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» On the Number of Cycles in Planar Graphs
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DAM
2010
103views more  DAM 2010»
13 years 8 months ago
Dynamic list coloring of bipartite graphs
A dynamic coloring of a graph is a proper coloring of its vertices such that every vertex of degree more than one has at least two neighbors with distinct colors. The least number...
Louis Esperet
NETWORKS
2010
13 years 6 months ago
Fixed-parameter tractability results for full-degree spanning tree and its dual
We provide first-time fixed-parameter tractability results for the NP-complete problems Maximum Full-Degree Spanning Tree and Minimum-Vertex Feedback Edge Set. These problems are...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke
ECCC
2008
122views more  ECCC 2008»
13 years 8 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
FOCS
2009
IEEE
14 years 2 months ago
(Meta) Kernelization
Polynomial time preprocessing to reduce instance size is one of the most commonly deployed heuristics to tackle computationally hard problems. In a parameterized problem, every in...
Hans L. Bodlaender, Fedor V. Fomin, Daniel Lokshta...
JGT
2008
59views more  JGT 2008»
13 years 7 months ago
Pebbling and optimal pebbling in graphs
Given a distribution of pebbles on the vertices of a graph G, a pebbling move takes two pebbles from one vertex and puts one on a neighboring vertex. The pebbling number (G) is th...
David P. Bunde, Erin W. Chambers, Daniel W. Cranst...