Lower Bounds for Testing Bipartiteness in Dense Graphs

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19th Annual IEEE Conference on Computational Complexity (CCC'04)

Amherst, Massachusetts

June 21-June 24

ISBN: 0-7695-2120-7

	ASCII Text	x
	Andrej Bogdanov, Luca Trevisan, "Lower Bounds for Testing Bipartiteness in Dense Graphs," Computational Complexity, Annual IEEE Conference on, pp. 75-81, 19th Annual IEEE Conference on Computational Complexity (CCC'04), 2004.

	BibTex	x
	@article{ 10.1109/CCC.2004.1313803, author = {Andrej Bogdanov and Luca Trevisan}, title = {Lower Bounds for Testing Bipartiteness in Dense Graphs}, journal ={Computational Complexity, Annual IEEE Conference on}, volume = {0}, year = {2004}, issn = {1093-0159}, pages = {75-81}, doi = {http://doi.ieeecomputersociety.org/10.1109/CCC.2004.1313803}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Computational Complexity, Annual IEEE Conference on TI - Lower Bounds for Testing Bipartiteness in Dense Graphs SN - 1093-0159 SP75 EP81 A1 - Andrej Bogdanov, A1 - Luca Trevisan, PY - 2004 KW - null VL - 0 JA - Computational Complexity, Annual IEEE Conference on ER -

Andrej Bogdanov, University of California at Berkeley

Luca Trevisan, University of California at Berkeley

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CCC.2004.1313803

We consider the problem of testing bipartiteness in the adjacency matrix model. The best known algorithm, due to Alon and Krivelevich, distinguishes between bipartite graphs and graphs that are ∊-far from bipartite using \mathop 0\limits^ \sim (1/\varepsilon ^2 ) queries. We show that this is optimal for non-adaptive algorithms, up to polylogarithmic factors. We also show a lower bound of \Omega (1/\varepsilon ^{3/2} ) for adaptive algorithms.

Citation:

Andrej Bogdanov, Luca Trevisan, "Lower Bounds for Testing Bipartiteness in Dense Graphs," ccc, pp.75-81, 19th Annual IEEE Conference on Computational Complexity (CCC'04), 2004

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