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» Obstacle Numbers of Graphs
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124
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JCT
2007
111views more  JCT 2007»
15 years 2 months ago
Removing even crossings
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
168
Voted
ICALP
2009
Springer
16 years 3 months ago
Counting Subgraphs via Homomorphisms
We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
Omid Amini, Fedor V. Fomin, Saket Saurabh
128
Voted
FOCS
2003
IEEE
15 years 8 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...
96
Voted
CORR
2010
Springer
144views Education» more  CORR 2010»
15 years 2 months ago
Hitting forbidden minors: Approximation and Kernelization
We study a general class of problems called F -Deletion problems. In an F -Deletion problem, we are asked whether a subset of at most k vertices can be deleted from a graph G such...
Fedor V. Fomin, Daniel Lokshtanov, Neeldhara Misra...
IPL
2006
95views more  IPL 2006»
15 years 2 months ago
Smaller superconcentrators of density 28
An N-superconcentrator is a directed, acyclic graph with N input nodes and N output nodes such that every subset of the inputs and every subset of the outputs of same cardinality ...
Uwe Schöning