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
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