On the Query Complexity of Testing Orientations
نویسندگان
چکیده
We consider testing directed graphs for being Eulerian in the orientation model introduced in [15]. Despite the local nature of the property of being Eulerian, it turns out to be significantly harder for testing than other properties studied in the orientation model. We show a non-constant lower bound on the query complexity of 2-sided tests and a linear lower bound on the query complexity of 1-sided tests for this property. On the positive side, we give several 1-sided and 2-sided tests, including a sub-linear query complexity 2-sided test for general graphs. For special classes of graphs, including bounded-degree graphs and expander graphs, we provide improved results. In particular, we give a 2-sided test with constant query complexity for dense graphs, as well as for expander graphs with a constant expansion parameter.
منابع مشابه
On the Query Complexity of Testing for Eulerian Orientations
We consider testing directed graphs for being Eulerian in the orientation model introduced in [15]. Despite the local nature of the property of being Eulerian, it turns out to be significantly harder for testing than other properties studied in the orientation model. We show a superconstant lower bound on the query complexity of 2-sided tests and a linear lower bound on the query complexity of ...
متن کاملProperty-Testing in Sparse Directed Graphs: 3-Star-Freeness and Connectivity
We study property testing in directed graphs in the bounded degree model, where we assume that an algorithm may only query the outgoing edges of a vertex, a model proposed by Bender and Ron [5]. As our first main result, we we present a property testing algorithm for strong connectivity in this model, having a query complexity of O(n1− ) for arbitrary α > 0; it is based on a reduction to estima...
متن کاملمدل جدیدی برای جستجوی عبارت بر اساس کمینه جابهجایی وزندار
Finding high-quality web pages is one of the most important tasks of search engines. The relevance between the documents found and the query searched depends on the user observation and increases the complexity of ranking algorithms. The other issue is that users often explore just the first 10 to 20 results while millions of pages related to a query may exist. So search engines have to use sui...
متن کاملDeveloping a BIM-based Spatial Ontology for Semantic Querying of 3D Property Information
With the growing dominance of complex and multi-level urban structures, current cadastral systems, which are often developed based on 2D representations, are not capable of providing unambiguous spatial information about urban properties. Therefore, the concept of 3D cadastre is proposed to support 3D digital representation of land and properties and facilitate the communication of legal owners...
متن کاملCryptanalysis of some first round CAESAR candidates
ΑΕS _ CMCCv₁, ΑVΑLΑNCHEv₁, CLΟCv₁, and SILCv₁ are four candidates of the first round of CAESAR. CLΟCv₁ is presented in FSE 2014 and SILCv₁ is designed upon it with the aim of optimizing the hardware implementation cost. In this paper, structural weaknesses of these candidates are studied. We present distinguishing attacks against ΑES _ CMCCv₁ with the complexity of two queries and the success ...
متن کامل