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» On Bounds for the k-Partitioning of Graphs
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COMBINATORICS
2006
169views more  COMBINATORICS 2006»
15 years 6 months ago
The Diameter and Laplacian Eigenvalues of Directed Graphs
For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
Fan R. K. Chung
IPL
2006
69views more  IPL 2006»
15 years 6 months ago
On computing the smallest four-coloring of planar graphs and non-self-reducible sets in P
We show that computing the lexicographically first four-coloring for planar graphs is p 2hard. This result optimally improves upon a result of Khuller and Vazirani who prove this ...
André Große, Jörg Rothe, Gerd We...
COCO
2010
Springer
135views Algorithms» more  COCO 2010»
15 years 10 months ago
Lower Bounds for Testing Function Isomorphism
—We prove new lower bounds in the area of property testing of boolean functions. Specifically, we study the problem of testing whether a boolean function f is isomorphic to a ...
Eric Blais, Ryan O'Donnell
ICQNM
2007
IEEE
131views Chemistry» more  ICQNM 2007»
16 years 24 days ago
Comparison of two bounds of the quantum correlation set
— From a geometric viewpoint, quantum nonlocality between two parties is represented as the difference of two convex bodies, namely the sets of possible results of classical and ...
David Avis, Tsuyoshi Ito
ICALP
2005
Springer
15 years 12 months ago
Computational Bounds on Hierarchical Data Processing with Applications to Information Security
Motivated by the study of algorithmic problems in the domain of information security, in this paper, we study the complexity of a new class of computations over a collection of va...
Roberto Tamassia, Nikos Triandopoulos