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Graph Theory
Directed Graphs
Title
Author(s)
Imp.¹
Rec.²
Subtopic
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The Two Color Conjecture
Neumann-Lara
✭✭
0
mdevos
Woodall's Conjecture
Woodall
✭✭✭
0
mdevos
The Bermond-Thomassen Conjecture
Bermond
;
Thomassen
✭✭
0
JS
Seymour's Second Neighbourhood Conjecture
Seymour
✭✭✭
1
nkorppi
Non-edges vs. feedback edge sets in digraphs
Chudnovsky
;
Seymour
;
Sullivan
✭✭✭
0
mdevos
Oriented trees in n-chromatic digraphs
Burr
✭✭✭
0
fhavet
Antidirected trees in digraphs
Addario-Berry
;
Havet
;
Linhares Sales
;
Reed
;
Thomassé
✭✭
0
fhavet
Directed path of length twice the minimum outdegree
Thomassé
✭✭✭
0
fhavet
Caccetta-Häggkvist Conjecture
Caccetta
;
Häggkvist
✭✭✭✭
0
fhavet
Ádám's Conjecture
Ádám
✭✭✭
0
fhavet
Splitting a digraph with minimum outdegree constraints
Alon
✭✭✭
0
fhavet
Long directed cycles in diregular digraphs
Jackson
✭✭✭
0
fhavet
Arc-disjoint out-branching and in-branching
Thomassen
✭✭
0
fhavet
Subdivision of a transitive tournament in digraphs with large outdegree.
Mader
✭✭
0
fhavet
Hamilton cycle in small d-diregular graphs
Jackson
✭✭
0
fhavet
Hoàng-Reed Conjecture
Hoang
;
Reed
✭✭✭
0
fhavet
Arc-disjoint directed cycles in regular directed graphs
Alon
;
McDiarmid
;
Molloy
✭✭
0
fhavet
Cyclic spanning subdigraph with small cyclomatic number
Bondy
✭✭
0
fhavet
Large acyclic induced subdigraph in a planar oriented graph.
Harutyunyan
✭✭
0
fhavet
Erdős-Posa property for long directed cycles
Havet
;
Maia
✭✭
0
fhavet
Monochromatic reachability in arc-colored digraphs
Sands
;
Sauer
;
Woodrow
✭✭✭
0
fhavet
Monochromatic reachability or rainbow triangles
Sands
;
Sauer
;
Woodrow
✭✭✭
0
Tournaments
mdevos
Decomposing an even tournament in directed paths.
Alspach
;
Mason
;
Pullman
✭✭✭
0
Tournaments
fhavet
Edge-disjoint Hamilton cycles in highly strongly connected tournaments.
Thomassen
✭✭
0
Tournaments
fhavet
Partitionning a tournament into k-strongly connected subtournaments.
Thomassen
✭✭
0
Tournaments
fhavet
Decomposing k-arc-strong tournament into k spanning strong digraphs
Bang-Jensen
;
Yeo
✭✭
0
Tournaments
fhavet
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(11)
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