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A survey on the missing Moore graph

Autor
Dalfo, C.
Tipus d'activitat
Article en revista
Revista
Linear algebra and its applications
Data de publicació
2019
Volum
569
Pàgina inicial
1
Pàgina final
14
DOI
https://doi.org/10.1016/j.laa.2018.12.035 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/127212 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/abs/pii/S0024379519300138 Obrir en finestra nova
Resum
This is a survey on some known properties of the possible Moore graph (or graphs) ¿ with degree 57 and diameter 2. Moreover, we give some new results about it, such as the following. When we consider the distance partition of ¿ induced by a vertex subset C, the following graphs are distance-regular: The induced graph of the vertices at distance 1 from C when C is a set of 400 independent vertices; the induced graphs of the vertices at distance 2 from C when C is a vertex or an edge, and the li...
Citació
Dalfo, C. A survey on the missing Moore graph. "Linear algebra and its applications", 2019, vol. 569, p. 1-14.
Paraules clau
Automorphisms, Distance-regular graph, Moore graphs, Outindependent graph, Spectral graph theory
Grup de recerca
COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions

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