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STACS
2004
Springer
15 years 12 months ago
Lattices with Many Cycles Are Dense
Abstract We give a method for approximating any n-dimensional lattice with a lattice Λ whose factor group Zn /Λ has n − 1 cycles of equal length with arbitrary precision. We al...
Mårten Trolin
WG
2004
Springer
15 years 12 months ago
Planar Graphs, via Well-Orderly Maps and Trees
The family of well-orderly maps is a family of planar maps with the property that every connected planar graph has at least one plane embedding which is a well-orderly map. We show...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
WG
2004
Springer
15 years 12 months ago
Finding k Disjoint Triangles in an Arbitrary Graph
We consider the NP-complete problem of deciding whether an input graph on n vertices has k vertex-disjoint copies of a fixed graph H. For H = K3
Mike Fellows, Pinar Heggernes, Frances A. Rosamond...
WG
2004
Springer
15 years 12 months ago
Minimal de Bruijn Sequence in a Language with Forbidden Substrings
Let be the following strategy to construct a walk in a labeled digraph: at each vertex, we follow the unvisited arc of minimum label. In this work we study for which languages, app...
Eduardo Moreno, Martín Matamala
FOCS
2003
IEEE
15 years 12 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis