Geodesic
A Property of Canonical Graphs
Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 33 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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A finite connected graph is called canonical if no two of its vertices have the same neighbours. In this paper we prove that in all but a sequence of exceptional cases, deleting of a suitable chosen vertex in a canonical graph also gives a connected canonical graph. This property can have applications in various hereditary problems in the spectral Theory of Graphs.
Classification : 05C99 
@article{PIM_1991_N_S_50_64_a5,
     author = {Aleksandar Torga\v{s}ev},
     title = {A {Property} of {Canonical} {Graphs}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {33 },
     year = {1991},
     volume = {_N_S_50},
     number = {64},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a5/}
}
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Aleksandar Torgašev. A Property of Canonical Graphs. Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 33 . http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a5/