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MFCS
2004
Springer
13 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...
STOC
2004
ACM
73views Algorithms» more  STOC 2004»
14 years 6 months ago
Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus
In this paper, we address two longstanding questions about finding good separators in graphs of bounded genus and degree:
Jonathan A. Kelner
CP
2005
Springer
13 years 11 months ago
Bounds of Graph Characteristics
Abstract. This report presents a basic scheme for deriving systematically a filtering algorithm from the graph properties based representation of global constraints. This scheme i...
Nicolas Beldiceanu, Thierry Petit, Guillaume Rocha...
SIAMDM
2008
140views more  SIAMDM 2008»
13 years 5 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
FOCS
2002
IEEE
13 years 10 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan