Open Problem Garden
login/create account
Home
»
Subject
Graph Theory
Title
Author(s)
Imp.¹
Rec.²
Topic » Subtopic
Posted by
Algorithm for graph homomorphisms
Fomin
;
Heggernes
;
Kratsch
✭✭
0
Coloring
»
Homomorphisms
jfoniok
Star chromatic index of cubic graphs
Dvorak
;
Mohar
;
Samal
✭✭
0
Robert Samal
Good Edge Labelings
Araújo
;
Cohen
;
Giroire
;
Havet
✭✭
0
Coloring
»
Labeling
DOT
Covering powers of cycles with equivalence subgraphs
✭
0
Andrew King
Matching cut and girth
✭✭
0
w
Forcing a $K_6$-minor
Barát
;
Joret
;
Wood
✭✭
0
Basic G.T.
»
Minors
David Wood
Circular choosability of planar graphs
Mohar
✭
0
Coloring
»
Homomorphisms
rosskang
Chromatic number of random lifts of complete graphs
Amit
✭✭
0
Probabilistic G.T.
DOT
The Borodin-Kostochka Conjecture
Borodin
;
Kostochka
✭✭
0
Andrew King
Oriented trees in n-chromatic digraphs
Burr
✭✭✭
0
Directed Graphs
fhavet
Decomposing an even tournament in directed paths.
Alspach
;
Mason
;
Pullman
✭✭✭
0
Directed Graphs
»
Tournaments
fhavet
Antidirected trees in digraphs
Addario-Berry
;
Havet
;
Linhares Sales
;
Reed
;
Thomassé
✭✭
0
Directed Graphs
fhavet
Directed path of length twice the minimum outdegree
Thomassé
✭✭✭
0
Directed Graphs
fhavet
Caccetta-Häggkvist Conjecture
Caccetta
;
Häggkvist
✭✭✭✭
0
Directed Graphs
fhavet
Ádám's Conjecture
Ádám
✭✭✭
0
Directed Graphs
fhavet
Stable set meeting all longest directed paths.
Laborde
;
Payan
;
Xuong N.H.
✭✭
0
fhavet
Splitting a digraph with minimum outdegree constraints
Alon
✭✭✭
0
Directed Graphs
fhavet
Long directed cycles in diregular digraphs
Jackson
✭✭✭
0
Directed Graphs
fhavet
Strong edge colouring conjecture
Erdos
;
Nesetril
✭✭
0
Coloring
»
Edge coloring
fhavet
Arc-disjoint out-branching and in-branching
Thomassen
✭✭
0
Directed Graphs
fhavet
Arc-disjoint strongly connected spanning subdigraphs
Bang-Jensen
;
Yeo
✭✭
0
fhavet
Coloring the union of degenerate graphs
Tarsi
✭✭
0
Coloring
fhavet
Do any three longest paths in a connected graph have a vertex in common?
Gallai
✭✭
0
fhavet
Melnikov's valency-variety problem
Melnikov
✭
0
Coloring
»
Vertex coloring
asp
Decomposing a connected graph into paths.
Gallai
✭✭✭
0
Basic G.T.
»
Paths
fhavet
Decomposing an eulerian graph into cycles.
Hajós
✭✭
0
Basic G.T.
»
Cycles
fhavet
Decomposing an eulerian graph into cycles with no two consecutives edges on a prescribed eulerian tour.
Sabidussi
✭✭
0
Basic G.T.
»
Cycles
fhavet
Partition of a cubic 3-connected graphs into paths of length 2.
Kelmans
✭✭
0
Basic G.T.
»
Paths
fhavet
Lovász Path Removal Conjecture
Lovasz
✭✭
0
fhavet
Large induced forest in a planar graph.
Abertson
;
Berman
✭✭
0
Topological G.T.
fhavet
Subdivision of a transitive tournament in digraphs with large outdegree.
Mader
✭✭
0
Directed Graphs
fhavet
Turán number of a finite family.
Erdos
;
Simonovits
✭✭
0
fhavet
Subgraph of large average degree and large girth.
Thomassen
✭✭
0
Basic G.T.
fhavet
Complexity of the H-factor problem.
Kühn
;
Osthus
✭✭
0
Extremal G.T.
fhavet
Simultaneous partition of hypergraphs
Kühn
;
Osthus
✭✭
0
Hypergraphs
fhavet
Odd-cycle transversal in triangle-free graphs
Erdos
;
Faudree
;
Pach
;
Spencer
✭✭
0
Extremal G.T.
fhavet
Triangle-packing vs triangle edge-transversal.
Tuza
✭✭
0
Extremal G.T.
fhavet
Acyclic list colouring of planar graphs.
Borodin
;
Fon-Der-Flasss
;
Kostochka
;
Raspaud
;
Sopena
✭✭✭
0
Coloring
»
Vertex coloring
fhavet
Every 4-connected toroidal graph has a Hamilton cycle
Grunbaum
;
Nash-Williams
✭✭
0
Topological G.T.
fhavet
Switching reconstruction conjecture
Stanley
✭✭
0
fhavet
Switching reconstruction of digraphs
Bondy
;
Mercier
✭✭
0
fhavet
Hamilton cycle in small d-diregular graphs
Jackson
✭✭
0
Directed Graphs
fhavet
Edge-disjoint Hamilton cycles in highly strongly connected tournaments.
Thomassen
✭✭
0
Directed Graphs
»
Tournaments
fhavet
Hoàng-Reed Conjecture
Hoang
;
Reed
✭✭✭
0
Directed Graphs
fhavet
Every prism over a 3-connected planar graph is hamiltonian.
Kaiser
;
Král
;
Rosenfeld
;
Ryjácek
;
Voss
✭✭
0
Basic G.T.
»
Cycles
fhavet
4-connected graphs are not uniquely hamiltonian
Fleischner
✭✭
0
Basic G.T.
»
Cycles
fhavet
Turán's problem for hypergraphs
Turan
✭✭
0
Hypergraphs
fhavet
Hamilton decomposition of prisms over 3-connected cubic planar graphs
Alspach
;
Rosenfeld
✭✭
0
Basic G.T.
»
Cycles
fhavet
List chromatic number and maximum degree of bipartite graphs
Alon
✭✭
0
Coloring
»
Vertex coloring
fhavet
Colouring the square of a planar graph
Wegner
✭✭
0
Coloring
»
Vertex coloring
fhavet
« first
‹ previous
1
2
3
4
5
next ›
last »
Navigate
more
Recent Activity
3-Edge-Coloring Conjecture
Several ways to apply a (multivalued) multiargument function to a family of filters
Jones' conjecture
Multicolour Erdős--Hajnal Conjecture
Sidorenko's Conjecture
more