Tree-width, path-width, and cutwidth

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A Note on Tree-width Path-width and Cutwidth*

Let tw(G), pw(G), c(G), !J.(G) denote, respectively, the tree-width, path-width, cutwidth and the maximum degree of a graph G on 11 vertices . It is known that c (G)~tw (G). We prove that c (G) =0 (tw (G)·!J.(G)·logn), and if ({Xj : iel] ,T=(I,A» is a tree decomposition of G with tree-wid~ then c (G) S (k+ l)·!J.(G)·c (T). In case that a tree decomposition is given, or that the tree-width is bo...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 1993

ISSN: 0166-218X

DOI: 10.1016/0166-218x(93)90171-j