Graphs with prescribed connectivities
WebAug 23, 2024 · Let 'G' be a connected graph. The minimum number of vertices whose removal makes 'G' either disconnected or reduces 'G' in to a trivial graph is called its … 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 …
Graphs with prescribed connectivities
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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 … 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
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: 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 …
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) … WebJan 1, 2006 · Relationships between the minimum degree of a connected graph and its connectivity (or edge-connectivity) are discussed. We give a sufficient condition for a …
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 …
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 ... edinburgh tubingWebFeb 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 … edinburgh trust turn2usWebJan 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. edinburgh turkish consulateWebJul 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. … edinburgh tube mapWebAbstract. 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 … connectors for cisco sfp portWebTen major topics ? profusely illustrated ? include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party … edinburgh tubeedinburgh turnhouse apt