Graphs with prescribed connectivities
Webminimal matroids with the prescribed connectivities. This formulation is reminiscent of the definition of an intertwine, which is a minor-minimal matroid containing two prescribed minors. For that reason we speak of the intertwining of connectivities. For graphs the result follows readily from Robertson and Seymour’s Graph Minors Theorem [11]. WebA graph G is locally n-connected (locally n-edge connected) if the neighborhood of each vertex of G is n-connected (n-edge connected). The local connectivity (local edge-connectivity) of G is the maximum n for which G is locally n-connected (locally n-...
Graphs with prescribed connectivities
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WebMar 24, 2024 · A connected graph is graph that is connected in the sense of a topological space, i.e., there is a path from any point to any other point in the graph. A graph that is … Webgraph to be 2-connected. In [1 i]t was shown tha it f every point of a graph G with p points has degree not less than (p + n — 2)/2, then G is n-connected. Posa's theorem th suggeste follow-s ing improvement. THEOREM. Let G be a graph with p(^ 2) points and let 1 ^ n < p. The follow-ing conditions are sufficient for G to be n-connected:
WebFeb 26, 2010 · A graph G (finite, undirected, and without loops or multiple lines) is n-connected if the removal of fewer than n points from G neither disconnects it nor reduces … WebOct 3, 2006 · This article presents a study of the connectivities of a graph as a function of other graph parameters such as the number of vertices, the maximum degree, and the …
WebRendiconti del Circolo Matematico di Palermo Series 2 - G. Chartrand and F. Harary,Graphs with prescribed connectivities, 1966, Symp. on Graph Theory, Tihany, Acad ... WebOct 25, 2011 · We present a new algebraic formulation to compute edge connectivities in a directed graph, using the ideas developed in network coding. This reduces the problem of computing edge connectivities to solving systems of linear equations, thus allowing us to use tools in linear algebra to design new algorithms. Using the algebraic formulation we …
WebJan 1, 2006 · These subgraph connectivity numbers are shown to be ordered by ω-1 \(\leqslant \hat \kappa \leqslant \hat \lambda \leqslant \hat \delta\) for any graph. …
WebThe theory of connectivity is extended from graphs to digraphs by introducing connectivity measures similar to the well-known point- and line-connectivities for graphs. Some simple upper and lower bounds are discussed for these parameters, and classes of digraphs are presented with various prescribed connectivities. The many equivalent formulations of … daniels health gastonia nc jobWebscanpy.tl.paga scanpy.tl. paga (adata, groups = None, use_rna_velocity = False, model = 'v1.2', neighbors_key = None, copy = False) Mapping out the coarse-grained connectivity structures of complex manifolds [Wolf19].. By quantifying the connectivity of partitions (groups, clusters) of the single-cell graph, partition-based graph abstraction (PAGA) … daniels healthcare ltdWebDOI: 10.1016/0012-365X(74)90129-0 Corpus ID: 45708414; Graphs with prescribed local connectivities @article{VanderJagt1974GraphsWP, title={Graphs with prescribed local connectivities}, author={Donald W. VanderJagt}, journal={Discret. daniels health easton paWebABSTRACT In this paper we extend the theory of connectivity from graphs to digraphs by introducing connectivity measures similar to the wellknown point- and line-connectivities for graphs. We discuss some simple upper and lower bounds for these parameters, and present classes of digraphs with various prescribed connectivities. daniel shedlock obituaryWebOct 11, 2024 · Generalizing well-known results of Erdős and Lovász, we show that every graph G contains a spanning k-partite subgraph H with λ (H) ≥ k − 1 k λ (G), where λ (G) is the edge-connectivity of G.In particular, together with a well-known result due to Nash-Williams and Tutte, this implies that every 7-edge-connected graph contains a spanning … daniels health gastonia ncWebJan 1, 1975 · Graphs with prescribed connectivities. P. Erdös, G. Katona (Eds.), Theory of Graphs, Academic Press, New York (1968), pp. 61-63. View in Scopus Google Scholar [2] M. Tainiter, Random graphs as Markov processes on the lattice of partitions, submitted. Google Scholar [3] birthdate.comWebOct 11, 2024 · We prove that every strong digraph has a spanning strong 3-partite subdigraph and that every strong semicomplete digraph on at least six vertices … birthdate change social security