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DAM
2008
83views more  DAM 2008»
13 years 5 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
DAM
2008
74views more  DAM 2008»
13 years 5 months ago
A distributional study of the path edge-covering numbers for random trees
Abstract. We study for various tree families the distribution of the number of edgedisjoint paths required to cover the edges of a random tree of size n. For all tree families cons...
Alois Panholzer
DAM
2008
88views more  DAM 2008»
13 years 5 months ago
Stochastic applications of media theory: Random walks on weak orders or partial orders
This paper presents the axioms of a real time random walk on the set of states of a medium and some of their consequences, such as the asymptotic probabilities of the states. The ...
Jean-Claude Falmagne, Yung-Fong Hsu, Fabio Leite, ...
DAM
2008
68views more  DAM 2008»
13 years 5 months ago
Multiple packing in sum-type metric spaces
We present the exact solution of the asymptotics of the multiple packing problem in a finite space with a sum-type metric. 1 Consider the space Qn of n-tuples over a finite set Q ...
Rudolf Ahlswede, Vladimir Blinovsky
DAM
2008
112views more  DAM 2008»
13 years 5 months ago
On the correlation of binary sequences
Rudolf Ahlswede, Julien Cassaigne, András S...
DAM
2008
83views more  DAM 2008»
13 years 5 months ago
Multi-group support vector machines with measurement costs: A biobjective approach
Support Vector Machine has shown to have good performance in many practical classification settings. In this paper we propose, for multi-group classification, a biobjective optimi...
Emilio Carrizosa, Belen Martin-Barragan, Dolores R...
DAM
2008
88views more  DAM 2008»
13 years 5 months ago
On the asymmetric representatives formulation for the vertex coloring problem
We consider the vertex coloring problem, which may be stated as the problem of minimizing the number of labels that can be assigned to the vertices of a graph G such that each ver...
Manoel B. Campêlo, Victor A. Campos, Ricardo...
DAM
2008
101views more  DAM 2008»
13 years 5 months ago
Longest alternating subsequences of k-ary words
Recently, Stanley [13] studied the length of the longest alternating subsequence of a permutation in the symmetric group, where a sequence a, b, c, d, . . . is alternating if a &g...
Toufik Mansour
DAM
2008
145views more  DAM 2008»
13 years 5 months ago
Graph coloring in the estimation of sparse derivative matrices: Instances and applications
We describe a graph coloring problem associated with the determination of mathematical derivatives. The coloring instances are obtained as intersection graphs of row partitioned s...
Shahadat Hossain, Trond Steihaug