Graph Theory

TitleAuthor(s)Imp.¹Rec.²Topic » SubtopicPosted bysort icon
Decomposing an eulerian graph into cycles.Hajós✭✭0Basic G.T. » Cyclesfhavet
Decomposing an eulerian graph into cycles with no two consecutives edges on a prescribed eulerian tour.Sabidussi✭✭0Basic G.T. » Cyclesfhavet
Partition of a cubic 3-connected graphs into paths of length 2.Kelmans✭✭0Basic G.T. » Pathsfhavet
Lovász Path Removal ConjectureLovasz✭✭0fhavet
Large induced forest in a planar graph.Abertson; Berman✭✭0Topological G.T.fhavet
Subdivision of a transitive tournament in digraphs with large outdegree. Mader✭✭0Directed Graphsfhavet
Turán number of a finite family.Erdos; Simonovits✭✭0fhavet
Subgraph of large average degree and large girth.Thomassen✭✭0Basic G.T.fhavet
Complexity of the H-factor problem.Kühn; Osthus✭✭0Extremal G.T.fhavet
Simultaneous partition of hypergraphsKühn; Osthus✭✭0Hypergraphsfhavet
Odd-cycle transversal in triangle-free graphsErdos; Faudree; Pach; Spencer✭✭0Extremal G.T.fhavet
Triangle-packing vs triangle edge-transversal.Tuza✭✭0Extremal G.T.fhavet
Earth-Moon ProblemRingel✭✭1Coloring » Vertex coloringfhavet
Acyclic list colouring of planar graphs.Borodin; Fon-Der-Flasss; Kostochka; Raspaud; Sopena✭✭✭0Coloring » Vertex coloringfhavet
Every 4-connected toroidal graph has a Hamilton cycleGrunbaum; Nash-Williams✭✭0Topological G.T.fhavet
Switching reconstruction conjectureStanley✭✭0fhavet
Switching reconstruction of digraphsBondy; Mercier✭✭0fhavet
Hamilton cycle in small d-diregular graphsJackson✭✭0Directed Graphsfhavet
Edge-disjoint Hamilton cycles in highly strongly connected tournaments.Thomassen✭✭0Directed Graphs » Tournamentsfhavet
Hoàng-Reed ConjectureHoang; Reed✭✭✭0Directed Graphsfhavet
Every prism over a 3-connected planar graph is hamiltonian.Kaiser; Král; Rosenfeld; Ryjácek; Voss✭✭0Basic G.T. » Cyclesfhavet
4-connected graphs are not uniquely hamiltonianFleischner✭✭0Basic G.T. » Cyclesfhavet
Turán's problem for hypergraphsTuran✭✭0Hypergraphsfhavet
Hamilton decomposition of prisms over 3-connected cubic planar graphsAlspach; Rosenfeld✭✭0Basic G.T. » Cyclesfhavet
List chromatic number and maximum degree of bipartite graphsAlon✭✭0Coloring » Vertex coloringfhavet
Colouring the square of a planar graphWegner✭✭0Coloring » Vertex coloringfhavet
Weighted colouring of hexagonal graphs.McDiarmid; Reed✭✭0Coloring » Vertex coloringfhavet
Partitionning a tournament into k-strongly connected subtournaments.Thomassen✭✭0Directed Graphs » Tournamentsfhavet
PTAS for feedback arc set in tournamentsAilon; Alon✭✭0Graph Algorithmsfhavet
Decomposing k-arc-strong tournament into k spanning strong digraphsBang-Jensen; Yeo✭✭0Directed Graphs » Tournamentsfhavet
Arc-disjoint directed cycles in regular directed graphsAlon; McDiarmid; Molloy✭✭0Directed Graphsfhavet
Minimum number of arc-disjoint transitive subtournaments of order 3 in a tournamentYuster✭✭0fhavet
Cyclic spanning subdigraph with small cyclomatic numberBondy✭✭0Directed Graphsfhavet
Large acyclic induced subdigraph in a planar oriented graph.Harutyunyan✭✭0Directed Graphsfhavet
Erdős-Posa property for long directed cyclesHavet; Maia✭✭0Directed Graphsfhavet
Monochromatic reachability in arc-colored digraphsSands; Sauer; Woodrow✭✭✭0Directed Graphsfhavet
Odd cycles and low oddness✭✭0Gagik
Three-chromatic (0,2)-graphsPayan✭✭0ColoringGordon Royle
Partial List ColoringAlbertson; Grossman; Haas✭✭✭0Coloring » Vertex coloringIradmusa
Partial List ColoringIradmusa✭✭✭0Coloring » Vertex coloringIradmusa
Total Colouring ConjectureBehzad✭✭✭0ColoringIradmusa
Vertex Coloring of graph fractional powersIradmusa✭✭✭1Iradmusa
Approximation Ratio for Maximum Edge Disjoint Paths problemBentz✭✭0jcmeyer
Approximation ratio for k-outerplanar graphsBentz✭✭0jcmeyer
Finding k-edge-outerplanar graph embeddingsBentz✭✭0jcmeyer
Algorithm for graph homomorphismsFomin; Heggernes; Kratsch✭✭0Coloring » Homomorphismsjfoniok
Matchings extend to Hamiltonian cycles in hypercubesRuskey; Savage✭✭1Basic G.T. » MatchingsJirka
Mixing Circular ColouringsBrewster; Noel1Coloring » Vertex coloringJon Noel
Choice Number of k-Chromatic Graphs of Bounded OrderNoel✭✭1Coloring » Vertex coloringJon Noel
Bounding the on-line choice number in terms of the choice numberZhu✭✭1Coloring » Vertex coloringJon Noel
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