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» Characterizing path graphs by forbidden induced subgraphs
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COMBINATORICA
2008
92views more  COMBINATORICA 2008»
15 years 1 months ago
A separation theorem in property testing
Consider the following seemingly rhetorical question: Is it crucial for a property-tester to know the error parameter in advance? Previous papers dealing with various testing prob...
Noga Alon, Asaf Shapira
GD
2009
Springer
15 years 5 months ago
On Planar Supports for Hypergraphs
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
Kevin Buchin, Marc J. van Kreveld, Henk Meijer, Be...
EJC
2008
15 years 1 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
STACS
2007
Springer
15 years 7 months ago
Testing Convexity Properties of Tree Colorings
A coloring of a graph is convex if it induces a partition of the vertices into connected subgraphs. Besides being an interesting property from a theoretical point of view, tests f...
Eldar Fischer, Orly Yahalom
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
15 years 2 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi