Geodesic
On the antimagic labeling of $(1,q)$-polar and $(1,q)$-decomposable graphs
Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 98-108

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In this paper the graphs yielded by the Algebraic Graph Decomposition theory are used to study the Hartsfield-Ringel conjecture on the antimagicness of connected graphs. This way some results on the conjecture are obtained, namely the antimagicness of connected $(1,2)$-polar and $(1,2)$-decomposable graphs, as well as connected $(1,q)$-polar and $(1,q)$-decomposable graphs satisfying some specific conditions. 
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     author = {Vitaly Kalachev},
     title = {On the antimagic labeling of $(1,q)$-polar and $(1,q)$-decomposable graphs},
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     url = {http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a9/}
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Vitaly Kalachev. On the antimagic labeling of $(1,q)$-polar and $(1,q)$-decomposable graphs. Trudy Instituta matematiki, Tome 28 (2020) no. 1, pp. 98-108. http://geodesic.mathdoc.fr/item/TIMB_2020_28_1_a9/