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ESA
2006
Springer
112views Algorithms» more  ESA 2006»
13 years 8 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...
ISAAC
2005
Springer
106views Algorithms» more  ISAAC 2005»
13 years 9 months ago
Generating Cut Conjunctions and Bridge Avoiding Extensions in Graphs
Let G = (V, E) be an undirected graph, and let B ⊆ V × V be a collection of vertex pairs. We give an incremental polynomial time algorithm to enumerate all minimal edge sets X â...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...
JCT
2007
90views more  JCT 2007»
13 years 4 months 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
GC
2007
Springer
13 years 4 months ago
Gray Code Enumeration of Plane Straight-Line Graphs
We develop Gray code enumeration schemes for geometric graphs in the plane. The considered graph classes include plane straight-line graphs, plane spanning trees, and connected pl...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
JACM
2000
119views more  JACM 2000»
13 years 4 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle