The NLC-width and clique-width for powers of graphs of bounded tree-width

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The NLC-width and clique-width for powers of graphs of bounded tree-width

The k-power graph of a graph G is a graphwith the same vertex set as G, in that two vertices are adjacent if and only if, there is a path between them in G of length at most k. A k-treepower graph is the k-power graph of a tree, a k-leaf-power graph is the subgraph of some k-tree-power graph induced by the leaves of the tree. We show that (1) every k-tree-power graph has NLC-width at most k + 2...

متن کامل

Deciding Clique-Width for Graphs of Bounded Tree-Width

We show that there exists a linear time algorithm for deciding whether a graph of bounded tree-width has clique-width k for some fixed integer k. Communicated by Giuseppe Liotta and Ioannis G. Tollis: submitted October 2001; revised July 2002 and February 2003. The work of the second author was supported by the German Research Association (DFG) grant WA 674/9-2. W. Espelage et al., Deciding Cli...

متن کامل

Clique-width and tree-width of sparse graphs

Tree-width and clique-width are two important graph complexity measures that serve as parameters in many fixed-parameter tractable (FPT) algorithms. The same classes of sparse graphs, in particular of planar graphs and of graphs of bounded degree have bounded tree-width and bounded clique-width. We prove that, for sparse graphs, clique-width is polynomially bounded in terms of tree-width. For p...

متن کامل

Minimal 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...

متن کامل

Chordal bipartite graphs of bounded tree- and clique-width

A bipartite graph is chordal bipartite if every cycle of length at least six has a chord. In the class of chordal bipartite graphs the tree-width and the clique-width are unbounded. Our main results are that chordal bipartite graphs of bounded vertex degree have bounded tree-width and that k-fork-free chordal bipartite graphs have bounded clique-width, where a k-fork is the graph arising from a...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2009

ISSN: 0166-218X

DOI: 10.1016/j.dam.2008.08.031