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CPC
2006
93views more  CPC 2006»
13 years 7 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
CPC
2006
69views more  CPC 2006»
13 years 7 months ago
Size and Weight of Shortest Path Trees with Exponential Link Weights
We derive the distribution of the number of links and the average weight for the shortest path tree (SPT) rooted at an arbitrary node to m uniformly chosen nodes in the complete g...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
CPC
2006
110views more  CPC 2006»
13 years 7 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
CPC
2006
116views more  CPC 2006»
13 years 7 months ago
Finding Large Independent Sets in Polynomial Expected Time
We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
Amin Coja-Oghlan
CPC
2007
125views more  CPC 2007»
13 years 7 months ago
Adversarial Deletion in a Scale-Free Random Graph Process
We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and is “attacked by an adversary”. At time t, we add a new vertex xt a...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera