Graphs with prescribed connectivities
WebSep 1, 2024 · Request PDF On Sep 1, 2024, B.A. Terebin and others published On the optimality of graph implementations with prescribed connectivities Find, read and cite all the research you need on ... WebRendiconti del Circolo Matematico di Palermo Series 2 - G. Chartrand and F. Harary,Graphs with prescribed connectivities, 1966, Symp. on Graph Theory, Tihany, Acad ...
Graphs with prescribed connectivities
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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: WebChartrand and Harary [Graphs with prescribed connectivities, in: P. Erdös, G. Katona (Eds.), Theory of Graphs, Aca... Let G be a graph of order n( G), minimum degree ý( G) …
WebAbstract. A 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 … WebOct 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 …
WebDOI: 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. 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].
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 …
Webscanpy.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) … ttc shutdownWebJan 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. … ttc shipWebJan 1, 2006 · Abstract. Relationships between the minimum degree of a connected graph and its connectivity (or edge-connectivity) are discussed. We give a sufficient condition for a connected graph G to contain at least two nonadjacent vertices of degree κ (G), where κ (G) denotes the connectivity of G. Download conference paper PDF. ttc shuttleWebconnectivities from s to all vertices can be computed in O(nω/2)time. For general directed graphs, we show that all pairs edge connectivities can be computed in one matrix inverse time, instead of solving linear equations for each source vertex separately. The algorithm is faster when m=O(n1.93),for example when m = O(n) it takes O(nω) time ... ttc smash heusdenWebTen major topics ? profusely illustrated ? include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party … ttc shutdown scheduleWebA 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-... ttc snitch lineWebThe 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 … phoenician surnames