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 ... 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 …
Graphs with prescribed connectivities
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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 … 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:
WebJul 31, 2006 · Since interconnection networks are often modeled by graphs or digraphs, the connectivity of a (di-)graph is an important measurement for fault tolerance of networks. … WebCHA 66 G. Chartrand, "A Graph Theoretic Approach to the Communication Problem", SIAM J. Appl. Math 14, 778--781 (1966). Google Scholar Cross Ref; CHA 68 G. Chartrand and F. Harary, "Graphs with Prescribed Connectivities", in Theory of Graphs, 61--63 (P. Erdos and G. Katona, eds.) Budapest, 1968 Google Scholar
WebOct 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 … 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. …
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 … driving licence photo checkWeb10 rows · Graphs with Prescribed Connectivities. The connectivity kappa (G) of a graph G is the minimum ... driving licence online apply lahoreWebscanpy.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) … driving licence nycWebJan 1, 2008 · Graphs with prescribed connectivities P. Erdös , G. Katona (Eds.) , Theory of Graphs , Academic Press , London, New York, San Francisco ( 1968 ) , pp. 61 - 63 View in Scopus Google Scholar driving licence provisionally driveWebconnectivities 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 … driving licence print out downloadWebABSTRACT 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. driving licence phone number swanseaWebChartrand 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 … driving licence on death uk