Graph Theory

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Are different notions of the crossing number the same?Pach; Tóth✭✭✭0Topological G.T. » Crossing numberscibulka
Beneš Conjecture (graph-theoretic form)Beneš✭✭✭0Vadim Lioubimov
Strong 5-cycle double cover conjectureArthur; Hoffmann-Ostenhof✭✭✭1Basic G.T. » Cyclesarthur
Vertex Coloring of graph fractional powersIradmusa✭✭✭1Iradmusa
Oriented trees in n-chromatic digraphsBurr✭✭✭0Directed Graphsfhavet
Decomposing an even tournament in directed paths.Alspach; Mason; Pullman✭✭✭0Directed Graphs » Tournamentsfhavet
Directed path of length twice the minimum outdegreeThomassé✭✭✭0Directed Graphsfhavet
Ádám's ConjectureÁdám✭✭✭0Directed Graphsfhavet
Splitting a digraph with minimum outdegree constraintsAlon✭✭✭0Directed Graphsfhavet
Long directed cycles in diregular digraphsJackson✭✭✭0Directed Graphsfhavet
Decomposing a connected graph into paths.Gallai✭✭✭0Basic G.T. » Pathsfhavet
Acyclic list colouring of planar graphs.Borodin; Fon-Der-Flasss; Kostochka; Raspaud; Sopena✭✭✭0Coloring » Vertex coloringfhavet
Hoàng-Reed ConjectureHoang; Reed✭✭✭0Directed Graphsfhavet
The Bollobás-Eldridge-Catlin Conjecture on graph packing✭✭✭0Extremal G.T.asp
Are almost all graphs determined by their spectrum?✭✭✭0mdevos
Erdős–Faber–Lovász conjectureErdos; Faber; Lovasz✭✭✭0Coloring » Vertex coloringJon Noel
3-Decomposition ConjectureArthur; Hoffmann-Ostenhof✭✭✭0arthur
Monochromatic reachability in arc-colored digraphsSands; Sauer; Woodrow✭✭✭0Directed Graphsfhavet
Cycle Double Covers Containing Predefined 2-Regular SubgraphsArthur; Hoffmann-Ostenhof✭✭✭0arthur
Monochromatic vertex colorings inherited from Perfect Matchings✭✭✭1Mario Krenn
Sidorenko's ConjectureSidorenko✭✭✭0Jon Noel
Multicolour Erdős--Hajnal ConjectureErdos; Hajnal✭✭✭0Extremal G.T.Jon Noel
5-flow conjectureTutte✭✭✭✭0Coloring » Nowhere-zero flowsmdevos
Cycle double cover conjectureSeymour; Szekeres✭✭✭✭0Basic G.T. » Cyclesmdevos
The Berge-Fulkerson conjectureBerge; Fulkerson✭✭✭✭0Basic G.T. » Matchingsmdevos
Reconstruction conjectureKelly; Ulam✭✭✭✭0zitterbewegung
Caccetta-Häggkvist ConjectureCaccetta; Häggkvist✭✭✭✭0Directed Graphsfhavet
Cores of Cayley graphsSamal✭✭✭✭✭0Coloring » HomomorphismsRobert Samal
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