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COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 4 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 6 months ago
The cover time of sparse random graphs
We study the cover time of a random walk on graphs G ∈ Gn,p when p = c log n
Colin Cooper, Alan M. Frieze
APPROX
2007
Springer
100views Algorithms» more  APPROX 2007»
13 years 11 months ago
Implementing Huge Sparse Random Graphs
Consider a scenario where one desires to simulate the execution of some graph algorithm on random input graphs of huge, perhaps even exponential size. Sampling and storing these h...
Moni Naor, Asaf Nussboim
CPC
2006
110views more  CPC 2006»
13 years 4 months ago
Solving Sparse Random Instances of Max Cut and Max 2-CSP in Linear Expected Time
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
Alexander D. Scott, Gregory B. Sorkin
EJC
2008
13 years 4 months ago
Multiple Kronecker covering graphs
A graph may be the Kronecker cover in more than one way. In this note we explore this phenomenon and apply it to show that the minimal common cover of two graphs need not be uniqu...
Wilfried Imrich, Tomaz Pisanski