A note on similar edges and edge-unique line graphs |
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| Authors: | David W Bange Anthony E Barkauskas Peter J Slater |
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| Institution: | Mathematics Department, University of Wisconsin-La Crosse, La Crosse, Wisconsin 54601 USA;Mathematics Department, University of Alabama in Huntsville, Huntsville, Alabama 34807 USA |
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| Abstract: | If G is a connected graph having no vertices of degree 2 and L(G) is its line graph, two results are proven: if there exist distinct edges e and f with L(G) ? e ? L(G) ? f then there is an automorphism of L(G) mapping e to f; if for any distinct vertices u, v, then for any distinct edges e, f. |
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