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Induced subgraphs and tree decompositions XVIII. Obstructions to bounded pathwidth [PDF]
Maria Chudnovsky +2 more
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Experimental Evaluation of a Branch and Bound Algorithm for computing Pathwidth
David Coudert +2 more
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PATHWIDTH AND LAYERED DRAWINGS OF TREES
International Journal of Computational Geometry & Applications, 2004An h-layer drawing of a graph G is a planar drawing of G in which each vertex is placed on one of h parallel lines and each edge is drawn as a straight line between its end-vertices. In such a drawing, we say that an edge is proper if its endpoints lie on adjacent layers, flat if they lie on the same layer and long otherwise.
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Pathwidth of Planar and Line Graphs
Graphs and Combinatorics, 2003The paper studies the pathwidth \(\text{pw}(G)\) of planar graphs and proves that for any 2-connected plane graph \(G\) with pathwidth \(\text{pw}(G^*)\) of the geometric dual graph \(G^*\) of \(G\) is smaller than the pathwidth \(\text{pw}(L(G))\) of the line graph \(L(G)\) of \(G\).
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Directed Pathwidth and Palletizers
2015In delivery industry, bins have to be stacked-up from conveyor belts onto pallets. Given k sequences of labeled bins and a positive integer p. The goal is to stack-up the bins by iteratively removing the first bin of one of the k sequences and put it onto a pallet located at one of p stack-up places.
Frank Gurski +2 more
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Approximating the pathwidth of outerplanar graphs
Information Processing Letters, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Govindan, Rajeev +2 more
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Online Problems, Pathwidth, and Persistence
2004We explore the effects of using graph width metrics as restrictions on the input to online problems. It seems natural to suppose that, for graphs having some form of bounded width, good online algorithms may exist for a number of natural problems. In the work presented we concentrate on online graph coloring problems, where we restrict the allowed ...
Rodney G. Downey, Catherine McCartin
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Revisiting Space in Proof Complexity: Treewidth and Pathwidth
2013So-called ordered variants of the classical notions of pathwidth and treewidth are introduced and proposed as proof theoretically meaningful complexity measures for the directed acyclic graphs underlying proofs. The ordered pathwidth of a proof is shown to be roughly the same as its formula space.
Moritz Mýller, Stefan Szeider
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A Linear Algorithm for the Pathwidth of Trees
1990The pathwidth is a graph parameter only recently studied but closely related to other characteristics of graphs like tree, band- or cutwidth, interval thickness or search number ([S]). The graphs considered here are finite, undirected and simple. First the preliminaries are given. Section 2 contains our main results on the pathwidth of trees, the basis
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