Recent Activity
List Total Colouring Conjecture ★★
Author(s): Borodin; Kostochka; Woodall
Keywords: list coloring; Total coloring; total graphs
Partitioning the Projective Plane ★★
Author(s): Noel
Throughout this post, by projective plane we mean the set of all lines through the origin in .
Keywords: Partitioning; projective plane
Kriesell's Conjecture ★★
Author(s): Kriesell
Keywords: Disjoint paths; edge-connectivity; spanning trees
2-colouring a graph without a monochromatic maximum clique ★★
Keywords: maximum clique; Partitioning
Almost all non-Hamiltonian 3-regular graphs are 1-connected ★★
Author(s): Haythorpe
Is it true that ?
Erdős–Faber–Lovász conjecture ★★★
Author(s): Erdos; Faber; Lovasz
Keywords: chromatic number
Are there only finite Fermat Primes? ★★★
Author(s):
Keywords:
Are all Fermat Numbers square-free? ★★★
Author(s):
Keywords:
Choosability of Graph Powers ★★
Author(s): Noel
Keywords: choosability; chromatic number; list coloring; square of a graph
Erdős-Posa property for long directed cycles ★★
Keywords:
Large acyclic induced subdigraph in a planar oriented graph. ★★
Author(s): Harutyunyan
Keywords:
Polignac's Conjecture ★★★
Author(s): de Polignac
In particular, this implies:
Alexa's Conjecture on Primality ★★
Author(s): Alexa
Keywords: primality
P vs. BPP ★★★
Author(s): Folklore
Keywords: BPP; circuit complexity; pseudorandom generators
Goldbach conjecture ★★★★
Author(s): Goldbach
Keywords: additive basis; prime
Goldberg's conjecture ★★★
Author(s): Goldberg
The overfull parameter is defined as follows:
Keywords: edge-coloring; multigraph
Cyclic spanning subdigraph with small cyclomatic number ★★
Author(s): Bondy
Keywords:
inverse of an integer matrix ★★
Author(s): Gregory
Keywords: invertable matrices, integer matrices
Minimum number of arc-disjoint transitive subtournaments of order 3 in a tournament ★★
Author(s): Yuster
Keywords:
Arc-disjoint directed cycles in regular directed graphs ★★
Author(s): Alon; McDiarmid; Molloy
Keywords: