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» The Complexity of Graph Connectivity
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ESA
2003
Springer
189views Algorithms» more  ESA 2003»
14 years 2 months ago
On the Complexity of Approximating TSP with Neighborhoods and Related Problems
We prove that various geometric covering problems, related to the Travelling Salesman Problem cannot be efficiently approximated to within any constant factor unless P = NP. This ...
Shmuel Safra, Oded Schwartz
JCT
2011
86views more  JCT 2011»
13 years 3 months ago
Circumference of 3-connected claw-free graphs and large Eulerian subgraphs of 3-edge-connected graphs
The circumference of a graph is the length of its longest cycles. Results of Jackson, and Jackson and Wormald, imply that the circumference of a 3-connected cubic n-vertex graph i...
Mark Bilinski, Bill Jackson, Jie Ma, Xingxing Yu
IM
2007
13 years 9 months ago
Growing Protean Graphs
Abstract. The web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to ano...
Pawel Pralat, Nicholas C. Wormald
GBRPR
2009
Springer
14 years 3 months ago
Computing and Visualizing a Graph-Based Decomposition for Non-manifold Shapes
Modeling and understanding complex non-manifold shapes is a key issue in shape analysis and retrieval. The topological structure of a non-manifold shape can be analyzed through its...
Leila De Floriani, Daniele Panozzo, Annie Hui
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
13 years 8 months ago
Minimum Connected Dominating Sets of Random Cubic Graphs
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
William Duckworth