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» Large induced subgraphs with equated maximum degree
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GC
2007
Springer
13 years 5 months ago
Local Topological Toughness and Local Factors
We localize and strengthen Katona’s idea of an edge-toughness to a local topological toughness. We disprove a conjecture of Katona concerning the connection between edgetoughnes...
Frank Göring, Gyula Y. Katona
STACS
2007
Springer
13 years 11 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
ICPP
1994
IEEE
13 years 9 months ago
Computational Properties of Mesh Connected Trees: Versatile Architectures for Parallel Computation
Recently, the mesh connected trees (MCT) network has been proposed as a possible architecture for parallel computers. MCT networks are obtained by combining complete binary trees ...
Kemal Efe, Antonio Fernández
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
11 years 7 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli