Algorithms and Data Structures: 11th International by Mohammad Ali Abam, Paz Carmi, Mohammad Farshi (auth.), Frank

By Mohammad Ali Abam, Paz Carmi, Mohammad Farshi (auth.), Frank Dehne, Marina Gavrilova, Jörg-Rüdiger Sack, Csaba D. Tóth (eds.)

This e-book constitutes the refereed complaints of the eleventh Algorithms and information buildings Symposium, WADS 2009, held in Banff, Canada, in August 2009.

The Algorithms and information buildings Symposium - WADS (formerly "Workshop on Algorithms and information Structures") is meant as a discussion board for researchers within the region of layout and research of algorithms and information buildings. The forty nine revised complete papers awarded during this quantity have been rigorously reviewed and chosen from 126 submissions. The papers current unique examine on algorithms and information buildings in all components, together with bioinformatics, combinatorics, computational geometry, databases, pix, and parallel and disbursed computing.

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Additional resources for Algorithms and Data Structures: 11th International Symposium, WADS 2009, Banff, Canada, August 21-23, 2009. Proceedings

Example text

Then, a path Pu is found, with its endvertices in V1 ∪ {vi , vj } and with a vertex ux adjacent to a vertex vx in V2 . Pu and (ux , vx ) split C into smaller linearlyordered outerclustered graphs C1 , C2 , and C3 ; further, suitable drawings of Pu and (ux , vx ) split Γ (Co ) into convex-separated drawings of the outer faces of C1 , C2 , and C3 . Since Γ (Co ) is a convex-separated drawing, one of the two cases applies, otherwise the polygon representing o(G) would not be convex. 4 Drawing Outerclustered Graphs In this section we generalize from linearly-ordered outerclustered graphs to general outerclustered graphs.

UU ) and Pv = (v1 , v2 , . . , vV ) such that: (a) uU = u, vV = v, and u1 = v1 = z; (b) the vertices of Pu \ {u1 } and Pv \ {v1 } are distinct; (c) each of paths Pu \ {u1 } and Pv \ {v1 } has no chords; (d) σ(ui ) does not contain neither v nor z, for each 2 ≤ i ≤ U ; σ(vi ) does not contain neither u nor z, for each 2 ≤ i ≤ V ; (e) σ(ui+1 ) is a descendant of σ(ui ), for each 2 ≤ i ≤ U − 1; σ(vi+1 ) is a descendant of σ(vi ), for each 2 ≤ i ≤ V − 1; (f ) G contains an internal face having incident vertices u2 , v2 , and z.

A straight-line rectangular drawing Γ (C) of C is a triangular-convex-separated drawing if, for every pair of clusters μ and ν such that μ is the parent of ν in T and such that μ is not an ancestor of σ(u, v, z), there exists a convex region R(μ, ν) such that: (i) R(μ, ν) is entirely contained inside μ ∩ (P ∪ int(P )), where P is the triangle representing G in Γ (C); (ii) for any cluster μ = μ and any child ν of μ , R(μ, ν) intersects neither R(μ , ν ) nor the boundary of μ ; (iii) R(μ, ν) ∩ P consists of two polygonal lines l1 (μ, ν) and l2 (μ, ν) such that at least one endpoint of l1 (μ, ν) (resp.

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