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Graph Theory
Title
Author(s)
Imp.¹
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Cores of Cayley graphs
Samal
✭✭
0
Coloring
»
Homomorphisms
Robert Samal
5-flow conjecture
Tutte
✭✭✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
4-flow conjecture
Tutte
✭✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
3-flow conjecture
Tutte
✭✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Jaeger's modular orientation conjecture
Jaeger
✭✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Bouchet's 6-flow conjecture
Bouchet
✭✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
The three 4-flows conjecture
DeVos
✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
A homomorphism problem for flows
DeVos
✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Real roots of the flow polynomial
Welsh
✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Unit vector flows
Jain
✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Cycle double cover conjecture
Seymour
;
Szekeres
✭✭✭✭
0
Basic G.T.
»
Cycles
mdevos
The circular embedding conjecture
Haggard
✭✭✭
0
Basic G.T.
»
Cycles
mdevos
(m,n)-cycle covers
Celmins
;
Preissmann
✭✭✭
0
Basic G.T.
»
Cycles
mdevos
Faithful cycle covers
Seymour
✭✭✭
0
Basic G.T.
»
Cycles
mdevos
Decomposing eulerian graphs
✭✭✭
0
Basic G.T.
»
Cycles
mdevos
The Berge-Fulkerson conjecture
Berge
;
Fulkerson
✭✭✭✭
0
Basic G.T.
»
Matchings
mdevos
Petersen coloring conjecture
Jaeger
✭✭✭
0
Coloring
»
Edge coloring
mdevos
Packing T-joins
DeVos
✭✭
0
Coloring
»
Edge coloring
mdevos
Acyclic edge-colouring
Fiamcik
✭✭
0
Coloring
»
Edge coloring
mdevos
Partitioning edge-connectivity
DeVos
✭✭
0
Basic G.T.
»
Connectivity
mdevos
Highly connected graphs with no K_n minor
Thomas
✭✭✭
0
Basic G.T.
»
Minors
mdevos
Jorgensen's Conjecture
Jorgensen
✭✭✭
0
Basic G.T.
»
Minors
mdevos
The stubborn list partition problem
Cameron
;
Eschen
;
Hoang
;
Sritharan
✭✭
0
Graph Algorithms
mdevos
57-regular Moore graph?
Hoffman
;
Singleton
✭✭✭
0
Algebraic G.T.
mdevos
Hamiltonian paths and cycles in vertex transitive graphs
Lovasz
✭✭✭
0
Algebraic G.T.
mdevos
The Erdös-Hajnal Conjecture
Erdos
;
Hajnal
✭✭✭
0
Extremal G.T.
mdevos
Graham's conjecture on tree reconstruction
Graham
✭✭
0
Basic G.T.
mdevos
Ryser's conjecture
Ryser
✭✭✭
0
Hypergraphs
mdevos
Pentagon problem
Nesetril
✭✭✭
0
Coloring
»
Homomorphisms
Robert Samal
The Two Color Conjecture
Neumann-Lara
✭✭
0
Directed Graphs
mdevos
Linial-Berge path partition duality
Berge
;
Linial
✭✭✭
0
Coloring
berger
Strong colorability
Aharoni
;
Alon
;
Haxell
✭✭✭
0
Coloring
»
Vertex coloring
berger
Consecutive non-orientable embedding obstructions
✭✭✭
0
Topological G.T.
»
Genus
Bruce Richter
Grunbaum's Conjecture
Grunbaum
✭✭✭
0
Topological G.T.
»
Coloring
mdevos
Woodall's Conjecture
Woodall
✭✭✭
0
Directed Graphs
mdevos
A generalization of Vizing's Theorem?
Rosenfeld
✭✭
0
Coloring
»
Edge coloring
mdevos
The Crossing Number of the Complete Graph
✭✭✭
0
Topological G.T.
»
Crossing numbers
Robert Samal
The Crossing Number of the Complete Bipartite Graph
Turan
✭✭✭
0
Topological G.T.
»
Crossing numbers
Robert Samal
The Crossing Number of the Hypercube
Erdos
;
Guy
✭✭
0
Topological G.T.
»
Crossing numbers
Robert Samal
Drawing disconnected graphs on surfaces
DeVos
;
Mohar
;
Samal
✭✭
0
Topological G.T.
»
Crossing numbers
mdevos
Antichains in the cycle continuous order
DeVos
✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Universal point sets for planar graphs
Mohar
✭✭✭
0
Topological G.T.
»
Drawings
mdevos
Seymour's self-minor conjecture
Seymour
✭✭✭
0
Infinite Graphs
mdevos
Reed's omega, delta, and chi conjecture
Reed
✭✭✭
0
Coloring
»
Vertex coloring
mdevos
Triangle free strongly regular graphs
✭✭✭
0
Algebraic G.T.
mdevos
Half-integral flow polynomial values
Mohar
✭✭
0
Algebraic G.T.
mohar
Unions of triangle free graphs
Erdos
;
Hajnal
✭✭✭
0
Infinite Graphs
mdevos
Ramsey properties of Cayley graphs
Alon
✭✭✭
0
Algebraic G.T.
mdevos
Barnette's Conjecture
Barnette
✭✭✭
0
Basic G.T.
»
Cycles
Robert Samal
List colorings of edge-critical graphs
Mohar
✭✭
0
Coloring
»
Edge coloring
Robert Samal
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