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- Q5179252 subject Q7217283.
- Q5179252 abstract "In the mathematical discipline of graph theory, a graph C is a covering graph of another graph G if there is a covering map from the vertex set of C to the vertex set of G. A covering map f is a surjection and a local isomorphism: the neighbourhood of a v vertex in C is mapped bijectively onto the neighbourhood of f(v) in G.The term lift is often used synonymous for a covering graph of a connected graph.In graph theory, a covering graph may also refer to a subgraph that contains either all edges (edge cover) or all vertexes (vertex cover). The combinatorial formulation of covering graph is immediately generalized to the case of multigraph. If we identify a multigraph with a 1-dimensional cell complex, a covering graph is nothing but a special example of covering spaces of topological spaces, so that the terminology in the theory of covering spaces is available; say covering transformation group, universal covering, abelian covering, and maximal abelian covering.".
- Q5179252 thumbnail Covering-graph-4.svg?width=300.
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- Q5179252 comment "In the mathematical discipline of graph theory, a graph C is a covering graph of another graph G if there is a covering map from the vertex set of C to the vertex set of G.".
- Q5179252 label "Covering graph".
- Q5179252 depiction Covering-graph-4.svg.