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 … Web2. A k-edges connected graph is disconnected by removing k edges Note that if g is a connected graph we call separation edge of g an edge whose removal disconnects g …
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: WebMaximally Connected Graphs and Digraphs - RWTH Aachen ...
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. … http://www-scf.usc.edu/~hoyeeche/papers/connectivity_conf.pdf
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. … 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 …
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 …
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 … shut d0wn all n0w 0n this c0mputer n0wWebDOI: 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. the owl house llaverosWebA 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-... shutddown -s -t 10000WebAug 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 ... shut d0wn all n0w f0r me 0n this c0mputer n0wWebABSTRACT 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. shut dark mode offWebminimal 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]. shut d0wn all n0w n0whttp://www-scf.usc.edu/~hoyeeche/papers/connectivity_conf.pdf shut d0wn all n0w f0r me