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» Group connectivity of graphs with diameter at most 2
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CORR
2011
Springer
202views Education» more  CORR 2011»
14 years 6 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
DAM
2007
70views more  DAM 2007»
14 years 11 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur
COCOON
2001
Springer
15 years 4 months ago
Finding the Most Vital Node of a Shortest Path
In an undirected, 2-node connected graph G = (V, E) with positive real edge lengths, the distance between any two nodes r and s is the length of a shortest path between r and s in ...
Enrico Nardelli, Guido Proietti, Peter Widmayer
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
14 years 10 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
88
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CORR
2010
Springer
119views Education» more  CORR 2010»
14 years 11 months ago
Graph-Constrained Group Testing
Non-adaptive group testing involves grouping arbitrary subsets of n items into different pools. Each pool is then tested and defective items are identified. A fundamental question...
Mahdi Cheraghchi, Amin Karbasi, Soheil Mohajer, Ve...