1.

Record Nr.

UNISA996466117603316

Autore

Kloks Ton

Titolo

Treewidth [[electronic resource] ] : Computations and Approximations / / by Ton Kloks

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1994

ISBN

3-540-48672-0

Edizione

[1st ed. 1994.]

Descrizione fisica

1 online resource (X, 218 p.)

Collana

Lecture Notes in Computer Science, , 0302-9743 ; ; 842

Disciplina

511/.5

Soggetti

Computers

Algorithms

Combinatorics

Computer graphics

Theory of Computation

Algorithm Analysis and Problem Complexity

Computer Graphics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

and basic terminology -- Preliminaries -- Testing superperfection of k-trees -- Triangulating 3-colored graphs -- Only few graphs have bounded treewidth -- Approximating treewidth and pathwidth of a graph -- Approximating treewidth and pathwidth for some classes of perfect graphs -- Treewidth of chordal bipartite graphs -- Treewidth and pathwidth of permutation graphs -- Treewidth of circle graphs -- Finding all minimal separators of a graph -- Treewidth and pathwidth of cocomparability graphs of bounded dimension -- Pathwidth of pathwidth-bounded graphs -- Treewidth of treewidth-bounded graphs -- Recognizing treewidth-bounded graphs.

Sommario/riassunto

This treatise investigates a number of problems related to treewidth and pathwidth of graphs. The main objective is to obtain good bounds on the complexity of determining the treewidth and pathwidth for various classes of graphs. Originating from the author's Ph.D. thesis, this monograph presents original own work. Nevertheless, many interesting perspectives beyond are presented. In total, the book is a



smooth introduction to the topic of graphs of bounded treewidth. It will help to satisfy the strong interest among the algorithmic graph theory community in the theory pertaining to the topic. Particularly valuable is the thorough survey given of the relevant current literature.