%A Cruz, Mariana M. F. da
%A Figueiredo, Celina M. H. de
%A Sasaki, Diana
%A Castonguay, Diane
%D 2023
%T On total coloring of small fullerene nanodiscs
%K
%X We investigate the total coloring of fullerene nanodiscs, a subclass of cubic planar graphs with girth 5 arising in Chemistry, motivated by a conjecture about the nonexistence of a Type 2 cubic graph of girth at least 5. We prove an auxiliary lemma which says that every central layer of a fullerene nanodisc is 4-total colorable, a necessary condition for the nanodisc to be Type 1, and we contribute by giving 4-total colorings for small fullerene nanodiscs, showing that these graphs are Type 1.
%U https://sol.sbc.org.br/index.php/etc/article/view/24733
%J Anais do Encontro de Teoria da Computação (ETC)
%0 Journal Article
%R 10.5753/etc.2023.230129
%P 15-19%@ 2595-6116
%8 2023-08-06