Graphs with prescribed connectivities
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 … 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.
Graphs with prescribed connectivities
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WebJan 1, 1974 · Graphs with prescribed local connectivity and local edge-connectivity A graph G is n-edge connected if the removal (if fewer than rr edges results in neither a … WebJan 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.
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 … 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.Let G be a graph of order n, minimum degree δ, and vertex-connectivity k. If G is not ...
WebABSTRACT 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. 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 …
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. …
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]. shrublands lodge cheltenhamWebAug 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 … shrublands in australiaWebMar 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 … theory energyWebJan 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] shrublands londonWebChartrand 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 … theory empire cropped zip jacketWebAug 20, 2001 · Request PDF Edge Connectivity vs Vertex Connectivity in Chordal Graphs It is well known that in a graph, κ(G)≤λ(G) ≤ δ(G), where κ (G), δ(G) and d(G) denote the vertex connectivity ... theory encompasses commandmentsWebAbstract. 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 … theory emotional intelligence