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» General Lower Bounds for the Minor Crossing Number of Graphs
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ENDM
2007
106views more  ENDM 2007»
13 years 9 months ago
Removing Even Crossings on Surfaces
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 6 months ago
Counting Plane Graphs: Flippability and its Applications
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
Michael Hoffmann, Micha Sharir, Adam Sheffer, Csab...
CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
11 years 11 months ago
Secret Sharing Schemes for Very Dense Graphs
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can reconstruct the secret while every independent set in the graph does not get any informatio...
Amos Beimel, Oriol Farràs, Yuval Mintz
CRYPTO
2006
Springer
92views Cryptology» more  CRYPTO 2006»
14 years 23 days ago
Rigorous Bounds on Cryptanalytic Time/Memory Tradeoffs
In this paper we formalize a general model of cryptanalytic time/memory tradeoffs for the inversion of a random function f : {0, 1, . . . , N - 1} {0, 1, . . . , N - 1}. The model...
Elad Barkan, Eli Biham, Adi Shamir
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 9 months ago
Approximate max-integral-flow/min-multicut theorems
We establish several approximate max-integral-flow / minmulticut theorems. While in general this ratio can be very large, we prove strong approximation ratios in the case where th...
Kenji Obata