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Information Processing Letters 110 (2010) 497-502
Unrestricted and complete Breadth-First Search of trapezoid graphs in O(n) time
Christophe Crespelle ( ) 1, Philippe Gambette 2
(2010)

We present an O(n) Breadth-First Search algorithm for trapezoid graphs, which takes as input a trapezoid model and any priority order on the vertices. Our algorithm is the first able to produce any BFS-tree, and not only one specific to the model given as input, within this complexity. Moreover, it produces all the shortest paths from the root of the BFS-tree to the other vertices of the graph.
1:  Laboratoire d'Informatique de Paris 6 (LIP6)
CNRS : UMR7606 – Université Paris VI - Pierre et Marie Curie
2:  Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier (LIRMM)
CNRS : UMR5506 – Université Montpellier II - Sciences et Techniques du Languedoc
[INFO/ALGCO]
Computer Science/Data Structures and Algorithms
Breadth-First Search – Trapezoid graphs – Permutation graphs – Interval graphs – Shortest paths – Graph algorithms
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