Geodesic
Edge-symmetric distance-regular coverings of complete graphs: the almost simple case
Algebra i logika, Tome 57 (2018) no. 2, pp. 214-231

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We complete the classification of edge-symmetric distance-regular coverings of complete graphs with $r\not\in\{2,k,(k-1)/\mu\}$ for the case of the almost simple action of an automorphism group of a graph on a set of its antipodal classes; here $r$ is the order of an antipodal class.
Keywords: edge-symmetric graph, distance-regular graph, complete graph, covering
Mots-clés : antipodal class. 
@article{AL_2018_57_2_a4,
     author = {A. A. Makhnev and D. V. Paduchikh and L. Yu. Tsiovkina},
     title = {Edge-symmetric distance-regular coverings of complete graphs: the almost simple case},
     journal = {Algebra i logika},
     pages = {214--231},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2018_57_2_a4/}
}
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A. A. Makhnev; D. V. Paduchikh; L. Yu. Tsiovkina. Edge-symmetric distance-regular coverings of complete graphs: the almost simple case. Algebra i logika, Tome 57 (2018) no. 2, pp. 214-231. http://geodesic.mathdoc.fr/item/AL_2018_57_2_a4/