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ENDM
2007
75views more  ENDM 2007»
14 years 9 months ago
Graph classes with given 3-connected components: asymptotic counting and critical phenomena
Fix a family T of 3-connected graphs, and let G be the class of graphs whose 3connected components are the graphs in T . We present a general framework for analyzing such graph cl...
Omer Giménez, Marc Noy, Juan José Ru...
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
15 years 3 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
95
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ECCC
2010
92views more  ECCC 2010»
14 years 8 months ago
Logspace Versions of the Theorems of Bodlaender and Courcelle
Bodlaender’s Theorem states that for every k there is a linear-time algorithm that decides whether an input graph has tree width k and, if so, computes a width-k tree compositio...
Michael Elberfeld, Andreas Jakoby, Till Tantau
WADS
2007
Springer
121views Algorithms» more  WADS 2007»
15 years 3 months ago
Cauchy's Theorem and Edge Lengths of Convex Polyhedra
In this paper we explore, from an algorithmic point of view, the extent to which the facial angles and combinatorial structure of a convex polyhedron determine the polyhedron—in ...
Therese C. Biedl, Anna Lubiw, Michael J. Spriggs
ISMVL
2010
IEEE
188views Hardware» more  ISMVL 2010»
15 years 2 months ago
MDGs Reduction Technique Based on the HOL Theorem Prover
—Multiway Decision Graphs (MDGs) subsume Binary Decision Diagrams (BDDs) and extend them by a first-order formulae suitable for model checking of data path circuits. In this pap...
Sa'ed Abed, Otmane Aït Mohamed