On a closure concept in claw-free graphs

From MaRDI portal
Publication:1362093

DOI10.1006/jctb.1996.1732zbMath0872.05032OpenAlexW1967979192MaRDI QIDQ1362093

Zdeněk Ryjáček

Publication date: 12 August 1997

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.1996.1732




Related Items (only showing first 100 items - show all)

A \(\vec{P_3}\)-decomposition of tournaments and bipartite digraphsCircumferences of 3-connected claw-free graphs. II.Forbidden pairs of disconnected graphs for traceability in connected graphsEven factors with a bounded number of components in iterated line graphsHeavy subgraphs, stability and HamiltonicityMaximal K3's and Hamiltonicity of 4-connected claw-free graphsThomassen's conjecture implies polynomiality of 1-Hamilton-connectedness in line graphsClaw-free graphs and 2-factors that separate independent verticesTank-ring factors in supereulerian claw-free graphsPerfect matching transitivity of circulant graphs.Two forbidden subgraph pairs for Hamiltonicity of 3-connected graphsUnnamed ItemHamiltonian paths in spanning subgraphs of line graphsCycles through all finite vertex sets in infinite graphsA characterization of 2-connected \(\{ K_{1 , 3} , N_{3 , 1 , 1} \}\)-free non-Hamiltonian graphsDegree sums of adjacent vertices for traceability of claw-free graphsDegree and neighborhood conditions for Hamiltonicity of claw-free graphsSupereulerian graphs with small matching number and 2-connected hamiltonian claw-free graphsPolynomially determining spanning connectivity of locally connected line graphsStrongly even cycle decomposable 4-regular line graphs2-Factors in claw-free graphs with locally disconnected verticesOn Dominating Even Subgraphs in Cubic GraphsHamiltonicities of double domination critical and stable claw-free graphsTwo completely independent spanning trees of claw-free graphsGood orientations of unions of edge‐disjoint spanning treesHamilton-connected claw-free graphs with Ore-degree conditionsForbidden pairs of disconnected graphs for supereulerianity of connected graphsOn hamiltonian line graphs of hypergraphsForbidden pairs of disconnected graphs for 2‐factor of connected graphsOn components of 2-factors in claw-free graphsHamilton‐connected {claw, bull}‐free graphsHamilton‐connected {claw, net}‐free graphs, IHamiltonian connected hourglass free line graphsCompatible spanning circuits and forbidden induced subgraphsGroup connectivity and group colorings of graphs --- a surveyCircumferences of regular claw-free graphsOn Hamiltonicity of \{claw, net\}-free graphsOn the minimum degree of minimally 1-tough, triangle-free graphs and minimally 3/2-tough, claw-free graphsOn 2-factors with a bounded number of odd componentsRecent advances on the Hamiltonian problem: survey IIIForbidden Pairs of Disconnected Graphs Implying HamiltonicityHamiltonian claw-free graphs involving minimum degreesEven subgraphs of bridgeless graphs and 2-factors of line graphsOn the number of components in 2-factors of claw-free graphsOn factors of 4-connected claw-free graphsPancyclicity of 4‐Connected, Claw‐Free, P10‐Free GraphsForbidden subgraphs that imply 2-factorsA Closure for 1‐Hamilton‐Connectedness in Claw‐Free GraphsForbidden Subgraphs for Hamiltonicity of 3-Connected Claw-Free GraphsUnnamed ItemToughness in graphs -- a surveyHamiltonicity in 3-connected claw-free graphsEvery 3-connected, essentially 11-connected line graph is HamiltonianInduced Disjoint Paths in Claw-Free GraphsComputing Sharp 2-Factors in Claw-Free GraphsClosure operation for even factors on claw-free graphsEvery 3‐connected claw‐free Z 8 ‐free graph is Hamiltonian2-connected Hamiltonian claw-free graphs involving degree sum of adjacent verticesSupereulerian graphs with small circumference and 3-connected Hamiltonian claw-free graphs2-factors with bounded number of components in claw-free graphsHamilton circuits and essential girth of claw free graphsForbidden pairs and the existence of a dominating cycleHamiltonicity in Partly claw-free graphsEvery 4-connected line graph of a quasi claw-free graph is Hamiltonian connectedMinimal claw-free graphsQuartic Graphs with Every Edge in a TriangleOn stability of Hamilton-connectedness under the 2-closure in claw-free graphsLine graphs of multigraphs and Hamilton-connectedness of claw-free graphsOn the independence number of traceable 2-connected claw-free graphsHamiltonian connectedness in 4-connected hourglass-free claw-free graphsSpanning trails in a 2-connected graphHamilton cycles in 6-connected claw-free graphs (Extended abstract)Two operations on a graph preserving the (non)existence of 2-factors in its line graphThe local structure of claw-free graphs without induced generalized bullsStability of Hereditary Graph Classes Under Closure OperationsChvátal’s t 0-Tough ConjectureCircumference of essentially 4-connected planar triangulationsCharacterization of perfect matching transitive graphsCircumferences and Minimum Degrees in 3-Connected Claw-Free GraphsThe Dominating Circuit Conjecture and Subgraphs of Essentially 4-Edge Connected Cubic GraphsContractible Subgraphs, Thomassen's Conjecture and the Dominating Cycle Conjecture for SnarksEquivalence of Jackson's and Thomassen's conjecturesHamiltonian claw-free graphs with locally disconnected verticesCircumferences of 3-connected claw-free graphsHamiltonian line graphs with local degree conditionsFour forbidden subgraph pairs for Hamiltonicity of 3-connected graphsA twelve vertex theorem for 3-connected claw-free graphsSolution to a problem on Hamiltonicity of graphs under Ore- and Fan-type heavy subgraph conditionsA note on edge-disjoint Hamilton cycles in line graphsHamiltonian claw-free graphs and \(o\)-heavy graphs involving induced cyclesHamiltonian cycles in spanning subgraphs of line graphsClosure for \(\{K_{1,4},K_{1,4} + e\}\)-free graphsHamiltonicity and restricted degree conditions on induced subgraphs in claw-free graphs. IICharacterizing forbidden pairs for relative length of longest paths and cyclesSharp upper bounds on the minimum number of components of 2-factors in claw-free graphsHamilton-connectivity of line graphs with application to their detour indexOn the \(s\)-hamiltonianicity of an hourglass-free line graphA note on 3-connected hourglass-free claw-free Hamilton-connected graphsOn Hamiltonicity of regular graphs with bounded second neighborhoodsHamilton cycles in line graphs of 3-hypergraphs



Cites Work


This page was built for publication: On a closure concept in claw-free graphs