Home

Open Problem Garden

  • Help
  • About
  • Contact
  login/create account
Home » Subject » Graph Theory

Coloring

Also see: Graph Theory » Topological G.T. » Coloring
TitleAuthor(s)Imp.¹Rec.²SubtopicPosted bysort icon
Hedetniemi's ConjectureHedetniemi✭✭✭0Vertex coloringmdevos
4-regular 4-chromatic graphs of high girthGrunbaum✭✭0mdevos
Counting 3-colorings of the hex latticeThomassen✭✭0Vertex coloringmdevos
Circular colouring the orthogonality graphDeVos; Ghebleh; Goddyn; Mohar; Naserasr✭✭0Vertex coloringmdevos
Seymour's r-graph conjectureSeymour✭✭✭0Edge coloringmdevos
Goldberg's conjectureGoldberg✭✭✭0Edge coloringmdevos
Graphs with a forbidden induced tree are chi-boundedGyarfas✭✭✭0Vertex coloringmdevos
Are vertex minor closed classes chi-bounded?Geelen✭✭0Vertex coloringmdevos
Cores of Cayley graphsSamal✭✭0HomomorphismsRobert Samal
Pentagon problemNesetril✭✭✭0HomomorphismsRobert Samal
List colorings of edge-critical graphsMohar✭✭0Edge coloringRobert Samal
Weak pentagon problemSamal✭✭0HomomorphismsRobert Samal
Oriented chromatic number of planar graphs✭✭0Vertex coloringRobert Samal
Circular choosability of planar graphsMohar✭0Homomorphismsrosskang
Edge list coloring conjecture✭✭✭0Edge coloringtchow

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

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

« first‹ previous12
Syndicate content

Navigate

  • Subject
    • Algebra (295)
    • Analysis (5)
    • Combinatorics (35)
    • Geometry (29)
    • Graph Theory (228)
      • Algebraic G.T. (8)
      • Basic G.T. (39)
      • Coloring (65)
        • Edge coloring (10)
        • Homomorphisms (6)
        • Labeling (2)
        • Nowhere-zero flows (11)
        • Vertex coloring (30)
      • Directed Graphs (26)
      • Extremal G.T. (9)
      • Graph Algorithms (3)
      • Hypergraphs (5)
      • Infinite Graphs (11)
      • Probabilistic G.T. (3)
      • Topological G.T. (18)
    • Group Theory (5)
    • Logic (10)
    • Number Theory (49)
    • PDEs (0)
    • Probability (1)
    • Theoretical Comp. Sci. (13)
    • Topology (40)
    • Unsorted (1)
  • Author index
  • Keyword index
  • more

Recent Activity

  • Nowhere-zero flows
  • Shuffle-Exchange Conjecture
  • Algebra
  • Seagull problem
  • Solution to the Lonely Runner Conjecture
more
Powered by  Drupal                       Hosted by  CSI of Charles University                       Content distributed under                       Disclaimer