| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6871967 | Discrete Applied Mathematics | 2016 | 12 Pages |
Abstract
In this paper, we consider the problem of the recognition of various kinds of orderings produced by graph 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 defined on the label set and it unifies the General Label Search (GLS) formalism of Krueger et al. (2011), and the “pattern-conditions” formalism of Corneil and Krueger (2008). It allows us to derive some general properties including new pattern-conditions (yielding memory-efficient certificates) for many usual searches, including BFS, DFS, LBFS and LDFS. Furthermore, the new model allows easy expression of multi-sweep uses of searches that depend on previous (search) orderings of the graph's vertex set.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Derek G. Corneil, Jérémie Dusart, Michel Habib, Antoine Mamcarz, Fabien de Montgolfier,