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DAM
2006
79views more  DAM 2006»
13 years 10 months ago
A simple expected running time analysis for randomized "divide and conquer" algorithms
There are many randomized "divide and conquer" algorithms, such as randomized Quicksort, whose operation involves partitioning a problem of size n uniformly at random int...
Brian C. Dean
DAM
2006
81views more  DAM 2006»
13 years 10 months ago
Equivalence-free exhaustive generation of matroid representations
Abstract. In this paper we present an algorithm for the problem of exhaustive equivalence-free generation of 3-connected matroids which are represented by a matrix over some finite...
Petr Hlinený
DAM
2006
47views more  DAM 2006»
13 years 10 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
DAM
2006
172views more  DAM 2006»
13 years 10 months ago
A Branch-and-Cut algorithm for graph coloring
In a previous work, we proposed a new integer programming formulation for the graph coloring problem which, to a certain extent, avoids symmetry. We studied the facet structure of...
Isabel Méndez-Díaz, Paula Zabala
DAM
2006
100views more  DAM 2006»
13 years 10 months ago
On the colored Tutte polynomial of a graph of bounded treewidth
We observe that a formula given by S. Negami [Trans. Amer. Math. Soc. 299 (1987), 601-622] for the Tutte polynomial of a k-sum of two graphs generalizes to a colored Tutte polynom...
Lorenzo Traldi