Maximally edge-connected hypergraphs
Web15 sep. 2024 · We call H maximally edge-connected if the edge-connectivity of H attains its minimum degree. In this paper, we present some sufficient conditions for linear uniform … Webedge 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
Maximally edge-connected hypergraphs
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Web15 sep. 2024 · We call H maximally edge-connected if the edge-connectivity of H attains its minimum degree. In this paper, we present some sufficient conditions for linear uniform hypergraphs to be maximally edge-connected that generalize the corresponding well-known results for graphs. Introduction WebEnter the email address you signed up with and we'll email you a reset link.
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 … WebA common consideration for scoring similarity is the maximum common subgraph (MCS) between the query and corpus graphs, usually counting the number of common edges (i.e., MCES). In some applications, it is also desirable that the common subgraph be connected, i.e., the maximum common connected subgraph (MCCS).
Web15 jul. 2024 · uniform vertex-transitive hypergraph is maximally edge-connected. We also show that if we relax either the linear or uniform conditions in this generalisation, then we can construct examples of vertex-transitive hypergraphs which are not maximally edge-connected. Submission history From: Robert Luther [view email] Web15 sep. 2024 · In this paper, we present some sufficient conditions for linear uniform hypergraphs to be maximally edge-connected that generalize the corresponding well …
Web6 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, …
http://math.xju.edu.cn/info/1027/1832.htm headington bowls clubWebWithout making strong assumptions, we develop an iterative connecting probability estimation method based on neighborhood averaging. Starting at a random initial point or an existing estimate, our method iteratively updates the pairwise vertex distances, the sets of similar vertices, and connecting probabilities to improve the precision of the estimate. headington bathrooms oxfordWeb1 dec. 2024 · Let H be a connected hypergraph with minimum degree δ(H), edge connectivity λ(H) and vertex connectivity κ(H). An r-uniform hypergraph is p-partite if its vertex set can be partitioned into p ... headington blindsWeb20 nov. 2024 · In this paper we consider two natural notions of connectivity for hypergraphs: weak and strong. We prove that the strong vertex connectivity of a … goldman sachs total assets 2022 wsjWebThe edge-connectivity of a graph or a hypergraph is defined as the minimum number of edges whose removal renders the graph or hypergraph disconnected. A graph or hypergraph is called maximally… Expand 5 Sufficient Conditions for Maximally Edge-Connected Hypergraphs Lin-Ken Tong, E. Shan Mathematics headington boots pharmacyWebDOI: 10.1016/j.disc.2013.03.003 Corpus ID: 5864492; Realizing degree sequences with k-edge-connected uniform hypergraphs @article{Gu2013RealizingDS, title={Realizing degree sequences with k-edge-connected uniform hypergraphs}, author={Xiaofeng Gu and Hongyuan Lai}, journal={Discret. headington bowls club oxfordWebLet Gbe a vertex-transitive and connected graph. Then Gis maximally edge-connected. Our main result is a generalisation of Mader’s Theorem (Theorem 1) to linear uniform hypergraphs. In particular, we show the following: Theorem 2. Let Hbe a linear k-uniform hypergraph with k> 3. If His vertex-transitive and connected, then His maximally edge ... goldman sachs trading app