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Graph Theory


TitleAuthor(s)Imp.¹Rec.²Topic » Subtopicsort iconPosted by
Hamiltonian cycles in powers of infinite graphsGeorgakopoulos✭✭0Infinite GraphsRobert Samal
Universal highly arc transitive digraphsCameron; Praeger; Wormald✭✭✭0Infinite Graphsmdevos
Unfriendly partitionsCowan; Emerson✭✭✭0Infinite Graphsmdevos
Strong matchings and coversAharoni✭✭✭0Infinite Graphsmdevos
Highly arc transitive two ended digraphsCameron; Praeger; Wormald✭✭0Infinite Graphsmdevos
End-Devouring RaysGeorgakopoulos✭1Infinite GraphsAgelos
Characterizing (aleph_0,aleph_1)-graphsDiestel; Leader✭✭✭0Infinite Graphsmdevos
Coloring random subgraphsBukh✭✭0Probabilistic G.T.mdevos
Negative association in uniform forestsPemantle✭✭0Probabilistic G.T.mdevos
Chromatic number of random lifts of complete graphsAmit✭✭0Probabilistic G.T.DOT
Domination in plane triangulationsMatheson; Tarjan✭✭0Topological G.T.mdevos
Large induced forest in a planar graph.Abertson; Berman✭✭0Topological G.T.fhavet
Every 4-connected toroidal graph has a Hamilton cycleGrunbaum; Nash-Williams✭✭0Topological G.T.fhavet
Grunbaum's ConjectureGrunbaum✭✭✭0Topological G.T. » Coloringmdevos
5-local-tensionsDeVos✭✭0Topological G.T. » Coloringmdevos
Degenerate colorings of planar graphsBorodin✭✭✭0Topological G.T. » Coloringmdevos
3-Colourability of Arrangements of Great CirclesFelsner; Hurtado; Noy; Streinu✭✭1Topological G.T. » ColoringDavid Wood
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
Crossing sequencesArchdeacon; Bonnington; Siran✭✭0Topological G.T. » Crossing numbersRobert Samal
Crossing numbers and coloringAlbertson✭✭✭0Topological G.T. » Crossing numbersmdevos
Are different notions of the crossing number the same?Pach; Tóth✭✭✭0Topological G.T. » Crossing numberscibulka
Universal point sets for planar graphsMohar✭✭✭0Topological G.T. » Drawingsmdevos
Linear Hypergraphs with Dimension 3Ossona de Mendez; Rosenstiehl; de Fraysseix✭✭0Topological G.T. » Drawingstaxipom
Consecutive non-orientable embedding obstructions✭✭✭0Topological G.T. » GenusBruce Richter
What is the largest graph of positive curvature?DeVos; Mohar✭1Topological G.T. » Planar graphsmdevos

Imp.¹: Importance (Low ✭, Medium ✭✭, High ✭✭✭, Outstanding ✭✭✭✭)
Rec.²: Recommended for undergraduates.

Note: Resolved problems from this section may be found in Solved problems.

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