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Graph Theory
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Author(s)
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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
Weighted colouring of hexagonal graphs.
McDiarmid
;
Reed
✭✭
0
Coloring
»
Vertex coloring
fhavet
Partitionning a tournament into k-strongly connected subtournaments.
Thomassen
✭✭
0
Directed Graphs
»
Tournaments
fhavet
PTAS for feedback arc set in tournaments
Ailon
;
Alon
✭✭
0
Graph Algorithms
fhavet
Decomposing k-arc-strong tournament into k spanning strong digraphs
Bang-Jensen
;
Yeo
✭✭
0
Directed Graphs
»
Tournaments
fhavet
The Bollobás-Eldridge-Catlin Conjecture on graph packing
✭✭✭
0
Extremal G.T.
asp
Signing a graph to have small magnitude eigenvalues
Bilu
;
Linial
✭✭
0
mdevos
Are almost all graphs determined by their spectrum?
✭✭✭
0
mdevos
Arc-disjoint directed cycles in regular directed graphs
Alon
;
McDiarmid
;
Molloy
✭✭
0
Directed Graphs
fhavet
Minimum number of arc-disjoint transitive subtournaments of order 3 in a tournament
Yuster
✭✭
0
fhavet
Cyclic spanning subdigraph with small cyclomatic number
Bondy
✭✭
0
Directed Graphs
fhavet
Large acyclic induced subdigraph in a planar oriented graph.
Harutyunyan
✭✭
0
Directed Graphs
fhavet
Erdős-Posa property for long directed cycles
Havet
;
Maia
✭✭
0
Directed Graphs
fhavet
Erdős–Faber–Lovász conjecture
Erdos
;
Faber
;
Lovasz
✭✭✭
0
Coloring
»
Vertex coloring
Jon Noel
2-colouring a graph without a monochromatic maximum clique
Hoang
;
McDiarmid
✭✭
0
Coloring
»
Vertex coloring
Jon Noel
Kriesell's Conjecture
Kriesell
✭✭
0
Basic G.T.
»
Connectivity
Jon Noel
List Total Colouring Conjecture
Borodin
;
Kostochka
;
Woodall
✭✭
0
Coloring
Jon Noel
Imbalance conjecture
Kozerenko
✭✭
0
Sergiy Kozerenko
List Hadwiger Conjecture
Kawarabayashi
;
Mohar
✭✭
0
Coloring
»
Vertex coloring
David Wood
Chromatic Number of Common Graphs
Hatami
;
Hladký
;
Kráľ
;
Norine
;
Razborov
✭✭
0
David Wood
Circular flow number of regular class 1 graphs
Steffen
✭✭
0
Coloring
»
Nowhere-zero flows
Eckhard Steffen
Circular flow numbers of $r$-graphs
Steffen
✭✭
0
Eckhard Steffen
Cycles in Graphs of Large Chromatic Number
Brewster
;
McGuinness
;
Moore
;
Noel
✭✭
0
Coloring
»
Vertex coloring
Jon Noel
3-Decomposition Conjecture
Arthur
;
Hoffmann-Ostenhof
✭✭✭
0
arthur
Monochromatic reachability in arc-colored digraphs
Sands
;
Sauer
;
Woodrow
✭✭✭
0
Directed Graphs
fhavet
Cycle Double Covers Containing Predefined 2-Regular Subgraphs
Arthur
;
Hoffmann-Ostenhof
✭✭✭
0
arthur
Sidorenko's Conjecture
Sidorenko
✭✭✭
0
Jon Noel
Multicolour Erdős--Hajnal Conjecture
Erdos
;
Hajnal
✭✭✭
0
Extremal G.T.
Jon Noel
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