scientific article; zbMATH DE number 3195967

From MaRDI portal
Publication:5732334

zbMath0121.18401MaRDI QIDQ5732334

Tibor Gallai

Publication date: 1963


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (76)

On the dichromatic number of surfacesOn DP-coloring of graphs and multigraphsAntidirected paths in 5-chromatic digraphsPoint partition numbers: decomposable and indecomposable critical graphsA better lower bound on average degree of 4-list-critical graphsSix-Critical Graphs on the Klein BottleDigraphs and Variable DegeneracyNote on a conjecture of ToftA class of edge critical 4-chromatic graphsOn matroids induced by packing subgraphsSmallest \(C_{2 \ell + 1}\)-critical graphs of odd-girth \(2 k + 1\)Extension from precoloured sets of edgesColor-critical graphs on a fixed surfaceBeyond degree choosabilityOn the minimum number of edges in triangle-free 5-critical graphsOn constructive methods in the theory of colour-critical graphsThe minimum number of edges in 4-critical digraphs of given orderInduced graph packing problemsA note on chromatic number and induced odd cyclesWeak degeneracy of graphsThe Fractional Chromatic Number of \(\boldsymbol{K_{\Delta }}\)-Free GraphsA proof of Tomescu's graph coloring conjectureGeneralized DP-colorings of graphsGraphs with chromatic number close to maximum degreeOn the edge-density of 4-critical graphsThe enumeration problem for color critical linear hypergraphsVarious bounds on the minimum number of arcs in a \(k\)-dicritical digraphSome results on \(k\)-critical \(P_5\)-free graphsCritical hypergraphs for the weak chromatic numberA new lower bound on the number of edges in colour-critical graphs and hypergraphsOn an adjacency property of almost all tournamentsReplication in critical graphs and the persistence of monomial idealsOn graphs critical with respect to vertex partition numbersUnnamed ItemOre's conjecture on color-critical graphs is almost trueOn 4-chromatic Schrijver graphs: their structure, non-3-colorability, and critical edgesColoring Triangle-Free Graphs on SurfacesColoring near-quadrangulations of the cylinder and the torusOn the number of edges in hypergraphs critical with respect to strong colouringsCritical \((P_6, \mathrm{banner})\)-free graphsOrientations of graphs with prescribed weighted out-degreesOn 4-critical planar graphs with high edge densityDegree choosable signed graphsApproximating maximum independent sets by excluding subgraphsThe edge density of critical digraphsPartitioning sparse graphs into an independent set and a forest of bounded degreeA Brooks type theorem for the maximum local edge connectivityA better lower bound on average degree of online \(k\)-list-critical graphsThe fractional chromatic number of triangle-free graphs with \(\varDelta \leq 3\)Excess in critical graphsCounterexamples to Grötzsch-Sachs-Koester's conjectureColor-critical graphs have logarithmic circumferenceColoring vertices and faces of maps on surfacesFive-coloring graphs on the Klein bottleApproximating maximum independent sets by excluding subgraphsOn Ks,t minors in (s+t)-chromatic graphsIndependent sets in \(n\)-vertex \(k\)-chromatic \(\ell \)-connected graphsImproved lower bounds on the number of edges in list critical and online list critical graphsOre-type versions of Brooks' theoremGood characterizations for some degree constrained subgraphs\(k\)-critical graphs in \(P_5\)-free graphsPlanar 4-critical graphs with four triangles\(k\)-critical graphs in \(P_5\)-free graphsThe orientable genus of the join of a cycle and a complete graphHajós and Ore constructions for digraphsOn the minimal number of edges in color-critical graphsOn critical subgraphs of colour-critical graphsCover and variable degeneracyColour-critical graphs and hypergraphsOn list critical graphs4-chromatic graphs with large odd girthColour-critical graphs with few edgesSome Conjectures and Questions in Chromatic Topological Graph TheoryDistributed coloring in sparse graphs with fewer colorsSparse colour-critical hypergraphsSquarefree monomial ideals that fail the persistence property and non-increasing depth




This page was built for publication: