Maximally edge-connected hypergraphs
WebIn this work we study the Minimum Sum Set Coloring Problem (MSSCP) which consists in assign a set of ω (v) positive integers to each vertex v of a graph so that the intersection of sets assigned to adjacent vertices is empty and the sum of the WebA graph or hypergraph is called maximally edge-connected if the edge-connectivity equals its minimum degree. In this paper, we show that some classical sufficient …
Maximally edge-connected hypergraphs
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WebSemantic Scholar extracted view of "Edge-connectivity of permutation hypergraphs" by N. Jami et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 210,383,667 papers from all fields of science. Search. Sign In Create Free Account. Web3 okt. 2024 · Let H be a connected hypergraph with minimum degree δ and edge-connectivity λ. The hypergraph H is maximally edge-connected if λ=δ, and it is super …
WebThe above definitions of connectivity of graphs,maximally connected graphs,and transitive graphs extend in a natural way to hypergraphs.A hypergraph H=(V,E)is a pair consisting of a vertex set V and an edge set E of subsets of V,the hyperedges,or simply edges of H.If all edges of H have cardinality r,then we say that H is r-uniform.Clearly,a 2 ... http://math.xju.edu.cn/info/1027/1832.htm
Web3 aug. 2006 · Maximally edge-connected graphs and Zeroth-order general Randić index for $$\alpha \le -1$$ α ≤ - 1. ... Vol. 31, No. 1. Maximally edge-connected hypergraphs. Discrete Mathematics, Vol. 339, No. 1. Star complements and edge-connectivity in finite graphs. Linear Algebra and its Applications, Vol. 476. Finding Highly Connected ... WebWe investigate external and internal dynamics of a two-level atom strongly coupled to a weakly pumped nanophotonic cavity. We calculate the dipole force, friction force, and stochastic force due to the cavity pump field, and show that a three-dimensional cooling region exists near the surface of a cavity.
Web1 jul. 2024 · In this paper, we present some sufficient conditions for linear uniform hypergraphs to be maximally edge-connected that generalize the corresponding well …
Web16 feb. 2024 · GNNs have been shown to be effective at tasks such as node classification, link prediction, and graph classification, and have been applied to a wide range of domains including computer vision, natural language processing, electrical engineering, and bioinformatics [ 16, 17, 18, 19 ]. charting wound drainageWebedge is labelled), and hypergraphs (each edge can connect any number of vertices). However, in real-world datasets involving text and knowledge, relationships are much more complex in which hyperedges can be multi-relational, recursive, and ordered. Such structures present several unique challenges because it is not clear currys vax spot cleanerWeb6 jan. 2016 · The edge-connectivity of a connected graph or hypergraph is the minimum number of edges whose removal renders the graph or hypergraph, respectively, … currys voucher code fitbitWeb16 jul. 2024 · The edge-connectivity of a connected hypergraph H is the minimum number of edges (named as edge-cut) whose removal makes H disconnected. It is known that … charting woundsWeb1 jan. 2024 · Maximally edge-connected hypergraphs. January 2016 · Discrete Mathematics. Peter Dankelmann; Dirk Meierling; The edge-connectivity of a connected graph or hypergraph is the minimum number of ... charting wounds documentationWebIn this paper, the concept of super edge-connectivity of graphs is generalized to hypergraphs and a necessary and sufficient condition for an r -uniform and linear … charting your legacy small group studyWeb6 jan. 2016 · The edge-connectivity of a connected graph or hypergraph is the minimum number of edges whose removal renders the graph or hypergraph, respectively, … charting yhe tides worksheet 4th grade