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MST
2010
86views more  MST 2010»
13 years 2 months ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke
ESA
2006
Springer
112views Algorithms» more  ESA 2006»
13 years 11 months ago
Enumerating Spanning and Connected Subsets in Graphs and Matroids
We show that enumerating all minimal spanning and connected subsets of a given matroid is quasi-polynomially equivalent to the well-known hypergraph transversal problem, and thus ...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...
GD
2004
Springer
14 years 28 days ago
Layouts of Graph Subdivisions
A k-stack layout (respectively, k-queue layout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges wi...
Vida Dujmovic, David R. Wood
COCOON
2011
Springer
12 years 7 months ago
Finding Paths with Minimum Shared Edges
Motivated by a security problem in geographic information systems, we study the following graph theoretical problem: given a graph G, two special nodes s and t in G, and a number k...
Masoud T. Omran, Jörg-Rüdiger Sack, Hami...
JAL
2006
175views more  JAL 2006»
13 years 7 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin