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» Packing vertices and edges in random regular graphs
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RSA
2008
103views more  RSA 2008»
14 years 11 months ago
What is the furthest graph from a hereditary property?
For a graph property P, the edit distance of a graph G from P, denoted EP (G), is the minimum number of edge modifications (additions or deletions) one needs to apply to G in orde...
Noga Alon, Uri Stav
APPROX
2009
Springer
98views Algorithms» more  APPROX 2009»
15 years 6 months ago
Random Tensors and Planted Cliques
The r-parity tensor of a graph is a generalization of the adjacency matrix, where the tensor’s entries denote the parity of the number of edges in subgraphs induced by r distinc...
S. Charles Brubaker, Santosh Vempala
CPC
2006
93views more  CPC 2006»
14 years 11 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper
CORR
2010
Springer
164views Education» more  CORR 2010»
14 years 12 months ago
Schnyder decompositions for regular plane graphs and application to drawing
Schnyder woods are decompositions of simple triangulations into three edge-disjoint spanning trees crossing each other in a specific way. In this article, we define a generalizatio...
Olivier Bernardi, Éric Fusy
APPROX
2005
Springer
122views Algorithms» more  APPROX 2005»
15 years 5 months ago
Finding a Maximum Independent Set in a Sparse Random Graph
We consider the problem of finding a maximum independent set in a random graph. The random graph G, which contains n vertices, is modelled as follows. Every edge is included inde...
Uriel Feige, Eran Ofek