Graphs having planar complementary line (total) graphs.
Simic, Slobodan K. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Simic, Slobodan K. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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A. K. Dewdney, Frank Harary (1976)
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Pavel Tomasta, Eliška Tomová (1988)
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Gary Chartrand, Farrokh Saba, Hung Bin Zou (1985)
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Gliviak, Ferdinand, Kyš, P. (1997)
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Ľubomír Šoltés (1992)
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Daniel C. Slilaty, Thomas Zaslavsky (2015)
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The line graph of a graph with signed edges carries vertex signs. A vertex-signed graph is consistent if every circle (cycle, circuit) has positive vertex-sign product. Acharya, Acharya, and Sinha recently characterized line-consistent signed graphs, i.e., edge-signed graphs whose line graphs, with the naturally induced vertex signature, are consistent. Their proof applies Hoede’s relatively difficult characterization of consistent vertex-signed graphs. We give a simple proof that does...