منابع مشابه
Graphs of Linear Clique-Width at Most 3
A graph has linear clique-width at most k if it has a clique-width expression using at most k labels such that every disjoint union operation has an operand which is a single vertex graph. We give the first characterisation of graphs of linear clique-width at most 3, and we give the first polynomial-time recognition algorithm for graphs of linear clique-width at most 3. In addition, we present ...
متن کاملPolynomial-time Algorithm for Isomorphism of Graphs with Clique-width at most 3
The clique-width is a measure of complexity of decomposing graphs into certain tree-like structures. The class of graphs with bounded clique-width contains bounded tree-width graphs. While there are many results on the graph isomorphism problem for bounded treewidth graphs, very little is known about isomorphism of bounded cliquewidth graphs. We give the first polynomial-time graph isomorphism ...
متن کاملGraphs of small bounded linear clique-width
In this paper we give the first characterisation of graphs with linear clique-width at most 3, and we give a polynomial-time recognition algorithm for such graphs. In addition, we give a new characterisation of graphs with linear clique-width at most 2 and a new layout characterisation of linear clique-width in general. Among our results is also a decomposition scheme that preserves the linear ...
متن کاملOn 3-Connected Graphs of Path-Width at Most Three
It is known that the list of excluded minors for the minor-closed class of graphs of path-width 6 3 numbers in the millions. However, if we restrict the class to 3-connected graphs of path-width 6 3, then we can characterize it by five excluded minors.
متن کاملMinimal forbidden induced subgraphs of graphs of bounded clique-width and bounded linear clique-width
In the study of full bubble model graphs of bounded clique-width and bounded linear clique-width, we determined complete sets of forbidden induced subgraphs, that are minimal in the class of full bubble model graphs. In this note, we show that (almost all of) these graphs are minimal in the class of all graphs. As a corollary, we can give sets of minimal forbidden induced subgraphs for graphs o...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2011
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2011.06.016