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» A Spectral Approach to Lower Bounds
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COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 27 days ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
ECCC
2010
89views more  ECCC 2010»
13 years 7 months ago
Lower bounds for designs in symmetric spaces
A design is a finite set of points in a space on which every "simple" functions averages to its global mean. Illustrative examples of simple functions are low-degree pol...
Noa Eidelstein, Alex Samorodnitsky
BMCBI
2006
141views more  BMCBI 2006»
13 years 7 months ago
Maximum common subgraph: some upper bound and lower bound results
Background: Structure matching plays an important part in understanding the functional role of biological structures. Bioinformatics assists in this effort by reformulating this p...
Xiuzhen Huang, Jing Lai, Steven F. Jennings
JCT
2007
146views more  JCT 2007»
13 years 7 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 7 months ago
Balanced distribution-energy inequalities and related entropy bounds
Let A be a self-adjoint operator acting over a space X endowed with a partition. We give lower bounds on the energy of a mixed state from its distribution in the partition and the...
Michel Rumin