منابع مشابه
Graph operations characterizing rank-width
Graph complexity measures like tree-width, clique-width and rank-width are important because they yield Fixed Parameter Tractable algorithms. These algorithms are based on hierarchical decompositions of the considered graphs and on boundedness conditions on the graph operations that, more or less explicitly, recombine the components of decompositions into larger graphs. Rank-width is de ned in ...
متن کاملGraph Operations Characterizing Rank-Width and Balanced Graph Expressions
Graph complexity measures like tree-width, clique-width, NLC-width and rank-width are important because they yield Fixed Parameter Tractable algorithms. Rank-width is based on ranks of adjacency matrices of graphs over GF(2). We propose here algebraic operations on graphs that characterize rank-width. For algorithmic purposes, it is important to represent graphs by balanced terms. We give a uni...
متن کاملNCE Graph Grammars and Clique-Width
Graph grammars are widely used in order to deene classes of graphs having some inductive and narrow structure. In many cases the narrowness can be measured in terms of the maximal tree-width and/or clique-width of the graphs in the class, (see RS86],,CO00] for deenitions of these notions). It is known that using the corresponding tree-decomposition or clique-width parse term, any property of th...
متن کاملThe Arc-Width of a Graph
The arc-representation of a graph is a mapping from the set of vertices to the arcs of a circle such that adjacent vertices are mapped to intersecting arcs. The width of such a representation is the maximum number of arcs having a point in common. The arc-width(aw) of a graph is the minimum width of its arc-representations. We show how arc-width is related to path-width and vortex-width. We pro...
متن کاملThe Restricted Arc-Width of a Graph
An arc-representation of a graph is a function mapping each vertex in the graph to an arc on the unit circle in such a way that adjacent vertices are mapped to intersecting arcs. The width of such a representation is the maximum number of arcs passing through a single point. The arc-width of a graph is defined to be the minimum width over all of its arc-representations. We extend the work of Ba...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2011
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2010.10.041