Graphs with prescribed connectivities
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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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-... 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) …
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 … 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) and connectivity ý( G). On the connectivity of diamond-free graphs …
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 … WebJan 1, 2006 · G. Chartrand, A graph-theoretic approach to a communications problem. J. SIAM Appl. Math. 14 (1966) 778–781. CrossRef MathSciNet MATH Google Scholar G. Chartrand and F. Harary, Graphs with prescribed connectivities. Theory of Graphs (P. Erdös and G. Katona, Eds.) Akadémiai Kiadó, Budapest, 1968, 61–63.
WebJan 7, 2010 · G. Gentile, in Encyclopedia of Mathematical Physics, 2006 Graphs and Trees. A (connected) graph G is a collection of points, called vertices, and lines connecting all …
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 … cycloplegic mechanism of actionWebconnectivities 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 ... cyclophyllidean tapewormsWebconnectivities 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 … cycloplegic refraction slideshareWebminimal 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]. cyclophyllum coprosmoidesWebAbstract. 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 … cyclopiteWebgraph 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: cyclop junctionsWebWe introduce a new definition of connectivity which measures cohesion in graphs in a way which satisfies our intuitive concepts about connectivity of graphs. Several basic properties of the definition are proved including the result that spanning ... cycloplegic mydriatics