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DAM
2006
47views more  DAM 2006»
13 years 9 months ago
Trees of extremal connectivity index
The connectivity index w(G) of a graph G is the sum of the weights (d(u)d(v)) of all edges uv of G, where is a real number ( = 0), and d(u) denotes the degree of the vertex u. Le...
Huiqing Liu, Mei Lu, Feng Tian
JCT
2006
69views more  JCT 2006»
13 years 9 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
DAM
1999
169views more  DAM 1999»
13 years 9 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
COLING
2010
13 years 4 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
UAI
2008
13 years 10 months ago
Clique Matrices for Statistical Graph Decomposition and Parameterising Restricted Positive Definite Matrices
We introduce Clique Matrices as an alternative representation of undirected graphs, being a generalisation of the incidence matrix representation. Here we use clique matrices to d...
David Barber