NP, but no polynomial algorithm is known. It was shown that on tree-like graphs (of bounded tree-width and DAG-width) a polynomial-time algorithm does exist. ...
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ژورنال
عنوان ژورنال: ACM Transactions on Algorithms
سال: 2008
ISSN: 1549-6325,1549-6333
DOI: 10.1145/1435375.1435385