IJAC
2007
13 years 5 months ago
2007
Abstract. Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to tra...
ORL
2006
13 years 5 months ago
2006
We consider the problem of packing two-dimensional rectangles into the minimum number of unit squares, when 90 rotations are allowed. Our main contribution is a polynomial-time al...
DAM
2007
13 years 5 months ago
2007
We study the problem of uniformly partitioning the edge set of a tree with n edges into k connected components, where k ≤ n. The objective is to minimize the ratio of the maximu...
JDA
2008
13 years 5 months ago
2008
Partitioning a permutation into a minimum number of monotone subsequences is NP-hard. We extend this complexity result
CORR
2007
Springer
13 years 5 months ago
2007
Springer
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
EOR
2006
13 years 5 months ago
2006
In this paper, a multi-period assignment problem is studied that arises as part of a weekly planning problem at mail processing and distribution centers. These facilities contain ...
DM
2006
13 years 5 months ago
2006
For an oriented graph G with n vertices, let f(G) denote the minimum number of transitive subtournaments that decompose G. We prove several results on f(G). In particular, if G is...
COMBINATORICS
2006
13 years 5 months ago
2006
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...
COMBINATORICS
2006
13 years 5 months ago
2006
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that -----(u)(v) is an arc in H whenever...
COMBINATORICS
2006
13 years 5 months ago
2006
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...