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STOC
2005
ACM
96views Algorithms» more  STOC 2005»
16 years 6 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
RSA
2006
66views more  RSA 2006»
15 years 6 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
ISAAC
2009
Springer
87views Algorithms» more  ISAAC 2009»
15 years 11 months ago
Parameterizing Cut Sets in a Graph by the Number of Their Components
For a connected graph G = (V, E), a subset U ⊆ V is called a k-cut if U disconnects G, and the subgraph induced by U contains exactly k (≥ 1) components. More specifically, a ...
Takehiro Ito, Marcin Kaminski, Daniël Paulusm...
GD
1998
Springer
15 years 10 months ago
Using Graph Layout to Visualize Train Interconnection Data
We consider the problem of visualizing interconnections in railway systems. Given time tables from systems with thousands of trains, we are to visualize basic properties of the co...
Ulrik Brandes, Dorothea Wagner
EJC
2008
15 years 6 months ago
Locally constrained graph homomorphisms and equitable partitions
We explore the connection between locally constrained graph homomorphisms and degree matrices arising from an equitable partition of a graph. We provide several equivalent charact...
Jirí Fiala, Daniël Paulusma, Jan Arne ...