Nontrivial nuciferous graphs exist
Ghorbani, Ebrahim
ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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A nuciferous graph is a simple graph with a non-singular 0-1 adjacency matrix A such that all the diagonal entries of A − 1 are zero and all the off-diagonal entries of A − 1 are non-zero. Sciriha et al. conjectured that except K2, no nuciferous graph exists. We disprove this conjecture. Moreover, we conjecture that there are infinitely many nuciferous Cayley graphs.

Publié le : 2016-01-01
DOI : https://doi.org/10.26493/1855-3974.1025.466 
@article{1025,
     title = {Nontrivial nuciferous graphs exist},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {12},
     year = {2016},
     doi = {10.26493/1855-3974.1025.466},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/1025}
}

Ghorbani, Ebrahim. Nontrivial nuciferous graphs exist. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.1025.466. http://gdmltest.u-ga.fr/item/1025/