Graphs with prescribed connectivities

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) …

Graphs with prescribed local connectivities Discrete Mathematics

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 … 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 … csudh registrar forms https://jmdcopiers.com

Low chromatic spanning sub(di)graphs with prescribed …

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 … 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 … 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 … csudh records office

Graph Connectivities, Network Coding, and Expander …

Category:Edge Connectivity vs Vertex Connectivity in Chordal Graphs

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Graphs with prescribed connectivities

On the connectivity of diamond-free graphs Discrete Applied …

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]. 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 ...

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 … WebMaximally Connected Graphs and Digraphs - RWTH Aachen ...

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 WebDOI: 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.

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 …

Web10 rows · Graphs with Prescribed Connectivities. The connectivity kappa (G) of a graph G is the minimum ...

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) … early sign of diabetic nephropathyWebOct 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 … early sign of hypoglycaemiaWebJan 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 … early sign of digitalis toxicity in childrenWebJan 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. early sign of hepatic failureWebgraph 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: early sign of anaphylaxisWebJan 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 csudh repeat and cancelWebRendiconti del Circolo Matematico di Palermo Series 2 - G. Chartrand and F. Harary,Graphs with prescribed connectivities, 1966, Symp. on Graph Theory, Tihany, Acad ... early sign of hemorrhage