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COMBINATORICS
2006
132views more  COMBINATORICS 2006»
14 years 12 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
Christine T. Cheng
NETWORKS
2008
14 years 11 months ago
A linear programming approach to increasing the weight of all minimum spanning trees
Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so tha...
Mourad Baïou, Francisco Barahona
JCT
2006
69views more  JCT 2006»
14 years 12 months ago
The Bergman complex of a matroid and phylogenetic trees
We study the Bergman complex B(M) of a matroid M: a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural su...
Federico Ardila, Caroline J. Klivans
COLING
2010
14 years 6 months ago
Automatic analysis of semantic similarity in comparable text through syntactic tree matching
We propose to analyse semantic similarity in comparable text by matching syntactic trees and labeling the alignments according to one of five semantic similarity relations. We pre...
Erwin Marsi, Emiel Krahmer
DCG
2007
58views more  DCG 2007»
14 years 12 months ago
Harmonic Algebraic Curves and Noncrossing Partitions
Motivated by Gauss’s first proof of the Fundamental Theorem of Algebra, we study the topology of harmonic algebraic curves. By the maximum principle, a harmonic curve has no bou...
Jeremy L. Martin, David Savitt, Ted Singer