A tie-break model for graph search

Autor: Antoine Mamcarz, Michel Habib, Derek G. Corneil, Fabien de Montgolfier, Jérémie Dusart
Přispěvatelé: Department of Computer Science [University of Toronto] (DCS), University of Toronto, Laboratoire d'informatique Algorithmique : Fondements et Applications (LIAFA), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Networks, Graphs and Algorithms (GANG), Institut de Recherche en Informatique Fondamentale (IRIF (UMR_8243)), Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)-Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Discrete Applied Mathematics
Discrete Applied Mathematics, 2016, 199, pp.89-100. ⟨10.1016/j.dam.2015.06.011⟩
Discrete Applied Mathematics, Elsevier, 2016, 199, pp.89-100. ⟨10.1016/j.dam.2015.06.011⟩
ISSN: 0166-218X
DOI: 10.1016/j.dam.2015.06.011⟩
Popis: International audience; In this paper, we consider the problem of the recognition of various kinds of orderings produced bygraph searches. To this aim, we introduce a new framework, the Tie-Breaking Label Search (TBLS),in order to handle a broad variety of searches. This new model is based on partial orders denedon the label set and it unies the General Label Search (GLS) formalism of Krueger, Simonet andBerry (2011), and the \pattern-conditions" formalism of Corneil and Krueger (2008). It allowsus to derive some general properties including new pattern-conditions (yielding memory-ecientcerticates) for many usual searches, including BFS, DFS, LBFS and LDFS. Furthermore, thenew model allows easy expression of multi-sweep uses of searches that depend on previous (search)orderings of the graph's vertex set.
Databáze: OpenAIRE