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DM
2008
145views more  DM 2008»
13 years 7 months ago
Clique coverings and partitions of line graphs
A clique in a graph G is a complete subgraph of G. A clique covering (partition) of G is a collection C of cliques such that each edge of G occurs in at least (exactly) one clique...
Bo-Jr Li, Gerard J. Chang
DAM
2011
13 years 2 months ago
Minimum sum set coloring of trees and line graphs of trees
In this paper, we study the Minimum Sum Set Coloring (MSSC) problem which consists in assigning a set of x(v) positive integers to each vertex v of a graph so that the intersectio...
Flavia Bonomo, Guillermo Durán, Javier Mare...
DCG
2010
93views more  DCG 2010»
13 years 7 months ago
The Number of Generalized Balanced Lines
Let S be a set of r red points and b = r +2 blue points in general position in the plane. A line determined by them is said to be balanced if in each open half-plane bounded by th...
David Orden, Pedro Ramos, Gelasio Salazar
CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 7 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 9 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák