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ENDM
2008
142views more  ENDM 2008»
13 years 7 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 2 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
SIAMDM
2008
101views more  SIAMDM 2008»
13 years 7 months ago
On Planar Quasi-Parity Graphs
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...
Cláudia Linhares Sales, Frédé...
GC
2007
Springer
13 years 7 months ago
On the Maximum Number of Cliques in a Graph
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) graphs with n vertices and m ...
David R. Wood
NETWORKS
2010
13 years 5 months ago
Fixed-parameter tractability results for full-degree spanning tree and its dual
We provide first-time fixed-parameter tractability results for the NP-complete problems Maximum Full-Degree Spanning Tree and Minimum-Vertex Feedback Edge Set. These problems are...
Jiong Guo, Rolf Niedermeier, Sebastian Wernicke