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» On Bounds for the k-Partitioning of Graphs
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80
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STACS
2010
Springer
15 years 5 months ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar
SIAMJO
2008
144views more  SIAMJO 2008»
14 years 10 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
72
Voted
JGT
2007
68views more  JGT 2007»
14 years 10 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein
79
Voted
DM
2000
158views more  DM 2000»
14 years 10 months ago
Bipartite Ramsey numbers and Zarankiewicz numbers
The Zarankiewicz number z(s, m) is the maximum number of edges in a subgraph of K(s, s) that does not contain K(m, m) as a subgraph. The bipartite Ramsey number b(m, n) is the lea...
Wayne Goddard, Michael A. Henning, Ortrud R. Oelle...
CORR
2002
Springer
95views Education» more  CORR 2002»
14 years 10 months ago
Qualitative Visualization of Distance Information
Different types of two- and three-dimensional representations of a finite metric space are studied that focus on the accurate representation of the linear order among the distance...
Jobst Heitzig