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TCS
2008
13 years 10 months ago
Polyhedra genus theorem and Euler formula: A hypermap-formalized intuitionistic proof
This article presents formalized intuitionistic proofs for the polyhedra genus theorem, the Euler formula and a sufficient condition of planarity. They are based on a hypermap mod...
Jean-François Dufourd
DAM
1998
85views more  DAM 1998»
13 years 9 months ago
Separability Generalizes Dirac's Theorem
In our study of the extremities of a graph, we define a moplex as a maximal clique module the neighborhood of which is a minimal separator of the graph. This notion enables us to...
Anne Berry, Jean Paul Bordat
MPC
2010
Springer
147views Mathematics» more  MPC 2010»
14 years 2 months ago
Designing an Algorithmic Proof of the Two-Squares Theorem
We show a new and constructive proof of the two-squares theorem, based on a somewhat unusual, but very effective, way of rewriting the so-called extended Euclid’s algorithm. Rat...
João F. Ferreira
FOCS
2004
IEEE
14 years 1 months ago
An Approximate Max-Steiner-Tree-Packing Min-Steiner-Cut Theorem
Given an undirected multigraph G and a subset of vertices S V (G), the STEINER TREE PACKING problem is to find a largest collection of edge-disjoint trees that each connects S. T...
Lap Chi Lau
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 7 months ago
Schaefer's theorem for graphs
Schaefer's theorem is a complexity classification result for so-called Boolean constraint satisfaction problems: it states that every Boolean constraint satisfaction problem ...
Manuel Bodirsky, Michael Pinsker