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» Crossing numbers of random graphs
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CPC
2007
95views more  CPC 2007»
15 years 5 months ago
Colouring Random Regular Graphs
In a previous paper we showed that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. Here we extend the method to show that a random 6-regular...
Lingsheng Shi, Nicholas C. Wormald
GD
2003
Springer
15 years 10 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
CORR
2010
Springer
162views Education» more  CORR 2010»
15 years 2 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...
166
Voted
RSA
2000
112views more  RSA 2000»
15 years 5 months ago
Growth of components in random graphs
The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
Svante Janson
164
Voted
FOCS
2003
IEEE
15 years 10 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...