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» On Bounds for the k-Partitioning of Graphs
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ECCC
2007
124views more  ECCC 2007»
14 years 9 months ago
Testing Hereditary Properties of Non-Expanding Bounded-Degree Graphs
We study graph properties which are testable for bounded degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined grap...
Artur Czumaj, Asaf Shapira, Christian Sohler
CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
13 years 6 days 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
SSS
2010
Springer
134views Control Systems» more  SSS 2010»
14 years 8 months ago
Storage Capacity of Labeled Graphs
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic label...
Dana Angluin, James Aspnes, Rida A. Bazzi, Jiang C...
JSYML
2010
95views more  JSYML 2010»
14 years 4 months ago
Some natural decision problems in automatic graphs
For automatic and recursive graphs, we investigate the following problems: (A) existence of a Hamiltonian path and existence of an infinite path in a tree (B) existence of an Euler...
Dietrich Kuske, Markus Lohrey
COMBINATORICA
2010
14 years 4 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...