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» Connectivity of addable graph classes
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90
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JCT
2007
90views more  JCT 2007»
15 years 21 days ago
Enumeration problems for classes of self-similar graphs
We describe a general construction principle for a class of self-similar graphs. For various enumeration problems, we show that this construction leads to polynomial systems of rec...
Elmar Teufl, Stephan Wagner
93
Voted
CORR
2008
Springer
135views Education» more  CORR 2008»
15 years 27 days ago
The Isomorphism Problem for Planar 3-Connected Graphs is in Unambiguous Logspace
The isomorphism problem for planar graphs is known to be efficiently solvable. For planar 3-connected graphs, the isomorphism problem can be solved by efficient parallel algorithm...
Thomas Thierauf, Fabian Wagner
ISCC
2006
IEEE
127views Communications» more  ISCC 2006»
15 years 6 months ago
Visualizing and Managing Network Topologies via Rectangular Dualization
Rectangular dualization is an effective, hierarchically oriented visualization method for network topologies and can be used in many other problems having in common with networks ...
Massimo Ancona, Walter Cazzola, Sara Drago, Gianlu...
83
Voted
FCT
2005
Springer
15 years 6 months ago
Reconstructing Many Partitions Using Spectral Techniques
A partitioning of a set of n items is a grouping of these items into k disjoint, equally sized classes. Any partition can be modeled as a graph. The items become the vertices of th...
Joachim Giesen, Dieter Mitsche
106
Voted
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
16 years 1 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine