Geodesic
An analogue of the Whitney theorem for edge graphs of multigraphs, and edge multigraphs
Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 98-105

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We deduce an analogue of the Whitney theorem for the edge graphs of multigraphs. We introduce and investigate edge multigraphs as well. 
@article{DM_1997_9_2_a9,
     author = {I. \'E. Zverovich},
     title = {An analogue of the {Whitney} theorem for edge graphs of multigraphs, and edge multigraphs},
     journal = {Diskretnaya Matematika},
     pages = {98--105},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_2_a9/}
}
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I. É. Zverovich. An analogue of the Whitney theorem for edge graphs of multigraphs, and edge multigraphs. Diskretnaya Matematika, Tome 9 (1997) no. 2, pp. 98-105. http://geodesic.mathdoc.fr/item/DM_1997_9_2_a9/