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Author(s)
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5-flow conjecture
Tutte
✭✭✭✭
0
Coloring
»
Nowhere-zero flows
mdevos
Cycle double cover conjecture
Seymour
;
Szekeres
✭✭✭✭
0
Basic G.T.
»
Cycles
mdevos
The Berge-Fulkerson conjecture
Berge
;
Fulkerson
✭✭✭✭
0
Basic G.T.
»
Matchings
mdevos
Reconstruction conjecture
Kelly
;
Ulam
✭✭✭✭
0
zitterbewegung
Caccetta-Häggkvist Conjecture
Caccetta
;
Häggkvist
✭✭✭✭
0
Directed Graphs
fhavet
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 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
Petersen coloring conjecture
Jaeger
✭✭✭
0
Coloring
»
Edge coloring
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
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
Ryser's conjecture
Ryser
✭✭✭
0
Hypergraphs
mdevos
Pentagon problem
Nesetril
✭✭✭
0
Coloring
»
Homomorphisms
Robert Samal
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
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
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
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
Mapping planar graphs to odd cycles
Jaeger
✭✭✭
0
Coloring
»
Homomorphisms
mdevos
Graceful Tree Conjecture
✭✭✭
0
Coloring
»
Labeling
kintali
r-regular graphs are not uniquely hamiltonian.
Sheehan
✭✭✭
0
Basic G.T.
»
Cycles
Robert Samal
Hamiltonian cycles in line graphs
Thomassen
✭✭✭
0
Basic G.T.
»
Cycles
Robert Samal
Coloring and immersion
Abu-Khzam
;
Langston
✭✭✭
1
Coloring
»
Vertex coloring
mdevos
Pebbling a cartesian product
Graham
✭✭✭
0
mdevos
Coloring the Odd Distance Graph
Rosenfeld
✭✭✭
0
Coloring
»
Vertex coloring
mdevos
Seymour's Second Neighbourhood Conjecture
Seymour
✭✭✭
1
Directed Graphs
nkorppi
Universal highly arc transitive digraphs
Cameron
;
Praeger
;
Wormald
✭✭✭
0
Infinite Graphs
mdevos
Unfriendly partitions
Cowan
;
Emerson
✭✭✭
0
Infinite Graphs
mdevos
Strong matchings and covers
Aharoni
✭✭✭
0
Infinite Graphs
mdevos
Chords of longest cycles
Thomassen
✭✭✭
0
Basic G.T.
»
Cycles
mdevos
Seagull problem
Seymour
✭✭✭
0
Basic G.T.
»
Minors
mdevos
Partial List Coloring
Albertson
;
Grossman
;
Haas
✭✭✭
0
Coloring
»
Vertex coloring
Iradmusa
Partial List Coloring
Iradmusa
✭✭✭
0
Coloring
»
Vertex coloring
Iradmusa
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Recent Activity
Chords of longest cycles
Do any three longest paths in a connected graph have a vertex in common?
Chromatic number of $\frac{3}{3}$-power of graph
3-Edge-Coloring Conjecture
r-regular graphs are not uniquely hamiltonian.
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