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» The Complexity of Graph Connectivity
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DAM
2002
76views more  DAM 2002»
13 years 10 months ago
Block duplicate graphs and a hierarchy of chordal graphs
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
Martin Charles Golumbic, Uri N. Peled
ENDM
2010
110views more  ENDM 2010»
13 years 10 months ago
Modelling the Hop Constrained Connected Facility Location Problem on Layered Graphs
Gouveia et al. [3] show how to model the Hop Constrained Minimum Spanning tree problem as Steiner tree problem on a layered graph. Following their ideas, we provide three possibil...
Ivana Ljubic, Stefan Gollowitzer
STACS
2007
Springer
14 years 4 months ago
Testing Convexity Properties of Tree Colorings
A coloring of a graph is convex if it induces a partition of the vertices into connected subgraphs. Besides being an interesting property from a theoretical point of view, tests f...
Eldar Fischer, Orly Yahalom
RSA
2008
123views more  RSA 2008»
13 years 9 months ago
Generating unlabeled connected cubic planar graphs uniformly at random
We present an expected polynomial time algorithm to generate an unlabeled connected cubic planar graph uniformly at random. We first consider rooted connected cubic planar graphs, ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
TAMC
2009
Springer
14 years 4 months ago
Linear Kernel for Planar Connected Dominating Set
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set pr...
Daniel Lokshtanov, Matthias Mnich, Saket Saurabh