Line graph of a hypergraph

id: line-graph-of-a-hypergraph-202-13924584
title: Line graph of a hypergraph
text: In graph theory, particularly in the theory of hypergraphs, the line graph of a hypergraph H, denoted L(H), is the graph whose vertex set is the set of the hyperedges of H, with two vertices adjacent in L(H) when their corresponding hyperedges have a nonempty intersection in H. In other words, L(H) is the intersection graph of a family of finite sets. It is a generalization of the line graph of a graph. Questions about line graphs of hypergraphs are often generalizations of questions about line
brand slug: wiki
category slug: encyclopedia
description: Generalization of line graphs to hypergraphs
original url: https://en.wikipedia.org/wiki/Line_graph_of_a_hypergraph
date created:
date modified: 2023-11-10T17:30:00Z
main entity: {"identifier":"Q6553253","url":"https://www.wikidata.org/entity/Q6553253"}
image:
fields total: 13
integrity: 14

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