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ECCC
2006
123views more  ECCC 2006»
13 years 5 months ago
A Note on Adaptivity in Testing Properties of Bounded Degree Graphs
We show that in the bounded degree model for graph property testing, adaptivity is essential. An algorithm is non-adaptive if it makes all queries to the input before receiving an...
Sofya Raskhodnikova, Adam Smith
IWPEC
2009
Springer
14 years 8 days ago
Bounded-Degree Techniques Accelerate Some Parameterized Graph Algorithms
Many parameterized algorithms for NP-hard graph problems are search tree algorithms with sophisticated local branching rules. But it has also been noticed that the global structur...
Peter Damaschke
DM
2008
88views more  DM 2008»
13 years 5 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Tobias Müller, Attila Pór, Jean-S&eacu...
DM
2010
143views more  DM 2010»
13 years 5 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...
WG
2004
Springer
13 years 11 months ago
Computing Bounded-Degree Phylogenetic Roots of Disconnected Graphs
The Phylogenetic kth Root Problem (PRk) is the problem of finding a (phylogenetic) tree T from a given graph G = (V, E) such that (1) T has no degree-2 internal nodes, (2) the ex...
Zhi-Zhong Chen, Tatsuie Tsukiji