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» On A Graph Formalism for Ordered Edges
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ENDM
2002
91views more  ENDM 2002»
15 years 5 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
GD
2006
Springer
15 years 9 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
EJC
2010
15 years 6 months ago
Connectivity of chamber graphs of buildings and related complexes
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
Anders Björner, Kathrin Vorwerk
GD
2003
Springer
15 years 11 months ago
An Energy Model for Visual Graph Clustering
We introduce an energy model whose minimum energy drawings reveal the clusters of the drawn graph. Here a cluster is a set of nodes with many internal edges and few edges to nodes ...
Andreas Noack
FOCS
2008
IEEE
16 years 15 days ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...