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Tree-width, path-width, and cutwidth

✍ Scribed by Ephraim Korach; Nir Solel


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
387 KB
Volume
43
Category
Article
ISSN
0166-218X

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πŸ“œ SIMILAR VOLUMES


Directed Tree-Width
✍ Thor Johnson; Neil Robertson; P.D. Seymour; Robin Thomas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 198 KB

We generalize the concept of tree-width to directed graphs and prove that every directed graph with no ``haven'' of large order has small tree-width. Conversely, a digraph with a large haven has large tree-width. We also show that the Hamilton cycle problem and other NP-hard problems can be solved i

Bounded Tree-Width and LOGCFL
✍ E. Wanke πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 902 KB

We show that (1) the recognition of tree-width bounded graphs and (2) the decidability of graph properties--which are defined by finite equivalence relations on \(h\)-sourced graphs-on tree-width bounded graphs belong to the complexity class LOGCFL. This is the lowest complexity class known for thes

Tree-width and circumference of graphs
✍ Etienne Birmele πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 37 KB

## Abstract We prove that every graph of circumference __k__ has tree‐width at most __k__β€‰βˆ’β€‰1 and that this bound is best possible. Β© 2003 Wiley Periodicals, Inc. J Graph Theory 43: 24–25, 2003

Tree-width, clique-minors, and eigenvalu
✍ Yuan Hong πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 187 KB

Let G be a simple graph with n vertices and tw(G) be the tree-width of G. Let (G) be the spectral radius of G and (G) be the smallest eigenvalue of G. The join Gβˆ‡H of disjoint graphs of G and H is the graph obtained from G + H by joining each vertex of G to each vertex of H . In this paper, several

Surfaces, Tree-Width, Clique-Minors, and
✍ Guoli Ding; Bogdan Oporowski; Daniel P. Sanders; Dirk Vertigan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 214 KB

In 1971, Chartrand, Geller, and Hedetniemi conjectured that the edge set of a planar graph may be partitioned into two subsets, each of which induces an outerplanar graph. Some partial results towards this conjecture are presented. One such result, in which a planar graph may be thus edge partitione

Tree-width and the monadic quantifier hi
✍ J.A. Makowsky; J.P. MariΓ±o πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 269 KB

It is well known that on classes of graphs of bounded tree-width, every monadic second-order property is decidable in polynomial time. The converse is not true without further assumptions. It follows from the work of Robertson and Seymour, that if a class of graphs K has unbounded tree-width and is