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» Minimum sum set coloring of trees and line graphs of trees
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IWPEC
2009
Springer
14 years 10 days ago
Boolean-Width of Graphs
Abstract. We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. For many graph problems this number is...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
SIAMDM
2010
194views more  SIAMDM 2010»
13 years 15 days ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
IWPEC
2009
Springer
14 years 10 days ago
What Makes Equitable Connected Partition Easy
We study the Equitable Connected Partition problem, which is the problem of partitioning a graph into a given number of partitions, such that each partition induces a connected sub...
Rosa Enciso, Michael R. Fellows, Jiong Guo, Iyad A...
APPROX
2010
Springer
154views Algorithms» more  APPROX 2010»
13 years 7 months ago
The Checkpoint Problem
In this paper, we consider the checkpoint problem in which given an undirected graph G, a set of sourcedestinations {(s1, t1), (s1, t1), . . . , (sk, tk)} and a set of fixed paths...
MohammadTaghi Hajiaghayi, Rohit Khandekar, Guy Kor...
CIE
2007
Springer
13 years 12 months ago
The Complexity Ecology of Parameters: An Illustration Using Bounded Max Leaf Number
In the framework of parameterized complexity, exploring how one parameter affects the complexity of a different parameterized (or unparameterized problem) is of general interest....
Michael R. Fellows, Frances A. Rosamond