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MFCS
2004
Springer
15 years 11 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
DAM
2010
86views more  DAM 2010»
15 years 6 months ago
Minimum fill-in and treewidth of split+ke and split+kv graphs
In this paper we investigate how graph problems that are NP-hard in general, but polynomially solvable on split graphs, behave on input graphs that are close to being split. For t...
Federico Mancini
ICFEM
2000
Springer
15 years 10 months ago
Formal Treatment of a Family of Fixed-Point Problems on Graphs by CafeOBJ
A family of well known problems on graphs includingthe shortest path problem and the data flow analysis problem can be uniformly formulated as a fixed-point problem on graphs. We ...
Tetsuo Tamai
CORR
2008
Springer
150views Education» more  CORR 2008»
15 years 6 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica
ALGORITHMICA
2010
188views more  ALGORITHMICA 2010»
15 years 6 months ago
The 1-Fixed-Endpoint Path Cover Problem is Polynomial on Interval Graphs
Abstract We consider a variant of the path cover problem, namely, the k-fixedendpoint path cover problem, or kPC for short, on interval graphs. Given a graph G and a subset T of k ...
Katerina Asdre, Stavros D. Nikolopoulos