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» On constructive characterizations of (k, l)-sparse graphs
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JGT
2010
84views more  JGT 2010»
13 years 9 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif
CORR
2010
Springer
198views Education» more  CORR 2010»
13 years 7 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
COMBINATORICS
2006
112views more  COMBINATORICS 2006»
13 years 11 months ago
More Forbidden Minors for Wye-Delta-Wye Reducibility
A graph is Y Y reducible if it can be reduced to isolated vertices by a sequence of series-parallel reductions and Y Y transformations. It is still an open problem to characterize...
Yaming Yu
FOCS
2008
IEEE
14 years 5 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...