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CCCG
2010
13 years 10 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 ...
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 8 months ago
Quasi-randomness of graph balanced cut properties
Quasi-random graphs can be informally described as graphs whose edge distribution closely resembles that of a truly random graph of the same edge density. Recently, Shapira and Yu...
Hao Huang, Choongbum Lee
ARSCOM
2008
65views more  ARSCOM 2008»
13 years 8 months ago
Strongly pan-factorial property in cages
A (k; g)-graph is a k-regular graph with girth g. A (k; g)-cage is a (k; g)-graph with the least number of vertices. In this note, we show that (k; g)-cage has an r-factor of girt...
Guizhen Liu, Qinglin Yu
COCOON
2007
Springer
14 years 2 months ago
Generating Minimal k-Vertex Connected Spanning Subgraphs
Abstract. We show that minimal k-vertex connected spanning subgraphs of a given graph can be generated in incremental polynomial time for any fixed k.
Endre Boros, Konrad Borys, Khaled M. Elbassioni, V...
CORR
2010
Springer
57views Education» more  CORR 2010»
13 years 8 months ago
k-Edge-Connectivity: Approximation and LP Relaxation
In the k-edge-connected spanning subgraph problem we are given a graph (V, E) and costs for each edge, and want to find a minimum-cost F E such that (V, F) is k-edge-connected. I...
David Pritchard