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JGT
2008
107views more  JGT 2008»
15 years 6 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
COMBINATORICS
2000
81views more  COMBINATORICS 2000»
15 years 6 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler
PROPERTYTESTING
2010
15 years 4 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
CORR
2011
Springer
170views Education» more  CORR 2011»
15 years 1 months ago
Better Bounds for Incremental Frequency Allocation in Bipartite Graphs
We study frequency allocation in wireless networks. A wireless network is modeled by an undirected graph, with vertices corresponding to cells. In each vertex we have a certain nu...
Marek Chrobak, Lukasz Jez, Jiri Sgall
CORR
2011
Springer
152views Education» more  CORR 2011»
15 years 1 months ago
Topology Discovery of Sparse Random Graphs With Few Participants
We consider the task of topology discovery of sparse random graphs using end-to-end random measurements (e.g., delay) between a subset of nodes, referred to as the participants. T...
Animashree Anandkumar, Avinatan Hassidim, Jonathan...