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DAM
2011
13 years 2 months ago
Independence in connected graphs
We prove that if G = (VG, EG) is a finite, simple, and undirected graph with κ components and independence number α(G), then there exist a positive integer k ∈ N and a functi...
Jochen Harant, Dieter Rautenbach
CORR
2011
Springer
170views Education» more  CORR 2011»
13 years 2 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»
13 years 2 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...
KAIS
2011
129views more  KAIS 2011»
13 years 2 months ago
Counting triangles in real-world networks using projections
Triangle counting is an important problem in graph mining. Two frequently used metrics in complex network analysis which require the count of triangles are the clustering coefficie...
Charalampos E. Tsourakakis
CCCG
2010
13 years 9 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...