Graph Theory

TitleAuthor(s)Imp.¹Rec.²Topic » SubtopicPosted bysort icon
Reconstruction conjectureKelly; Ulam✭✭✭✭0zitterbewegung
Matching cut and girth✭✭0w
Shuffle-Exchange Conjecture (graph-theoretic form)Beneš; Folklore; Stone✭✭✭0Vadim Lioubimov
Beneš Conjecture (graph-theoretic form)Beneš✭✭✭0Vadim Lioubimov
Hamiltonicity of Cayley graphsRapaport-Strasser✭✭✭1Basic G.T. » Cyclestchow
Frankl's union-closed sets conjectureFrankl✭✭0Hypergraphstchow
Edge list coloring conjecture✭✭✭0Coloring » Edge coloringtchow
Shannon capacity of the seven-cycle✭✭✭0tchow
Linear Hypergraphs with Dimension 3Ossona de Mendez; Rosenstiehl; de Fraysseix✭✭0Topological G.T. » Drawingstaxipom
Extremal problem on the number of tree endomorphismZhicong Lin✭✭1Extremal G.T.shudeshijie
Imbalance conjectureKozerenko✭✭0Sergiy Kozerenko
Circular choosability of planar graphsMohar0Coloring » Homomorphismsrosskang
Cores of Cayley graphsSamal✭✭✭✭✭0Coloring » HomomorphismsRobert Samal
Pentagon problemNesetril✭✭✭0Coloring » HomomorphismsRobert Samal
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
Barnette's ConjectureBarnette✭✭✭0Basic G.T. » CyclesRobert Samal
List colorings of edge-critical graphsMohar✭✭0Coloring » Edge coloringRobert Samal
Laplacian Degrees of a GraphGuo✭✭0Algebraic G.T.Robert Samal
Weak pentagon problemSamal✭✭0Coloring » HomomorphismsRobert Samal
r-regular graphs are not uniquely hamiltonian.Sheehan✭✭✭0Basic G.T. » CyclesRobert Samal
Infinite uniquely hamiltonian graphsMohar✭✭0Infinite GraphsRobert Samal
Hamiltonian cycles in line graphsThomassen✭✭✭0Basic G.T. » CyclesRobert Samal
Hamiltonian cycles in line graphs of infinite graphsGeorgakopoulos✭✭0Infinite GraphsRobert Samal
Hamiltonian cycles in powers of infinite graphsGeorgakopoulos✭✭0Infinite GraphsRobert Samal
Oriented chromatic number of planar graphs✭✭0Coloring » Vertex coloringRobert Samal
Crossing sequencesArchdeacon; Bonnington; Siran✭✭0Topological G.T. » Crossing numbersRobert Samal
Star chromatic index of cubic graphsDvorak; Mohar; Samal✭✭0Robert Samal
Star chromatic index of complete graphsDvorak; Mohar; Samal✭✭1Robert Samal
Seymour's Second Neighbourhood ConjectureSeymour✭✭✭1Directed Graphsnkorppi
Half-integral flow polynomial valuesMohar✭✭0Algebraic G.T.mohar
Almost all non-Hamiltonian 3-regular graphs are 1-connectedHaythorpe✭✭1Basic G.T.mhaythorpe
Edge Reconstruction ConjectureHarary✭✭✭0melch
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
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