Coloring

Also see: Graph Theory » Topological G.T. » Coloring
TitleAuthor(s)sort iconImp.¹Rec.²SubtopicPosted by
Graceful Tree Conjecture✭✭✭0Labelingkintali
Oriented chromatic number of planar graphs✭✭0Vertex coloringRobert Samal
Edge list coloring conjecture✭✭✭0Edge coloringtchow
Coloring and immersionAbu-Khzam; Langston✭✭✭1Vertex coloringmdevos
Strong colorabilityAharoni; Alon; Haxell✭✭✭0Vertex coloringberger
Partial List ColoringAlbertson; Grossman; Haas✭✭✭0Vertex coloringIradmusa
List Colourings of Complete Multipartite Graphs with 2 Big PartsAllagan✭✭1Vertex coloringJon Noel
Nonrepetitive colourings of planar graphsAlon N.; Grytczuk J.; Hałuszczak M.; Riordan O.✭✭0Vertex coloringDavid Wood
List chromatic number and maximum degree of bipartite graphsAlon✭✭0Vertex coloringfhavet
Good Edge LabelingsAraújo; Cohen; Giroire; Havet✭✭0LabelingDOT
Total Colouring ConjectureBehzad✭✭✭0Iradmusa
Linial-Berge path partition dualityBerge; Linial✭✭✭0berger
Acyclic list colouring of planar graphs.Borodin; Fon-Der-Flasss; Kostochka; Raspaud; Sopena✭✭✭0Vertex coloringfhavet
List Total Colouring ConjectureBorodin; Kostochka; Woodall✭✭0Jon Noel
Bouchet's 6-flow conjectureBouchet✭✭✭0Nowhere-zero flowsmdevos
Cycles in Graphs of Large Chromatic NumberBrewster; McGuinness; Moore; Noel✭✭0Vertex coloringJon Noel
Mixing Circular ColouringsBrewster; Noel1Vertex coloringJon Noel
The three 4-flows conjectureDeVos✭✭0Nowhere-zero flowsmdevos
A homomorphism problem for flowsDeVos✭✭0Nowhere-zero flowsmdevos
Packing T-joinsDeVos✭✭0Edge coloringmdevos
Antichains in the cycle continuous orderDeVos✭✭0Nowhere-zero flowsmdevos
Circular colouring the orthogonality graphDeVos; Ghebleh; Goddyn; Mohar; Naserasr✭✭0Vertex coloringmdevos
Erdős–Faber–Lovász conjectureErdos; Faber; Lovasz✭✭✭0Vertex coloringJon Noel
Double-critical graph conjectureErdos; Lovasz✭✭0Vertex coloringDFR
Strong edge colouring conjectureErdos; Nesetril✭✭0Edge coloringfhavet
Acyclic edge-colouringFiamcik✭✭0Edge coloringmdevos
Algorithm for graph homomorphismsFomin; Heggernes; Kratsch✭✭0Homomorphismsjfoniok
Are vertex minor closed classes chi-bounded?Geelen✭✭0Vertex coloringmdevos
Circular coloring triangle-free subcubic planar graphsGhebleh; Zhu✭✭0Vertex coloringmdevos
Goldberg's conjectureGoldberg✭✭✭0Edge coloringmdevos
Universal Steiner triple systemsGrannell; Griggs; Knor; Skoviera✭✭0Edge coloringmacajova
4-regular 4-chromatic graphs of high girthGrunbaum✭✭0mdevos
Graphs with a forbidden induced tree are chi-boundedGyarfas✭✭✭0Vertex coloringmdevos
Hedetniemi's ConjectureHedetniemi✭✭✭0Vertex coloringmdevos
2-colouring a graph without a monochromatic maximum cliqueHoang; McDiarmid✭✭0Vertex coloringJon Noel
Partial List ColoringIradmusa✭✭✭0Vertex coloringIradmusa
Jaeger's modular orientation conjectureJaeger✭✭✭0Nowhere-zero flowsmdevos
Petersen coloring conjectureJaeger✭✭✭0Edge coloringmdevos
Mapping planar graphs to odd cyclesJaeger✭✭✭0Homomorphismsmdevos
Unit vector flowsJain✭✭0Nowhere-zero flowsmdevos
List Hadwiger ConjectureKawarabayashi; Mohar✭✭0Vertex coloringDavid Wood
Bounding the chromatic number of triangle-free graphs with fixed maximum degreeKostochka; Reed✭✭0Vertex coloringAndrew King
Weighted colouring of hexagonal graphs.McDiarmid; Reed✭✭0Vertex coloringfhavet
Melnikov's valency-variety problemMelnikov0Vertex coloringasp
List colorings of edge-critical graphsMohar✭✭0Edge coloringRobert Samal
Circular choosability of planar graphsMohar0Homomorphismsrosskang
Pentagon problemNesetril✭✭✭0HomomorphismsRobert Samal
Choice Number of k-Chromatic Graphs of Bounded OrderNoel✭✭1Vertex coloringJon Noel
Choosability of Graph PowersNoel✭✭1Vertex coloringJon Noel
Three-chromatic (0,2)-graphsPayan✭✭0Gordon Royle
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