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» Large induced subgraphs with equated maximum degree
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79
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GC
2007
Springer
14 years 10 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
73
Voted
STACS
2007
Springer
15 years 4 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
79
Voted
ICPP
1994
IEEE
15 years 2 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»
13 years 21 days 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...
133
Voted
ICALP
2011
Springer
14 years 1 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