Generalizaions of critical connectivity of graphs

From MaRDI portal
Publication:1115453

DOI10.1016/0012-365X(88)90216-6zbMath0664.05028MaRDI QIDQ1115453

W. Mader

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)




Related Items (50)

On the structure of \(C_3\)-critical minimal 6-connected graphsContractions, cycle double covers, and cyclic colorings in locally connected graphsA constructive characterization of 3-connected triangle-free graphs5-Shredders of Contraction-Critical 5-Connected GraphsThe symmetric (2k, k)-graphsOn \(k\)-critical connected line graphsOn local structure of 9- and 10-connected graphsContractible edges in \(k\)-connected infinite graphsCritical vertices in \(k\)-connected digraphsContractible edges in longest cyclesSplitting and contractible edges in 4-connected graphsNon-separating subgraphs in highly connected graphsRemovable edges in a spanning tree of a \(k\)-connected graphVertices of degree 6 in a contraction critically 6-connected graphThe new lower bound of the number of vertices of degree 5 in contraction critical 5-connected graphsConnectivity keeping edges in graphs with large minimum degreeContractible edges in non-separating cyclesContractible edges in \(k\)-connected graphs with some forbidden subgraphsThe removable edges and the contractible subgraphs of 5-connected graphsContractible edges in 2-connected locally finite graphsContractible edges in some k-connected graphsContractible edges in minimally \(k\)-connected graphsEvery DFS Tree of a 3‐Connected Graph Contains a Contractible EdgeThe contractible subgraph of 5-connected graphsRemovable edges in a 5-connected graph and a construction method of 5-connected graphsRemovable edges in cycles of a \(k\)-connected graphA new degree sum condition for the existence of a contractible edge in a \(\kappa\)-connected graphContractible edges in 7-connected graphsContractibility and the Hadwiger conjectureTrivially noncontractible edges in a contraction critically 5-connected graphA local structure theorem on 5-connected graphsA connected subgraph maintaining high connectivityThe number of vertices of degree 7 in a contraction-critical 7-connected graphSome properties of contraction-critical 5-connected graphsContractible non-edges in 3-connected infinite graphsOn the number of 4-contractible edges in 4-connected graphsDistribution of contractible edges in k-connected graphsRemovable edges in a \(k\)-connected graph and a construction method for \(k\)-connected graphsUnnamed ItemUnnamed ItemContractible non-edges in \(3\)-connected graphsThe \(k\)-critical \(2k\)-connected graphs for \(k\in\{3,4\}\)A constructive characterization of contraction critical 8-connected graphs with minimum degree 9A new lower bound on the number of trivially noncontractible edges in contraction critical 5-connected graphsHow to contract a vertex transitive 5-connected graphHigh connectivity keeping sets in graphs and digraphsContractible subgraphs in 3-connected graphsA degree sum condition for the existence of a contractible edge in a \(\kappa\)-connected graphContractible edges and triangles in \(k\)-connected graphsContractible and removable edges in 3-connected infinite graphs



Cites Work


This page was built for publication: Generalizaions of critical connectivity of graphs