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» A survey of the multiplier conjecture
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DM
2006
135views more  DM 2006»
13 years 4 months ago
Berge's conjecture on directed path partitions - a survey
Berge's conjecture from 1982 on path partitions in directed graphs generalizes and extends Dilworth's Theorem and the Greene-Kleitman Theorem which are well known for pa...
Irith Ben-Arroyo Hartman
ISVD
2007
IEEE
13 years 11 months ago
From the Kneser-Poulsen conjecture to ball-polyhedra via Voronoi diagrams
A very fundamental geometric problem on finite systems of spheres was independently phrased by Kneser (1955) and Poulsen (1954). According to their well-known conjecture if a fi...
Károly Bezdek
COMBINATORICS
2004
129views more  COMBINATORICS 2004»
13 years 4 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett
GC
2010
Springer
13 years 3 months ago
20 Years of Negami's Planar Cover Conjecture
In 1988, Seiya Negami published a conjecture stating that a graph G has a finite planar cover (i.e. a homomorphism from some planar graph onto G which maps the vertex neighbourhoo...
Petr Hlinený
IJMMS
2000
76views more  IJMMS 2000»
13 years 4 months ago
On the notion of interestingness in automated mathematical discovery
We survey five mathematical discovery programs by looking in detail at the discovery processes they illustrate and the success they've had. We focus on how they estimate the ...
Simon Colton, Alan Bundy, Toby Walsh