Geodesic
The planarity theorems of MacLane and Whitney for graph-like continua
The electronic journal of combinatorics, Tome 17 (2010)

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Zbl EuDML
The planarity theorems of MacLane and Whitney are extended to compact graph-like spaces. This generalizes recent results of Bruhn and Stein (MacLane's Theorem for the Freudenthal compactification of a locally finite graph) and of Bruhn and Diestel (Whitney's Theorem for an identification space obtained from a graph in which no two vertices are joined by infinitely many edge-disjoint paths).
DOI : 10.37236/284
Classification : 05C10
Mots-clés : graph-like continuum, planarity theorem 
Robin Christian; R. Bruce Richter; Brendan Rooney. The planarity theorems of MacLane and Whitney for graph-like continua. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/284
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     author = {Robin Christian and R. Bruce Richter and Brendan Rooney},
     title = {The planarity theorems of {MacLane} and {Whitney} for graph-like continua},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/284},
     zbl = {1221.05076},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/284/}
}
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