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DM
2008
89views more  DM 2008»
15 years 7 months ago
Combinatorics of sequential dynamical systems
In this paper we study sequential dynamical systems (SDS) over words. Our main result is the classification of SDS over words for fixed graphY and family of local maps (Fvi ) by m...
Christian M. Reidys
JCT
2007
140views more  JCT 2007»
15 years 7 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr
STACS
2010
Springer
16 years 2 months ago
Beyond Bidimensionality: Parameterized Subexponential Algorithms on Directed Graphs
In 2000 Alber et al. [SWAT 2000 ] obtained the first parameterized subexponential algorithm on undirected planar graphs by showing that k-DOMINATING SET is solvable in time 2O( ...
Frederic Dorn, Fedor V. Fomin, Daniel Lokshtanov, ...
CATS
2008
15 years 8 months ago
Graph Classes and the Complexity of the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph with edge weights, we are asked to find an orientation, i.e., an assignment of a direction to each edge, so as to minimize the weighted maximum outdegree...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono
GD
2007
Springer
16 years 1 months ago
Simultaneous Geometric Graph Embeddings
We consider the following problem known as simultaneous geometric graph embedding (SGE). Given a set of planar graphs on a shared vertex set, decide whether the vertices can be pla...
Alejandro Estrella-Balderrama, Elisabeth Gassner, ...