Graph Theory


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Cores of Cayley graphsSamal✭✭✭✭✭0Coloring » HomomorphismsRobert Samal
5-flow conjectureTutte✭✭✭✭0Coloring » Nowhere-zero flowsmdevos
4-flow conjectureTutte✭✭✭0Coloring » Nowhere-zero flowsmdevos
3-flow conjectureTutte✭✭✭0Coloring » Nowhere-zero flowsmdevos
Jaeger's modular orientation conjectureJaeger✭✭✭0Coloring » Nowhere-zero flowsmdevos
Bouchet's 6-flow conjectureBouchet✭✭✭0Coloring » Nowhere-zero flowsmdevos
The three 4-flows conjectureDeVos✭✭0Coloring » Nowhere-zero flowsmdevos
A homomorphism problem for flowsDeVos✭✭0Coloring » Nowhere-zero flowsmdevos
Real roots of the flow polynomialWelsh✭✭0Coloring » Nowhere-zero flowsmdevos
Unit vector flowsJain✭✭0Coloring » Nowhere-zero flowsmdevos
Cycle double cover conjectureSeymour; Szekeres✭✭✭✭0Basic G.T. » Cyclesmdevos
The circular embedding conjectureHaggard✭✭✭0Basic G.T. » Cyclesmdevos
(m,n)-cycle coversCelmins; Preissmann✭✭✭0Basic G.T. » Cyclesmdevos
Faithful cycle coversSeymour✭✭✭0Basic G.T. » Cyclesmdevos
Decomposing eulerian graphs✭✭✭0Basic G.T. » Cyclesmdevos
The Berge-Fulkerson conjectureBerge; Fulkerson✭✭✭✭0Basic G.T. » Matchingsmdevos
Petersen coloring conjectureJaeger✭✭✭0Coloring » Edge coloringmdevos
Packing T-joinsDeVos✭✭0Coloring » Edge coloringmdevos
Acyclic edge-colouringFiamcik✭✭0Coloring » Edge coloringmdevos
Partitioning edge-connectivityDeVos✭✭0Basic G.T. » Connectivitymdevos
Highly connected graphs with no K_n minorThomas✭✭✭0Basic G.T. » Minorsmdevos
Jorgensen's ConjectureJorgensen✭✭✭0Basic G.T. » Minorsmdevos
The stubborn list partition problemCameron; Eschen; Hoang; Sritharan✭✭0Graph Algorithmsmdevos
57-regular Moore graph?Hoffman; Singleton✭✭✭0Algebraic G.T.mdevos
Hamiltonian paths and cycles in vertex transitive graphsLovasz✭✭✭0Algebraic G.T.mdevos
The Erdös-Hajnal ConjectureErdos; Hajnal✭✭✭0Extremal G.T.mdevos
Graham's conjecture on tree reconstructionGraham✭✭0Basic G.T.mdevos
Ryser's conjectureRyser✭✭✭0Hypergraphsmdevos
Pentagon problemNesetril✭✭✭0Coloring » HomomorphismsRobert Samal
The Two Color ConjectureNeumann-Lara✭✭0Directed Graphsmdevos
Linial-Berge path partition dualityBerge; Linial✭✭✭0Coloringberger
Strong colorabilityAharoni; Alon; Haxell✭✭✭0Coloring » Vertex coloringberger
Consecutive non-orientable embedding obstructions✭✭✭0Topological G.T. » GenusBruce Richter
Grunbaum's ConjectureGrunbaum✭✭✭0Topological G.T. » Coloringmdevos
Woodall's ConjectureWoodall✭✭✭0Directed Graphsmdevos
A generalization of Vizing's Theorem?Rosenfeld✭✭0Coloring » Edge coloringmdevos
The Crossing Number of the Complete Graph✭✭✭0Topological G.T. » Crossing numbersRobert Samal
The Crossing Number of the Complete Bipartite GraphTuran✭✭✭0Topological G.T. » Crossing numbersRobert Samal
The Crossing Number of the HypercubeErdos; Guy✭✭0Topological G.T. » Crossing numbersRobert Samal
Drawing disconnected graphs on surfacesDeVos; Mohar; Samal✭✭0Topological G.T. » Crossing numbersmdevos
Antichains in the cycle continuous orderDeVos✭✭0Coloring » Nowhere-zero flowsmdevos
Universal point sets for planar graphsMohar✭✭✭0Topological G.T. » Drawingsmdevos
Seymour's self-minor conjectureSeymour✭✭✭0Infinite Graphsmdevos
Reed's omega, delta, and chi conjectureReed✭✭✭0Coloring » Vertex coloringmdevos
Triangle free strongly regular graphs✭✭✭0Algebraic G.T.mdevos
Half-integral flow polynomial valuesMohar✭✭0Algebraic G.T.mohar
Unions of triangle free graphsErdos; Hajnal✭✭✭0Infinite Graphsmdevos
Ramsey properties of Cayley graphsAlon✭✭✭0Algebraic G.T.mdevos
Barnette's ConjectureBarnette✭✭✭0Basic G.T. » CyclesRobert Samal
List colorings of edge-critical graphsMohar✭✭0Coloring » Edge coloringRobert Samal
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